churn

Dataset statistics

Number of variables	20
Number of observations	5000
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	781.4 KiB
Average record size in memory	160.0 B

Variable types

NUM	16
BOOL	3
CAT	1

Reproduction

Analysis started	2020-08-25 01:13:27.506035
Analysis finished	2020-08-25 01:14:09.931188
Duration	42.43 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

`total intl minutes` is highly correlated with `total intl charge`	High correlation
`total intl charge` is highly correlated with `total intl minutes`	High correlation
`total night minutes` is highly correlated with `total night charge`	High correlation
`total night charge` is highly correlated with `total night minutes`	High correlation
`total day minutes` is highly correlated with `total day charge`	High correlation
`total day charge` is highly correlated with `total day minutes`	High correlation
`total eve minutes` is highly correlated with `total eve charge`	High correlation
`total eve charge` is highly correlated with `total eve minutes`	High correlation
`phone number` has unique values	Unique
`state` has 72 (1.4%) zeros	Zeros
`number customer service calls` has 1023 (20.5%) zeros	Zeros

state
Real number (ℝ_≥0)

ZEROS

Distinct count	51
Unique (%)	1.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	25.9984
Minimum	0
Maximum	50
Zeros	72
Zeros (%)	1.4%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	2
Q1	13
median	26
Q3	39
95-th percentile	49
Maximum	50
Range	50
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	14.8034802
Coefficient of variation (CV)	0.5693996631
Kurtosis	-1.185987798
Mean	25.9984
Median Absolute Deviation (MAD)	13
Skewness	-0.05797513823
Sum	129992
Variance	219.143026

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
49	158	3.2%
23	125	2.5%
1	124	2.5%
13	119	2.4%
45	118	2.4%
35	116	2.3%
43	116	2.3%
50	115	2.3%
34	114	2.3%
37	114	2.3%
44	112	2.2%
31	112	2.2%
48	106	2.1%
19	103	2.1%
21	103	2.1%
22	103	2.1%
20	102	2.0%
46	101	2.0%
16	99	2.0%
17	99	2.0%
26	99	2.0%
25	99	2.0%
39	99	2.0%
6	99	2.0%
47	98	2.0%
Other values (26)	2247	44.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	72	1.4%
1	124	2.5%
2	92	1.8%
3	89	1.8%
4	52	1.0%
5	96	1.9%
6	99	2.0%
7	88	1.8%
8	94	1.9%
9	90	1.8%

Value	Count	Frequency (%)
50	115	2.3%
49	158	3.2%
48	106	2.1%
47	98	2.0%
46	101	2.0%
45	118	2.4%
44	112	2.2%
43	116	2.3%
42	89	1.8%
41	85	1.7%

total intl calls
Real number (ℝ_≥0)

Distinct count	21
Unique (%)	0.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.4352
Minimum	0.0
Maximum	20.0
Zeros	24
Zeros (%)	0.5%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	3
median	4
Q3	6
95-th percentile	9
Maximum	20
Range	20
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.456788172
Coefficient of variation (CV)	0.5539295121
Kurtosis	3.268183647
Mean	4.4352
Median Absolute Deviation (MAD)	1
Skewness	1.360692479
Sum	22176
Variance	6.035808122

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3	992	19.8%
4	953	19.1%
2	743	14.9%
5	706	14.1%
6	495	9.9%
7	308	6.2%
1	265	5.3%
8	172	3.4%
9	148	3.0%
10	76	1.5%
11	45	0.9%
0	24	0.5%
12	23	0.5%
13	19	0.4%
15	9	0.2%
16	7	0.1%
14	6	0.1%
18	4	0.1%
19	2	< 0.1%
17	2	< 0.1%
20	1	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	24	0.5%
1	265	5.3%
2	743	14.9%
3	992	19.8%
4	953	19.1%
5	706	14.1%
6	495	9.9%
7	308	6.2%
8	172	3.4%
9	148	3.0%

Value	Count	Frequency (%)
20	1	< 0.1%
19	2	< 0.1%
18	4	0.1%
17	2	< 0.1%
16	7	0.1%
15	9	0.2%
14	6	0.1%
13	19	0.4%
12	23	0.5%
11	45	0.9%

total night charge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1028
Unique (%)	20.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9.017732
Minimum	0.0
Maximum	17.77
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	5.28
Q1	7.51
median	9.02
Q3	10.56
95-th percentile	12.7505
Maximum	17.77
Range	17.77
Interquartile range (IQR)	3.05

Descriptive statistics

Standard deviation	2.273762656
Coefficient of variation (CV)	0.2521435163
Kurtosis	0.08237761539
Mean	9.017732
Median Absolute Deviation (MAD)	1.52
Skewness	0.01928674434
Sum	45088.66
Variance	5.169996615

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
9.66	19	0.4%
8.47	19	0.4%
10.26	18	0.4%
10.8	18	0.4%
8.15	18	0.4%
9.4	18	0.4%
9.63	18	0.4%
10.49	17	0.3%
9.45	17	0.3%
8.88	16	0.3%
9.76	16	0.3%
10.35	16	0.3%
9.65	16	0.3%
8.28	15	0.3%
9.23	15	0.3%
7.69	15	0.3%
9.18	15	0.3%
9.09	15	0.3%
8.82	15	0.3%
7.15	14	0.3%
9.27	14	0.3%
9.14	14	0.3%
8.57	14	0.3%
7.92	14	0.3%
8.74	14	0.3%
Other values (1003)	4600	92.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.04	1	< 0.1%
1.97	1	< 0.1%
2.03	1	< 0.1%
2.1	1	< 0.1%
2.13	1	< 0.1%
2.25	2	< 0.1%
2.29	1	< 0.1%
2.4	1	< 0.1%
2.43	1	< 0.1%

Value	Count	Frequency (%)
17.77	1	< 0.1%
17.19	1	< 0.1%
17.17	1	< 0.1%
16.99	1	< 0.1%
16.55	1	< 0.1%
16.42	1	< 0.1%
16.39	1	< 0.1%
16.2	1	< 0.1%
15.98	1	< 0.1%
15.97	1	< 0.1%

account length
Real number (ℝ_≥0)

Distinct count	218
Unique (%)	4.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.2586
Minimum	1.0
Maximum	243.0
Zeros	0
Zeros (%)	0.0%
Memory size	39.2 KiB

Quantile statistics

Minimum	1
5-th percentile	35
Q1	73
median	100
Q3	127
95-th percentile	167
Maximum	243
Range	242
Interquartile range (IQR)	54

Descriptive statistics

Standard deviation	39.69455955
Coefficient of variation (CV)	0.3959217418
Kurtosis	-0.1016210812
Mean	100.2586
Median Absolute Deviation (MAD)	27
Skewness	0.1092911238
Sum	501293
Variance	1575.658058

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
90	65	1.3%
87	59	1.2%
93	57	1.1%
105	57	1.1%
112	56	1.1%
100	55	1.1%
86	55	1.1%
101	55	1.1%
116	54	1.1%
103	54	1.1%
78	53	1.1%
127	53	1.1%
98	53	1.1%
95	53	1.1%
94	52	1.0%
120	52	1.0%
106	51	1.0%
117	51	1.0%
122	51	1.0%
88	50	1.0%
92	50	1.0%
115	48	1.0%
80	47	0.9%
74	47	0.9%
113	46	0.9%
Other values (193)	3676	73.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	11	0.2%
2	2	< 0.1%
3	8	0.2%
4	3	0.1%
5	2	< 0.1%
6	2	< 0.1%
7	5	0.1%
8	2	< 0.1%
9	3	0.1%
10	3	0.1%

Value	Count	Frequency (%)
243	1	< 0.1%
238	1	< 0.1%
233	1	< 0.1%
232	2	< 0.1%
225	2	< 0.1%
224	2	< 0.1%
222	2	< 0.1%
221	1	< 0.1%
217	3	0.1%
216	1	< 0.1%

total day calls
Real number (ℝ_≥0)

Distinct count	123
Unique (%)	2.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.0294
Minimum	0.0
Maximum	165.0
Zeros	2
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	113
95-th percentile	133
Maximum	165
Range	165
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.83119742
Coefficient of variation (CV)	0.1982536876
Kurtosis	0.1785677943
Mean	100.0294
Median Absolute Deviation (MAD)	13
Skewness	-0.08489096367
Sum	500147
Variance	393.2763909

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	117	2.3%
102	113	2.3%
95	108	2.2%
94	104	2.1%
97	104	2.1%
100	102	2.0%
112	101	2.0%
110	101	2.0%
108	100	2.0%
92	100	2.0%
98	99	2.0%
106	99	2.0%
104	98	2.0%
107	98	2.0%
96	98	2.0%
101	95	1.9%
91	95	1.9%
88	93	1.9%
99	91	1.8%
109	89	1.8%
114	89	1.8%
93	86	1.7%
113	85	1.7%
103	84	1.7%
90	83	1.7%
Other values (98)	2568	51.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	< 0.1%
30	1	< 0.1%
34	1	< 0.1%
35	1	< 0.1%
36	1	< 0.1%
39	2	< 0.1%
40	2	< 0.1%
42	2	< 0.1%
44	4	0.1%
45	3	0.1%

Value	Count	Frequency (%)
165	1	< 0.1%
163	1	< 0.1%
160	2	< 0.1%
158	3	0.1%
157	2	< 0.1%
156	3	0.1%
152	2	< 0.1%
151	7	0.1%
150	6	0.1%
149	2	< 0.1%

voice mail plan
Boolean

Distinct count	2
Unique (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	39.2 KiB

0	3677
1	1323

Frequency Table

Value	Count	Frequency (%)
0	3677	73.5%
1	1323	26.5%

total eve calls
Real number (ℝ_≥0)

Distinct count	126
Unique (%)	2.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.191
Minimum	0.0
Maximum	170.0
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	114
95-th percentile	133
Maximum	170
Range	170
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.82649583
Coefficient of variation (CV)	0.1978869942
Kurtosis	0.1173634027
Mean	100.191
Median Absolute Deviation (MAD)	13
Skewness	-0.02017520328
Sum	500955
Variance	393.089937

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	115	2.3%
97	110	2.2%
91	110	2.2%
103	106	2.1%
94	106	2.1%
101	104	2.1%
96	100	2.0%
104	100	2.0%
109	99	2.0%
102	99	2.0%
98	99	2.0%
88	98	2.0%
108	98	2.0%
89	98	2.0%
110	96	1.9%
106	96	1.9%
111	96	1.9%
100	90	1.8%
93	89	1.8%
107	85	1.7%
95	84	1.7%
90	84	1.7%
115	83	1.7%
92	80	1.6%
83	80	1.6%
Other values (101)	2595	51.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
36	1	< 0.1%
37	1	< 0.1%
38	1	< 0.1%
42	1	< 0.1%
43	1	< 0.1%
44	2	< 0.1%
45	1	< 0.1%
46	5	0.1%

Value	Count	Frequency (%)
170	1	< 0.1%
169	1	< 0.1%
168	1	< 0.1%
164	1	< 0.1%
159	1	< 0.1%
157	1	< 0.1%
156	1	< 0.1%
155	5	0.1%
154	4	0.1%
153	1	< 0.1%

phone number
Real number (ℝ_≥0)

UNIQUE

Distinct count	5000
Unique (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2499.5
Minimum	0
Maximum	4999
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	249.95
Q1	1249.75
median	2499.5
Q3	3749.25
95-th percentile	4749.05
Maximum	4999
Range	4999
Interquartile range (IQR)	2499.5

Descriptive statistics

Standard deviation	1443.520003
Coefficient of variation (CV)	0.577523506
Kurtosis	-1.2
Mean	2499.5
Median Absolute Deviation (MAD)	1250
Skewness	0
Sum	12497500
Variance	2083750

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
2047	1	< 0.1%
4655	1	< 0.1%
549	1	< 0.1%
4647	1	< 0.1%
2600	1	< 0.1%
553	1	< 0.1%
4651	1	< 0.1%
2604	1	< 0.1%
557	1	< 0.1%
2608	1	< 0.1%
4643	1	< 0.1%
561	1	< 0.1%
4659	1	< 0.1%
2612	1	< 0.1%
565	1	< 0.1%
4663	1	< 0.1%
2616	1	< 0.1%
569	1	< 0.1%
2596	1	< 0.1%
545	1	< 0.1%
2464	1	< 0.1%
2580	1	< 0.1%
4619	1	< 0.1%
2572	1	< 0.1%
525	1	< 0.1%
Other values (4975)	4975	99.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
1	1	< 0.1%
2	1	< 0.1%
3	1	< 0.1%
4	1	< 0.1%
5	1	< 0.1%
6	1	< 0.1%
7	1	< 0.1%
8	1	< 0.1%
9	1	< 0.1%

Value	Count	Frequency (%)
4999	1	< 0.1%
4998	1	< 0.1%
4997	1	< 0.1%
4996	1	< 0.1%
4995	1	< 0.1%
4994	1	< 0.1%
4993	1	< 0.1%
4992	1	< 0.1%
4991	1	< 0.1%
4990	1	< 0.1%

total intl charge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	170
Unique (%)	3.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.7711959999999998
Minimum	0.0
Maximum	5.4
Zeros	24
Zeros (%)	0.5%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	1.54
Q1	2.3
median	2.78
Q3	3.24
95-th percentile	3.97
Maximum	5.4
Range	5.4
Interquartile range (IQR)	0.94

Descriptive statistics

Standard deviation	0.7455137073
Coefficient of variation (CV)	0.269022367
Kurtosis	0.6559885458
Mean	2.771196
Median Absolute Deviation (MAD)	0.48
Skewness	-0.2102861147
Sum	13855.98
Variance	0.5557906877

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3	90	1.8%
2.65	88	1.8%
3.05	83	1.7%
2.73	81	1.6%
3.08	81	1.6%
2.94	80	1.6%
2.62	79	1.6%
2.84	78	1.6%
2.97	78	1.6%
2.86	78	1.6%
2.7	78	1.6%
2.75	77	1.5%
2.57	75	1.5%
2.89	75	1.5%
3.02	72	1.4%
2.67	72	1.4%
3.13	72	1.4%
3.11	71	1.4%
2.78	70	1.4%
2.81	69	1.4%
2.43	68	1.4%
2.4	67	1.3%
3.24	67	1.3%
2.92	67	1.3%
2.48	66	1.3%
Other values (145)	3118	62.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	24	0.5%
0.11	1	< 0.1%
0.3	2	< 0.1%
0.35	1	< 0.1%
0.54	3	0.1%
0.57	2	< 0.1%
0.59	2	< 0.1%
0.65	1	< 0.1%
0.68	1	< 0.1%
0.7	1	< 0.1%

Value	Count	Frequency (%)
5.4	1	< 0.1%
5.32	2	< 0.1%
5.21	1	< 0.1%
5.18	1	< 0.1%
5.1	2	< 0.1%
5.05	1	< 0.1%
5	1	< 0.1%
4.97	1	< 0.1%
4.94	1	< 0.1%
4.91	2	< 0.1%

total intl minutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	170
Unique (%)	3.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.261779999999998
Minimum	0.0
Maximum	20.0
Zeros	24
Zeros (%)	0.5%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	5.7
Q1	8.5
median	10.3
Q3	12
95-th percentile	14.7
Maximum	20
Range	20
Interquartile range (IQR)	3.5

Descriptive statistics

Standard deviation	2.761395715
Coefficient of variation (CV)	0.2690951974
Kurtosis	0.6553166102
Mean	10.26178
Median Absolute Deviation (MAD)	1.8
Skewness	-0.2099662929
Sum	51308.9
Variance	7.625306293

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
11.1	90	1.8%
9.8	88	1.8%
11.3	83	1.7%
10.1	81	1.6%
11.4	81	1.6%
10.9	80	1.6%
9.7	79	1.6%
11	78	1.6%
10.6	78	1.6%
10.5	78	1.6%
10	78	1.6%
10.2	77	1.5%
9.5	75	1.5%
10.7	75	1.5%
11.6	72	1.4%
11.2	72	1.4%
9.9	72	1.4%
11.5	71	1.4%
10.3	70	1.4%
10.4	69	1.4%
9	68	1.4%
10.8	67	1.3%
8.9	67	1.3%
12	67	1.3%
9.2	66	1.3%
Other values (145)	3118	62.4%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	24	0.5%
0.4	1	< 0.1%
1.1	2	< 0.1%
1.3	1	< 0.1%
2	3	0.1%
2.1	2	< 0.1%
2.2	2	< 0.1%
2.4	1	< 0.1%
2.5	1	< 0.1%
2.6	1	< 0.1%

Value	Count	Frequency (%)
20	1	< 0.1%
19.7	2	< 0.1%
19.3	1	< 0.1%
19.2	1	< 0.1%
18.9	2	< 0.1%
18.7	1	< 0.1%
18.5	1	< 0.1%
18.4	1	< 0.1%
18.3	1	< 0.1%
18.2	2	< 0.1%

total night minutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1853
Unique (%)	37.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	200.39162000000002
Minimum	0.0
Maximum	395.0
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	117.395
Q1	166.9
median	200.4
Q3	234.7
95-th percentile	283.405
Maximum	395
Range	395
Interquartile range (IQR)	67.8

Descriptive statistics

Standard deviation	50.52778926
Coefficient of variation (CV)	0.2521452207
Kurtosis	0.08235919689
Mean	200.39162
Median Absolute Deviation (MAD)	33.8
Skewness	0.01932491656
Sum	1001958.1
Variance	2553.057487

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
186.2	11	0.2%
188.2	11	0.2%
194.3	11	0.2%
208.9	10	0.2%
228.1	10	0.2%
214.6	10	0.2%
197.4	9	0.2%
214.7	9	0.2%
192.7	9	0.2%
193.6	9	0.2%
210	9	0.2%
191.4	9	0.2%
169.4	9	0.2%
221.6	8	0.2%
230.1	8	0.2%
181.2	8	0.2%
213.7	8	0.2%
214.5	8	0.2%
215.8	8	0.2%
214.4	8	0.2%
239.9	8	0.2%
182.3	8	0.2%
220.3	8	0.2%
221.7	8	0.2%
214	8	0.2%
Other values (1828)	4778	95.6%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
23.2	1	< 0.1%
43.7	1	< 0.1%
45	1	< 0.1%
46.7	1	< 0.1%
47.4	1	< 0.1%
50.1	2	< 0.1%
50.9	1	< 0.1%
53.3	1	< 0.1%
54	1	< 0.1%

Value	Count	Frequency (%)
395	1	< 0.1%
381.9	1	< 0.1%
381.6	1	< 0.1%
377.5	1	< 0.1%
367.7	1	< 0.1%
364.9	1	< 0.1%
364.3	1	< 0.1%
359.9	1	< 0.1%
355.1	1	< 0.1%
354.9	1	< 0.1%

area code
Categorical

Distinct count	3
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	39.2 KiB

415	2495
408	1259
510	1246

Value	Count	Frequency (%)
415	2495	49.9%
408	1259	25.2%
510	1246	24.9%

Length

Max length	5
Median length	5
Mean length	5
Min length	5

Overview of Unicode Properties

Unique unicode characters	6
Unique unicode categories (?)	2
Unique unicode scripts (?)	1
Unique unicode blocks (?)	1

The Unicode Standard assigns character properties to each code point, which can be used to analyse textual variables.

Most occurring characters

Value	Count	Frequency (%)
0	7505	30.0%
.	5000	20.0%
4	3754	15.0%
1	3741	15.0%
5	3741	15.0%
8	1259	5.0%

Most occurring categories

Value	Count	Frequency (%)
Decimal Number	20000	80.0%
Other Punctuation	5000	20.0%

Most frequent Decimal Number characters

Value	Count	Frequency (%)
0	7505	37.5%
4	3754	18.8%
1	3741	18.7%
5	3741	18.7%
8	1259	6.3%

Most frequent Other Punctuation characters

Value	Count	Frequency (%)
.	5000	100.0%

Most occurring scripts

Value	Count	Frequency (%)
Common	25000	100.0%

Most frequent Common characters

Value	Count	Frequency (%)
0	7505	30.0%
.	5000	20.0%
4	3754	15.0%
1	3741	15.0%
5	3741	15.0%
8	1259	5.0%

Most occurring blocks

Value	Count	Frequency (%)
ASCII	25000	100.0%

Most frequent ASCII characters

Value	Count	Frequency (%)
0	7505	30.0%
.	5000	20.0%
4	3754	15.0%
1	3741	15.0%
5	3741	15.0%
8	1259	5.0%

total day charge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1961
Unique (%)	39.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	30.649668
Minimum	0.0
Maximum	59.76
Zeros	2
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	15.59
Q1	24.43
median	30.62
Q3	36.75
95-th percentile	46.0905
Maximum	59.76
Range	59.76
Interquartile range (IQR)	12.32

Descriptive statistics

Standard deviation	9.162068692
Coefficient of variation (CV)	0.298928807
Kurtosis	-0.02116592527
Mean	30.649668
Median Absolute Deviation (MAD)	6.17
Skewness	-0.01172900707
Sum	153248.34
Variance	83.94350271

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
26.18	10	0.2%
32.18	10	0.2%
30.6	9	0.2%
30.11	9	0.2%
29.67	9	0.2%
27.12	9	0.2%
31.37	9	0.2%
32.27	8	0.2%
28.66	8	0.2%
30.96	8	0.2%
31.45	8	0.2%
24.43	8	0.2%
36.65	8	0.2%
28.63	8	0.2%
31.18	8	0.2%
27.25	7	0.1%
36.92	7	0.1%
35.68	7	0.1%
32.86	7	0.1%
37.57	7	0.1%
37.64	7	0.1%
30.12	7	0.1%
33.32	7	0.1%
24.02	7	0.1%
32.95	7	0.1%
Other values (1936)	4801	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	< 0.1%
0.44	1	< 0.1%
1.12	1	< 0.1%
1.22	1	< 0.1%
1.33	1	< 0.1%
1.34	1	< 0.1%
2.13	1	< 0.1%
2.99	1	< 0.1%
3.21	1	< 0.1%
3.32	1	< 0.1%

Value	Count	Frequency (%)
59.76	1	< 0.1%
59.64	1	< 0.1%
58.96	1	< 0.1%
58.7	1	< 0.1%
57.53	1	< 0.1%
57.36	1	< 0.1%
57.04	1	< 0.1%
56.83	1	< 0.1%
56.59	1	< 0.1%
56.46	1	< 0.1%

number customer service calls
Real number (ℝ_≥0)

ZEROS

Distinct count	10
Unique (%)	0.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.5704
Minimum	0.0
Maximum	9.0
Zeros	1023
Zeros (%)	20.5%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	1
Q3	2
95-th percentile	4
Maximum	9
Range	9
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	1.306363333
Coefficient of variation (CV)	0.8318666153
Kurtosis	1.48109554
Mean	1.5704
Median Absolute Deviation (MAD)	1
Skewness	1.04246233
Sum	7852
Variance	1.706585157

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	1786	35.7%
2	1127	22.5%
0	1023	20.5%
3	665	13.3%
4	252	5.0%
5	96	1.9%
6	34	0.7%
7	13	0.3%
8	2	< 0.1%
9	2	< 0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1023	20.5%
1	1786	35.7%
2	1127	22.5%
3	665	13.3%
4	252	5.0%
5	96	1.9%
6	34	0.7%
7	13	0.3%
8	2	< 0.1%
9	2	< 0.1%

Value	Count	Frequency (%)
9	2	< 0.1%
8	2	< 0.1%
7	13	0.3%
6	34	0.7%
5	96	1.9%
4	252	5.0%
3	665	13.3%
2	1127	22.5%
1	1786	35.7%
0	1023	20.5%

international plan
Boolean

Distinct count	2
Unique (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	39.2 KiB

0	4527
1	473

Frequency Table

Value	Count	Frequency (%)
0	4527	90.5%
1	473	9.5%

total eve charge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1659
Unique (%)	33.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	17.054322
Minimum	0.0
Maximum	30.91
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	10.0695
Q1	14.14
median	17.09
Q3	19.9
95-th percentile	24.112
Maximum	30.91
Range	30.91
Interquartile range (IQR)	5.76

Descriptive statistics

Standard deviation	4.296843301
Coefficient of variation (CV)	0.251950403
Kurtosis	0.0512887853
Mean	17.054322
Median Absolute Deviation (MAD)	2.89
Skewness	-0.01099032836
Sum	85271.61
Variance	18.46286235

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
14.25	15	0.3%
15.9	15	0.3%
16.12	14	0.3%
18.79	13	0.3%
18.96	13	0.3%
16.97	13	0.3%
19.41	12	0.2%
16.8	11	0.2%
17.09	11	0.2%
16.18	11	0.2%
17.99	11	0.2%
18.62	11	0.2%
16.35	11	0.2%
16.41	11	0.2%
17.82	11	0.2%
16.63	10	0.2%
17.6	10	0.2%
14.44	10	0.2%
14.2	10	0.2%
17.43	10	0.2%
16.24	10	0.2%
19.63	10	0.2%
17.77	10	0.2%
18.33	10	0.2%
20.2	10	0.2%
Other values (1634)	4717	94.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
1.9	1	< 0.1%
2.65	1	< 0.1%
3.21	1	< 0.1%
3.54	1	< 0.1%
3.59	1	< 0.1%
3.61	1	< 0.1%
3.73	1	< 0.1%
4.02	2	< 0.1%
4.09	1	< 0.1%

Value	Count	Frequency (%)
30.91	1	< 0.1%
30.75	1	< 0.1%
30.54	1	< 0.1%
30.11	1	< 0.1%
29.93	1	< 0.1%
29.89	1	< 0.1%
29.83	1	< 0.1%
29.79	1	< 0.1%
29.7	1	< 0.1%
29.66	1	< 0.1%

total day minutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1961
Unique (%)	39.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	180.2889
Minimum	0.0
Maximum	351.5
Zeros	2
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	91.7
Q1	143.7
median	180.1
Q3	216.2
95-th percentile	271.105
Maximum	351.5
Range	351.5
Interquartile range (IQR)	72.5

Descriptive statistics

Standard deviation	53.89469917
Coefficient of variation (CV)	0.2989352044
Kurtosis	-0.02129447073
Mean	180.2889
Median Absolute Deviation (MAD)	36.3
Skewness	-0.01173082717
Sum	901444.5
Variance	2904.638599

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
189.3	10	0.2%
154	10	0.2%
180	9	0.2%
174.5	9	0.2%
177.1	9	0.2%
184.5	9	0.2%
159.5	9	0.2%
168.6	8	0.2%
183.4	8	0.2%
143.7	8	0.2%
168.4	8	0.2%
182.1	8	0.2%
215.6	8	0.2%
185	8	0.2%
189.8	8	0.2%
196	7	0.1%
197	7	0.1%
157.1	7	0.1%
191.3	7	0.1%
193.3	7	0.1%
138.1	7	0.1%
217.2	7	0.1%
162.3	7	0.1%
209.9	7	0.1%
216	7	0.1%
Other values (1936)	4801	96.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	< 0.1%
2.6	1	< 0.1%
6.6	1	< 0.1%
7.2	1	< 0.1%
7.8	1	< 0.1%
7.9	1	< 0.1%
12.5	1	< 0.1%
17.6	1	< 0.1%
18.9	1	< 0.1%
19.5	1	< 0.1%

Value	Count	Frequency (%)
351.5	1	< 0.1%
350.8	1	< 0.1%
346.8	1	< 0.1%
345.3	1	< 0.1%
338.4	1	< 0.1%
337.4	1	< 0.1%
335.5	1	< 0.1%
334.3	1	< 0.1%
332.9	1	< 0.1%
332.1	1	< 0.1%

total eve minutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1879
Unique (%)	37.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	200.63656
Minimum	0.0
Maximum	363.7
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	118.495
Q1	166.375
median	201
Q3	234.1
95-th percentile	283.72
Maximum	363.7
Range	363.7
Interquartile range (IQR)	67.725

Descriptive statistics

Standard deviation	50.55130897
Coefficient of variation (CV)	0.2519546237
Kurtosis	0.05137513056
Mean	200.63656
Median Absolute Deviation (MAD)	34
Skewness	-0.01101769459
Sum	1003182.8
Variance	2555.434838

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
199.7	10	0.2%
169.9	10	0.2%
230.9	10	0.2%
210.6	9	0.2%
187	9	0.2%
216.5	9	0.2%
223.5	9	0.2%
188.8	9	0.2%
194	9	0.2%
161.7	9	0.2%
187.5	9	0.2%
167.6	9	0.2%
209.4	8	0.2%
182	8	0.2%
230	8	0.2%
170.9	8	0.2%
211.7	8	0.2%
211.5	8	0.2%
223	8	0.2%
196	8	0.2%
177.8	8	0.2%
228.4	8	0.2%
195.7	8	0.2%
201	8	0.2%
221.1	8	0.2%
Other values (1854)	4785	95.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
22.3	1	< 0.1%
31.2	1	< 0.1%
37.8	1	< 0.1%
41.7	1	< 0.1%
42.2	1	< 0.1%
42.5	1	< 0.1%
43.9	1	< 0.1%
47.3	2	< 0.1%
48.1	1	< 0.1%

Value	Count	Frequency (%)
363.7	1	< 0.1%
361.8	1	< 0.1%
359.3	1	< 0.1%
354.2	1	< 0.1%
352.1	1	< 0.1%
351.6	1	< 0.1%
350.9	1	< 0.1%
350.5	1	< 0.1%
349.4	1	< 0.1%
348.9	1	< 0.1%

total night calls
Real number (ℝ_≥0)

Distinct count	131
Unique (%)	2.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	99.9192
Minimum	0.0
Maximum	175.0
Zeros	1
Zeros (%)	< 0.1%
Memory size	39.2 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	100
Q3	113
95-th percentile	132
Maximum	175
Range	175
Interquartile range (IQR)	26

Descriptive statistics

Standard deviation	19.95868586
Coefficient of variation (CV)	0.1997482552
Kurtosis	0.1444380753
Mean	99.9192
Median Absolute Deviation (MAD)	13
Skewness	0.002132842744
Sum	499596
Variance	398.3491412

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	121	2.4%
102	109	2.2%
100	108	2.2%
104	106	2.1%
99	105	2.1%
103	104	2.1%
94	103	2.1%
91	103	2.1%
98	102	2.0%
95	102	2.0%
109	97	1.9%
96	95	1.9%
106	92	1.8%
108	91	1.8%
97	90	1.8%
92	89	1.8%
90	89	1.8%
110	88	1.8%
113	86	1.7%
112	86	1.7%
89	86	1.7%
93	84	1.7%
107	83	1.7%
87	81	1.6%
111	77	1.5%
Other values (106)	2623	52.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	1	< 0.1%
33	1	< 0.1%
36	1	< 0.1%
38	2	< 0.1%
40	1	< 0.1%
41	1	< 0.1%
42	4	0.1%
43	1	< 0.1%
44	1	< 0.1%

Value	Count	Frequency (%)
175	1	< 0.1%
170	1	< 0.1%
168	1	< 0.1%
166	1	< 0.1%
165	1	< 0.1%
164	1	< 0.1%
161	1	< 0.1%
160	1	< 0.1%
159	2	< 0.1%
158	2	< 0.1%

target
Boolean

Distinct count	2
Unique (%)	< 0.1%
Missing	0
Missing (%)	0.0%
Memory size	39.2 KiB

0	4293
1	707

Frequency Table

Value	Count	Frequency (%)
0	4293	85.9%
1	707	14.1%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	state	total intl calls	total night charge	account length	total day calls	voice mail plan	total eve calls	phone number	total intl charge	total intl minutes	total night minutes	area code	total day charge	number customer service calls	international plan	total eve charge	total day minutes	total eve minutes	total night calls
0	16	3.0	11.01	128.0	110.0	1	99.0	2845	2.70	10.0	244.7	415.0	45.07	1.0	0	16.78	265.1	197.4	91.0
1	35	3.0	11.45	107.0	123.0	1	103.0	2301	3.70	13.7	254.4	415.0	27.47	1.0	0	16.62	161.6	195.5	103.0
2	31	5.0	7.32	137.0	114.0	0	110.0	1616	3.29	12.2	162.6	415.0	41.38	0.0	0	10.30	243.4	121.2	104.0
3	35	7.0	8.86	84.0	71.0	0	88.0	2510	1.78	6.6	196.9	408.0	50.90	2.0	1	5.26	299.4	61.9	89.0
4	36	3.0	8.41	75.0	113.0	0	122.0	155	2.73	10.1	186.9	415.0	28.34	3.0	1	12.61	166.7	148.3	121.0
5	1	6.0	9.18	118.0	98.0	0	101.0	3355	1.70	6.3	203.9	510.0	37.98	0.0	1	18.75	223.4	220.6	118.0
6	19	7.0	9.57	121.0	88.0	1	108.0	1516	2.03	7.5	212.6	510.0	37.09	3.0	0	29.62	218.2	348.5	118.0
7	24	6.0	9.53	147.0	79.0	0	94.0	116	1.92	7.1	211.8	415.0	26.69	0.0	1	8.76	157.0	103.1	96.0
8	18	4.0	9.71	117.0	97.0	0	80.0	425	2.35	8.7	215.8	408.0	31.37	1.0	0	29.89	184.5	351.6	90.0
9	49	5.0	14.69	141.0	84.0	1	111.0	163	3.02	11.2	326.4	415.0	43.96	0.0	1	18.87	258.6	222.0	97.0

Last rows

	state	total intl calls	total night charge	account length	total day calls	voice mail plan	total eve calls	phone number	total intl charge	total intl minutes	total night minutes	area code	total day charge	number customer service calls	total eve charge	total day minutes	total eve minutes	total night calls	target
4990	28	6.0	10.41	140.0	115.0	0	101.0	1949	2.03	7.5	231.3	510.0	41.60	1.0	21.98	244.7	258.6	112.0	1
4991	3	5.0	11.54	97.0	89.0	0	91.0	4367	2.38	8.8	256.5	510.0	42.94	1.0	28.93	252.6	340.3	67.0	1
4992	26	6.0	9.62	83.0	70.0	0	88.0	1476	2.78	10.3	213.7	415.0	32.01	0.0	20.72	188.3	243.8	79.0	0
4993	49	6.0	8.38	73.0	89.0	0	82.0	4467	3.11	11.5	186.2	408.0	30.24	3.0	11.15	177.9	131.2	89.0	0
4994	27	7.0	5.81	75.0	101.0	0	126.0	4726	1.86	6.9	129.1	408.0	29.02	1.0	16.41	170.7	193.1	104.0	0
4995	11	5.0	13.39	50.0	127.0	1	126.0	2000	2.67	9.9	297.5	408.0	40.07	2.0	18.96	235.7	223.0	116.0	0
4996	49	2.0	9.61	152.0	90.0	0	73.0	394	3.97	14.7	213.6	415.0	31.31	3.0	21.83	184.2	256.8	113.0	1
4997	7	4.0	9.56	61.0	89.0	0	128.0	313	3.67	13.6	212.4	415.0	23.90	1.0	14.69	140.6	172.8	97.0	0
4998	7	6.0	10.10	109.0	67.0	0	92.0	3471	2.30	8.5	224.4	510.0	32.10	0.0	14.59	188.8	171.7	89.0	0
4999	46	16.0	6.97	86.0	102.0	1	104.0	2412	2.51	9.3	154.8	415.0	22.00	0.0	22.70	129.4	267.1	100.0	0

Overview

Variables

Most occurring characters

Most occurring categories

Most frequent Decimal Number characters

Most frequent Other Punctuation characters

Most occurring scripts

Most frequent Common characters

Most occurring blocks

Most frequent ASCII characters

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows