Statistics calculator

The statistics calculator allows computing many of the statistical properties of data. It supports computing mean, median, harmonic mean, geometric mean, minimum, maximum, range, variance, and standard deviation. Data input should be a series of numbers separated by spaces, newlines, commas, or semicolons.

56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43

Recalculate  

Calculation:

Statistical file:
{56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43}


Average (mean): μ=36.1875
Absolute deviation: 189.75
Mean deviation: 11.859375
Minimum: 12
Maximum: 67
Variance: 208.40234375
Standard deviation σ=14.436147122761
Corrected sample standard deviation s=14.909588637294
Coefficient of variation c_V=0.41200935785269
Signal-to-noise ratio SNR=2.4271293380612
Median: 33
Quartile Q1: 23.25
Quartile Q2: 33
Quartile Q3: 46.5
1st decile: 16.9 (Too few data to calculate deciles)
2nd decile: 23
3rd decile: 24.8
4th decile: 32
5th decile: 33
6th decile: 37.4
7th decile: 44.8
8th decile: 51.2
9th decile: 59.3
Interquartile range IQR: 23.25
Quartile Deviation QD: 11.625
Coefficient of Quartile Deviation CQD: 0.33333333333333
Lower fence: -11.625
Upper fence: 81.375
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 42.4
Mode: 32 - unimodal
Geometric mean: 33.162081564588
Harmonic mean: 29.985945422427
Sum: 579
Sum of squares: 3334.4375
Sum of absolute values: 579
Average absolute deviation: 11.859375
Range: 55
Frequency table :

element	frequency	cumulative frequency	relative frequency	cumulative relative frequency
12	1	1	0.0625	0.0625
19	1	2	0.0625	0.125
23	2	4	0.125	0.25
24	1	5	0.0625	0.3125
32	3	8	0.1875	0.5
34	1	9	0.0625	0.5625
36	1	10	0.0625	0.625
43	1	11	0.0625	0.6875
45	1	12	0.0625	0.75
47	1	13	0.0625	0.8125
54	1	14	0.0625	0.875
56	1	15	0.0625	0.9375
67	1	16	0.0625	1

Z-score: {1.3724, -0.2901, 1.2339, -0.2901, -0.9135, 2.1344, -0.9135, 0.6104, -1.6755, -0.2901, -0.1515, -0.8442, -0.013, 0.749, -1.1906, 0.4719}
Count items: 16

Calculation of normal distribution

Sorted statistic file: {12, 19, 23, 23, 24, 32, 32, 32, 34, 36, 43, 45, 47, 54, 56, 67}

How to enter data as a frequency table?

Simple. Write data elements (separated by spaces or commas, etc.), then write f: and further write the frequency of each data item. Each element must have a defined frequency that counts numbers before and after symbol f: must be equal. For example:

1.1 2.5 3.99
f: 5 10 15

How to enter grouped data?

Grouped data are formed by aggregating individual data into groups so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.

group	frequency
10-20	5
20-30	10
30-40	15

This grouped data you can enter:
10-20 20-30 30-40
f: 5 10 15

How to enter data as a cumulative frequency table?

Similar to a frequency table, but instead, f: write cf: in the second line. For example:

10 20 30 40 50 60 70 80
cf: 5 13 20 32 60 80 90 100

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always equal the total for all observations since the calculator will have already added all frequencies to the previous total.