# Statistics calculator

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

## 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 cV=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 :
elementfrequencycumulative frequencyrelative frequencycumulative 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

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

1.1 2.5 3.99
f: 5 10 15

### How to enter a grouped data?

Grouped data are data 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: type 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 be equal to the total for all observations since all frequencies will already have been added to the previous total.