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.

17 65 117 206 172 181 221 94

Recalculate  

Calculation:

Statistical file:
{17, 65, 117, 206, 172, 181, 221, 94}


Average (mean): μ=134.125
Absolute deviation: 487
Mean deviation: 60.875
Minimum: 17
Maximum: 221
Variance: 4593.109375
Standard deviation σ=67.772482432031
Corrected sample standard deviation s=72.451831289091
Coefficient of variation c_V=0.54018140756079
Signal-to-noise ratio SNR=1.8512299497969
Median: 144.5
Quartile Q1: 72.25
Quartile Q2: 144.5
Quartile Q3: 199.75
1st decile: 15.3 (Too few data to calculate deciles)
2nd decile: 55.4
3rd decile: 85.3
4th decile: 107.8
5th decile: 144.5
6th decile: 175.6
7th decile: 188.5
8th decile: 209
9th decile: 198.9
Interquartile range IQR: 127.5
Quartile Deviation QD: 63.75
Coefficient of Quartile Deviation CQD: 0.46875
Lower fence: -119
Upper fence: 391
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 183.6
Mode: {17, 65, 94, 117, 172, 181, 206, 221} - multimodal
Geometric mean: 107.03302842239
Harmonic mean: 70.106855401408
Sum: 1073
Sum of squares: 36744.875
Sum of absolute values: 1073
Average absolute deviation: 60.875
Range: 204
Frequency table :

element	frequency	cumulative frequency	relative frequency	cumulative relative frequency
17	1	1	0.125	0.125
65	1	2	0.125	0.25
94	1	3	0.125	0.375
117	1	4	0.125	0.5
172	1	5	0.125	0.625
181	1	6	0.125	0.75
206	1	7	0.125	0.875
221	1	8	0.125	1

Z-score: {-1.7282, -1.02, -0.2527, 1.0605, 0.5589, 0.6917, 1.2819, -0.5921}
Count items: 8

Calculation of normal distribution

Sorted statistic file: {17, 65, 94, 117, 172, 181, 206, 221}

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.