Equations

For equations calculation, please enter numerical data separated with a comma (or space, tab, semicolon, or newline). For example: 10 20 30 40 50 60 70 80 90 100

Calculation:

Statistical file:
{6, 8, 1, 2, 6, 8, 10}

Other statistical characteristics:

Average (mean): μ=5.8571428571429
Absolute Deviation Calculator: 17.428571428571
Mean Deviation Calculator: 2.4897959183673
Minimum: 1
Maximum: 10
Variance: 9.265306122449
Standard deviation σ=3.0438965360946
Corrected sample standard deviation s=3.2877840272019
Coefficient of Variation Calculator c_V=0.56132898025398
Signal-to-Noise Ratio (SNR) Calculator SNR=1.7814864993208
Median: 6
Quartile Q1: 2
Quartile Q2: 6
Quartile Q3: 8
1st decile: 1.8 (Too few data to calculate deciles)
2nd decile: 1.6
3rd decile: 3.6
4th decile: 6
5th decile: 6
6th decile: 7.6
7th decile: 8
8th decile: 8.8
9th decile: 10
Interquartile range IQR: 6
Quartile Deviation QD: 3
Coefficient of Quartile Deviation CQD: 0.6
Lower fence: -7
Upper fence: 17
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 8.2
Mode: {6, 8} - multimodal
Geometric mean: 4.6367754802426
Harmonic mean: 3.206106870229
Sum: 41
Sum of squares: 64.857142857143
Sum of absolute values: 41
Average absolute deviation: 2.4897959183673
Range: 9
Frequency Table Calculator:

element	frequency	cumulative frequency	relative frequency	cumulative relative frequency
1	1	1	0.14285714285714	0.14285714285714
2	1	2	0.14285714285714	0.28571428571429
6	2	4	0.28571428571429	0.57142857142857
8	2	6	0.28571428571429	0.85714285714286
10	1	7	0.14285714285714	1

Z-score: {0.0469, 0.704, -1.5957, -1.2672, 0.0469, 0.704, 1.361}
Count items: 7

Calculation of normal distribution

Sorted statistic file: {1, 2, 6, 6, 8, 8, 10}

How do you 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 the 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 can be entered as:
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.