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:
{-9, 87}

Other statistical characteristics:

Average (mean): μ=39
Absolute Deviation Calculator: 96
Mean Deviation Calculator: 48
Minimum: -9
Maximum: 87
Variance: 2304
Standard deviation σ=48
Corrected sample standard deviation s=67.882250993909
Coefficient of Variation Calculator c_V=1.7405705383053
Signal-to-Noise Ratio (SNR) Calculator SNR=0.57452425971407
Median: 39
Quartile Q1: 63
Quartile Q2: 39
Quartile Q3: 87
1st decile: 19.8 (Too few data to calculate deciles)
2nd decile: 48.6
3rd decile: 77.4
4th decile: 10.2
5th decile: 39
6th decile: 67.8
7th decile: 87
8th decile: 87
9th decile: 87
Interquartile range IQR: 24
Quartile Deviation QD: 12
Coefficient of Quartile Deviation CQD: 0.16
Lower fence: 27
Upper fence: 123
Set of outliers: {-9}
Interdecile range IDR: 67.2
Mode: {-9, 87} - multimodal
Geometric mean: N/A
Harmonic mean: -20.076923076923
Sum: 78
Sum of squares: 4608
Sum of absolute values: 96
Average absolute deviation: 48
Range: 96
Frequency Table Calculator:

element	frequency	cumulative frequency	relative frequency	cumulative relative frequency
-9	1	1	0.5	0.5
87	1	2	0.5	1

Z-score: {-1, 1}
Count items: 2

Calculation of normal distribution

Sorted statistic file: {-9, 87}

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.