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:
{21, 11, 13}


Other statistical characteristics:

Average (mean): μ=15
Absolute Deviation Calculator: 12
Mean Deviation Calculator: 4
Minimum: 11
Maximum: 21
Variance: 18.666666666667
Standard deviation σ=4.3204937989386
Corrected sample standard deviation s=5.2915026221292
Coefficient of Variation Calculator cV=0.35276684147528
Signal-to-Noise Ratio (SNR) Calculator SNR=2.8347335475692
Median: 13
Quartile Q1: 11
Quartile Q2: 13
Quartile Q3: 21
1st decile: 11.8 (Too few data to calculate deciles)
2nd decile: 12.6
3rd decile: 11.4
4th decile: 12.2
5th decile: 13
6th decile: 16.2
7th decile: 19.4
8th decile: 21
9th decile: 21
Interquartile range IQR: 10
Quartile Deviation QD: 5
Coefficient of Quartile Deviation CQD: 0.3125
Lower fence: -4
Upper fence: 36
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 9.2
Mode: {11, 13, 21} - multimodal
Geometric mean: 14.427301600032
Harmonic mean: 13.924265842349
Sum: 45
Sum of squares: 56
Sum of absolute values: 45
Average absolute deviation: 4
Range: 10
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
11 1 1 0.33333333333333 0.33333333333333
13 1 2 0.33333333333333 0.66666666666667
21 1 3 0.33333333333333 1
Z-score: {1.3887, -0.9258, -0.4629}
Count items: 3

Calculation of normal distribution

Sorted statistic file: {11, 13, 21}




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.

groupfrequency
10-205
20-3010
30-4015
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.

Practice problems from statistics:



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