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:
{4, +4, 20}


Other statistical characteristics:

Average (mean): μ=9.3333333333333
Absolute Deviation Calculator: 21.333333333333
Mean Deviation Calculator: 7.1111111111111
Minimum: 4
Maximum: 20
Variance: 56.888888888889
Standard deviation σ=7.5424723326565
Corrected sample standard deviation s=9.237604307034
Coefficient of Variation Calculator cV=0.98974331861079
Signal-to-Noise Ratio (SNR) Calculator SNR=1.0103629710818
Median: 4
Quartile Q1: 4
Quartile Q2: 4
Quartile Q3: 20
1st decile: 4 (Too few data to calculate deciles)
2nd decile: 4
3rd decile: 4
4th decile: 4
5th decile: 4
6th decile: 10.4
7th decile: 16.8
8th decile: 20
9th decile: 20
Interquartile range IQR: 16
Quartile Deviation QD: 8
Coefficient of Quartile Deviation CQD: 0.66666666666667
Lower fence: -20
Upper fence: 44
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 16
Mode: {4, +4, 20} - multimodal
Geometric mean: 6.8399037867068
Harmonic mean: 5.4545454545455
Sum: 28
Sum of squares: 170.66666666667
Sum of absolute values: 28
Average absolute deviation: 7.1111111111111
Range: 16
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
4 1 1 0.33333333333333 0.33333333333333
+4 1 2 0.33333333333333 0.66666666666667
20 1 3 0.33333333333333 1
Z-score: {-0.7071, -0.7071, 1.4142}
Count items: 3

Calculation of normal distribution

Sorted statistic file: {4, +4, 20}




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:



more math problems »