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:
{1375, 2, 3, 5}


Other statistical characteristics:

Average (mean): μ=346.25
Absolute Deviation Calculator: 2057.5
Mean Deviation Calculator: 514.375
Minimum: 2
Maximum: 1375
Variance: 352776.6875
Standard deviation σ=593.95007155484
Corrected sample standard deviation s=685.83446739477
Coefficient of Variation Calculator cV=1.980749364317
Signal-to-Noise Ratio (SNR) Calculator SNR=0.50485943250312
Median: 4
Quartile Q1: 2.25
Quartile Q2: 4
Quartile Q3: 1032.5
1st decile: 2.5 (Too few data to calculate deciles)
2nd decile: 2
3rd decile: 2.5
4th decile: 3
5th decile: 4
6th decile: 5
7th decile: 690
8th decile: 1375
9th decile: 1375
Interquartile range IQR: 1030.25
Quartile Deviation QD: 515.125
Coefficient of Quartile Deviation CQD: 0.99565112345977
Lower fence: -1543.125
Upper fence: 2577.875
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 1372.5
Mode: {2, 3, 5, 1375} - multimodal
Geometric mean: 14.251349413859
Harmonic mean: 3.8682452233032
Sum: 1385
Sum of squares: 1411106.75
Sum of absolute values: 1385
Average absolute deviation: 514.375
Range: 1373
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
2 1 1 0.25 0.25
3 1 2 0.25 0.5
5 1 3 0.25 0.75
1375 1 4 0.25 1
Z-score: {1.732, -0.5796, -0.5779, -0.5745}
Count items: 4

Calculation of normal distribution

Sorted statistic file: {2, 3, 5, 1375}




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 »