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:
{100, 0.40, 0.60, 0.50}


Other statistical characteristics:

Average (mean): μ=25.375
Absolute Deviation Calculator: 149.25
Mean Deviation Calculator: 37.3125
Minimum: 0.40
Maximum: 100
Variance: 1856.301875
Standard deviation σ=43.084821863389
Corrected sample standard deviation s=49.75006700163
Coefficient of Variation Calculator cV=1.9605937734632
Signal-to-Noise Ratio (SNR) Calculator SNR=0.51004956433865
Median: 0.55
Quartile Q1: 0.425
Quartile Q2: 0.55
Quartile Q3: 75.15
1st decile: 0.45 (Too few data to calculate deciles)
2nd decile: 0.4
3rd decile: 0.45
4th decile: 0.5
5th decile: 0.55
6th decile: 0.6
7th decile: 50.3
8th decile: 100
9th decile: 100
Interquartile range IQR: 74.725
Quartile Deviation QD: 37.3625
Coefficient of Quartile Deviation CQD: 0.98875289447569
Lower fence: -111.6625
Upper fence: 187.2375
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 99.55
Mode: {0.40, 0.50, 0.60, 100} - multimodal
Geometric mean: 1.8612097182042
Harmonic mean: 0.64759848893686
Sum: 101.5
Sum of squares: 7425.2075
Sum of absolute values: 101.5
Average absolute deviation: 37.3125
Range: 99.6
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
0.40 1 1 0.25 0.25
0.50 1 2 0.25 0.5
0.60 1 3 0.25 0.75
100 1 4 0.25 1
Z-score: {1.732, -0.5797, -0.575, -0.5773}
Count items: 4

Calculation of normal distribution

Sorted statistic file: {0.40, 0.50, 0.60, 100}




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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