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:
{50, 300, 12000}


Other statistical characteristics:

Average (mean): μ=4116.6666666667
Absolute Deviation Calculator: 15766.666666667
Mean Deviation Calculator: 5255.5555555556
Minimum: 50
Maximum: 12000
Variance: 31083888.888889
Standard deviation σ=5575.2927177763
Corrected sample standard deviation s=6828.3111626033
Coefficient of Variation Calculator cV=1.6586990678389
Signal-to-Noise Ratio (SNR) Calculator SNR=0.60288211369342
Median: 300
Quartile Q1: 50
Quartile Q2: 300
Quartile Q3: 12000
1st decile: 150 (Too few data to calculate deciles)
2nd decile: 250
3rd decile: 100
4th decile: 200
5th decile: 300
6th decile: 4980
7th decile: 9660
8th decile: 12000
9th decile: 12000
Interquartile range IQR: 11950
Quartile Deviation QD: 5975
Coefficient of Quartile Deviation CQD: 0.99170124481328
Lower fence: -17875
Upper fence: 29925
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 11850
Mode: {50, 300, 12000} - multimodal
Geometric mean: 564.62161732862
Harmonic mean: 128.11387900356
Sum: 12350
Sum of squares: 93251666.666667
Sum of absolute values: 12350
Average absolute deviation: 5255.5555555556
Range: 11950
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
50 1 1 0.33333333333333 0.33333333333333
300 1 2 0.33333333333333 0.66666666666667
12000 1 3 0.33333333333333 1
Z-score: {-0.7294, -0.6846, 1.414}
Count items: 3

Calculation of normal distribution

Sorted statistic file: {50, 300, 12000}




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 »