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:
{35, 165, +310, 8530}


Other statistical characteristics:

Average (mean): μ=2260
Absolute Deviation Calculator: 12540
Mean Deviation Calculator: 3135
Minimum: 35
Maximum: 8530
Variance: 13113762.5
Standard deviation σ=3621.2929320893
Corrected sample standard deviation s=4181.5088983125
Coefficient of Variation Calculator cV=1.8502251762445
Signal-to-Noise Ratio (SNR) Calculator SNR=0.54047475563475
Median: 237.5
Quartile Q1: 67.5
Quartile Q2: 237.5
Quartile Q3: 6475
1st decile: 100 (Too few data to calculate deciles)
2nd decile: 35
3rd decile: 100
4th decile: 165
5th decile: 237.5
6th decile: 310
7th decile: 4420
8th decile: 8530
9th decile: 8530
Interquartile range IQR: 6407.5
Quartile Deviation QD: 3203.75
Coefficient of Quartile Deviation CQD: 0.97936568589989
Lower fence: -9543.75
Upper fence: 16086.25
Set of outliers: {} - empty set - no outliers found
Interdecile range IDR: 8430
Mode: {35, 165, +310, 8530} - multimodal
Geometric mean: 351.53265835851
Harmonic mean: 105.33224925894
Sum: 9040
Sum of squares: 52455050
Sum of absolute values: 9040
Average absolute deviation: 3135
Range: 8495
Frequency Table Calculator:
elementfrequencycumulative frequencyrelative frequencycumulative relative frequency
35 1 1 0.25 0.25
165 1 2 0.25 0.5
+310 1 3 0.25 0.75
8530 1 4 0.25 1
Z-score: {-0.6144, -0.5785, -0.5385, 1.7314}
Count items: 4

Calculation of normal distribution

Sorted statistic file: {35, 165, +310, 8530}




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 »