Descriptive Statistics
Quotes Welcome Measures of Center Measures of Spread Measures of Position Portfolio

If there is one prayer that you should pray/sing every day and every hour, it is the LORD's prayer (Our FATHER in Heaven prayer)
It is the most powerful prayer. A pure heart, a clean mind, and a clear conscience is necessary for it. - Samuel Dominic Chukwuemeka

Let everything that has breath praise the LORD! Praise the LORD. - Psalm 150:6

The Joy of a Teacher is the Success of his Students. - Samuel Dominic Chukwuemeka

Samuel Dominic Chukwuemeka

Descriptive Statistics Calculators


I greet you this day,
These calculators are for vertical entries of data only
To use the calculators for horizontal data entries, please visit Descriptive Statistics Calculators (Horizontal data entries only)
I wrote the codes for the calculators using JavaScript, a client-side scripting language.
Comments, questions, and constructive criticisms are welcome. You may contact me.
Thank you for visiting.
Samuel Dominic Chukwuemeka (SamDom For Peace)
B.Eng., A.A.T, M.Ed., M.S

Measures of Center

Case 1
Given: Raw Dataset
Sort the Data
To Calculate: Mean, Median, Mode, Midrange
Show all steps


Raw Data Sorted Data
(Ascending Order)










(If the dataset is multimodal or has no mode, click inside and scroll all the way to the end as applicable)









Case 2
Given: Ungrouped Dataset and Frequency
To Calculate: Mean
Show all steps


Ungrouped Data Frequency

Product of each dataset value and the respective frequency









Case 3
Given: Grouped Dataset (Lower Class Limit and Upper Class Limit) and Frequency
To Calculate: Mean
Show all steps


Lower Class Limit Upper Class Limit Frequency

Midpoint
Product of each midpoint and the respective frequency









Case 4
Given: Grouped Dataset (Lower Class Limit and Upper Class Limit), Frequency, and Assumed Mean
To Calculate: Mean
Show all steps


Lower Class Limit Upper Class Limit Frequency


Midpoint
Deviation from Assumed Mean
Product of each frequency and the respective deviation









Case 5
Given: Raw Dataset, Trim Percent
Sort the Data
To Calculate: Trimmed Mean
Show all steps


Raw Data Sorted Data
(Ascending Order)

% from the data


This implies that value(s) is/are trimmed from each end of the sorted data

Trimmed Data









Case 6
Given: Assumed Mean, Deviations from the Assumed Mean
To Calculate: Mean
Find the Dataset
Sort the Dataset
To Calculate: Median, Mode, Midrange
Show all steps




Deviations from the Assumed Mean





Raw Data
Sorted Data




(If the dataset is multimodal or has no mode, click inside and scroll all the way to the end as applicable)









Case 7
Given: Raw Dataset
To Calculate: Geometric Mean
Show all steps


Raw Data






Measures of Spread

Case 1 (First Method)
Given: Raw Dataset
Sort the Data
To Calculate: Range, Variance, Standard Deviation, Coefficient of Variation, Mean Deviation
Show all steps


Raw Data Sorted Data
(Ascending Order)











Deviation from the Mean
Square of the Deviation from the Mean









%

Absolute Deviations from the Mean





................................................................
Population
................................................................







%





Case 2 (First Method)
Given: Ungrouped Dataset and Frequency
To Calculate: Variance, Standard Deviation, Coefficient of Variation, Mean Deviation
Show all steps


Ungrouped Data Frequency

Product of each data value and the respective frequency





Deviation from the Mean
Square of the Deviation from the Mean
Product of the Frequency and the Square of the Deviation from the Mean









%

Absolute Deviations from the Mean
Product of the Frequency and the Absolute Deviations from the Mean





................................................................
Population
................................................................







%





Case 3 (First Method)
Given: Grouped Dataset (Lower Class Limit and Upper Class Limit) and Frequency
To Calculate: Variance, Standard Deviation, Coefficient of Variation, Mean Deviation
Show all steps


Lower Class Limit Upper Class Limit Frequency

Midpoint
Product of each midpoint and the respective frequency





Deviation from the Mean
Square of the Deviation from the Mean
Product of the Frequency and the Square of the Deviation from the Mean









%

Absolute Deviations from the Mean
Product of the Frequency and the Absolute Deviations from the Mean





................................................................
Population
................................................................







%





Case 1 (Second Method)
Given: Raw Dataset
Sort the Data
To Calculate: Range, Variance, Standard Deviation, Coefficient of Variation
Show all steps


Raw Data Sorted Data
(Ascending Order)





Square of each data value





















................................................................
Population
................................................................









Case 2 (Second Method)
Given: Ungrouped Dataset and Frequency
To Calculate: Variance, Standard Deviation
Show all steps


Ungrouped Data Frequency

Product of each data value and the respective frequency
Square of each data value
Product of the: Frequency and the Square of each data value





















................................................................
Population
................................................................









Case 3 (Second Method)
Given: Grouped Dataset (Lower Class Limit and Upper Class Limit) and Frequency
To Calculate: Variance, Standard Deviation
Show all steps


Lower Class Limit Upper Class Limit Frequency

Midpoint
Product of each midpoint and the respective frequency
Square of each midpoint value
Product of the: Frequency and the Square of each midpoint value





















................................................................
Population
................................................................









Range Rule of Thumb

Case 4
Given: Minimum, Maximum
To Calculate: Range, Standard Deviation (estimated)








Case 5
Given: Range
To Calculate: Standard Deviation (estimated)








Case 6
Given: Assumed Mean, Deviations from the Assumed Mean
To Calculate: Variance, Standard Deviation, Coefficient of Variation
Find the Dataset
Sort the Dataset
To Calculate: Range
Show all steps




Deviations from the Assumed Mean













%

Raw Data
Sorted Data







................................................................
Population
................................................................







%

Measures of Position

Case 1
Given: Raw Dataset
Sort the Data
To Calculate: Five- Number Summary of Dataset, Interquartile Range, Semi-interquartile Range, Midquartile, Lower Fence, Upper Fence, Outliers


Raw Data Sorted Data
(Ascending Order)



























Percentiles (Convert a Data Value to a Percentile)

Case 2
Given: Raw Dataset
Sort the Data
To Calculate: Percentile of a Data Value
Show all steps


Raw Data Sorted Data
(Ascending Order)


The data values less than are:

The count of those values is:



th percentile





Percentiles (Convert a Percentile to a Data Value)

Case 3
Given: Raw Dataset
Sort the Data
To Calculate: the nth Percentile
Show all steps


Raw Data Sorted Data
(Ascending Order)

th percentile





If it is not an integer, round up to the next integer and read the value
If it is an integer, read the values at this position and next position, and find the mean.











Case 4
Given: Variable, Mean, Standard Deviation
To Calculate: Standard Score; tell whether a data value is usual or unusual










standard deviations



Case 5
Given: Mean, Standard Deviation
To Calculate: the boundaries of usual and unusual data values