Grouped Data Standard Deviation

Calculate mean, variance, and standard deviation for grouped frequency data.

Grouped Data

Classes & Frequencies

Format: Start-End, Frequency or Midpoint, Frequency

Statistical Analysis

Mean18.2143

Standard Deviation (s)9.0487Sample

Variance (s²)81.8783

Total Frequency (N)28

About this calculator

Overview

When data is grouped into classes, we use the class midpoints to estimate the mean and standard deviation of the population or sample.

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Pro Tips

Enter data as 'Start-End, Frequency' (e.g. 10-20, 5) or 'Midpoint, Frequency' (e.g. 15, 5).
One class per line.

Fun Facts

"This method assumes data points are evenly distributed within each class."
"The result is an estimation, as the exact values of individual data points are unknown."