Frequency Polygon Calculator

Your details

How many class intervals your grouped data has (3 to 8).
The midpoint (class mark) of the first class interval.
How many data points fall in the first class interval.
Mean
34.5

Weighted mean of the distribution (sum of midpoint x frequency, divided by total frequency)

Median class midpoint35
Modal class midpoint35
Standard deviation11.1692
Variance124.75
Total frequency (N)40
Mean34.5
Median class35
Modal class35

Grouped mean is 34.50, modal class midpoint is 35.00.

  • The mean and median are close together, which suggests the distribution is roughly symmetric.
  • The coefficient of variation is 32.4%, indicating high relative spread around the mean.
  • The distribution is based on a total of 40 observations across the entered classes.

Next stepTo draw the frequency polygon, plot each midpoint on the horizontal axis against its frequency on the vertical axis, then connect the points with straight lines. Anchor both ends at zero by adding a class with zero frequency just before the first class and just after the last.

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