Frequency Distribution with Decimals
Frequency Distribution with Decimals
Here's an example showing how to set up a frequency distribution when the data include decimals:
|19.55 |
|20.75 |
|21.28 |
|22.02 |
|22.51 |
|22.55 |
|23.75 |
|24.03 |
|24.24 |
|25.17 |
|25.19 |
|25.7 |
|25.91 |
|26.13 |
|26.13 |
|26.32 |
|26.33 |
|27.01 |
|27.13 |
|27.55 |
|27.57 |
|27.79 |
|28.17 |
|30.46. |
|30.91 |
These values were each obtained by taking the average of 25 values randomly chosen between 0 and 50 (i.e., 625 random numbers were used).
Divide the range by the number of classes (let's use 5 in this case):
(30.91 – 19.55) / 5 = 2.272
So the class width is 2.28 (round up to the next value, in hundredths).
Here's the frequency distribution. I have also included the class boundaries, needed for the histogram, and the midpoints. The boundaries and midpoints should not be rounded off. These midpoints work out to a value in the hundredths; sometimes you need thousandths.
|Class Limits |Frequency |Class Boundaries |Midpoint |
|19.55–21.82 |3 |19.545–21.825 |20.685 |
|21.83–24.10 |5 |21.825–24.105 |22.965 |
|24.11–26.38 |9 |24.105–26.385 |25.245 |
|26.39–28.66 |6 |26.385–28.665 |27.525 |
|28.67–30.94 |2 |28.665–30.945 |29.805 |
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