A set of data presented in the form of a frequency distribution table with class intervals and their respective frequencies had a mode of 48.5. The lower boundary of the modal class was 46.5; the frequency of the modal class was 34; the frequency of the class interval just preceding the modal class was 32 and the frequency of the class interval just succeeding the modal class was 25. What was the width of the modal class?
11
The formula to calculate the width of the modal class is: \[ \text{Width} = \frac{\text{Modal class frequency} - \text{Preceding frequency}}{\text{Modal class frequency} - \text{Succeeding frequency}} \] Substituting the given values: \[ \frac{34 - 32}{34 - 25} = 11 \]
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