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If f0 = f2 (the classes on either side of the modal class have equal frequency), the mode lies:

Class 10Mode of Grouped DataStatistics and Probability

AAt the mid-point of the modal class
BAt the lower limit of the modal class
CAt the upper limit of the modal class
DOutside the modal class

Step-by-Step Solution

If

f 0 = f 2

, then

\frac{f 1 - f 0}{2 f 1 - f 0 - f 2} = \frac{f 1 - f 0}{2 ( f 1 - f 0 )} = \frac{1}{2}

, so Mode =

l + \frac{h}{2}

, the mid-point of the modal class.

Answer: A) At the mid-point of the modal class

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