What is the formula for the mode of grouped data?

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x k + h ⋅ f k − 1 − f 2 f k − f k − 1 − f k + 1

x k + h ⋅ f k − f k − 1 2 f k − f k − 1 − f k + 1

x k + h ⋅ f k − f k − 1 f k − 2 f k − 1 − f k + 1

x k + h ⋅ f k − f k − 1 f k − f k − 1 − 2 f k + 1

answer is B.

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Detailed Solution

The mode is the value that occurs the most often in a data set and the range is the difference between the highest and lowest values in a data set.
We already know that the mode for the grouped data is given as,

M o d e = x k + h × f k − f k − 1 2 f k − f k − 1 − f k + 1

where,

x k =

lower limit of the modal class,

h =

class width,

f k =

frequency of the modal class,

f k − 1 =

frequency of class preceding the modal class and

f k + 1 =

frequency of class succeeding the modal class.
Thus, the correct answer is option 2.

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