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Question

The mid - points of class intervals xi along with respective frequencies fi for recorded observations are given. Calculate the mean deviations about mean ¯¯¯x


A

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B

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C

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D

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Solution

The correct option is A


While calculating the mean of continuous frequency distributions we make assumption that frequency in each class is centered at its midpoint.

In a continuous frequency distribution once the mid points of class intervals are calculated the rest is same as for a discrete frequency distribution.

Total number of observation,N=ni=1fi.

¯x=ni=1fixiN

Mean deviation about mean =ni=1fi|xi¯x|N.


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