Calculate the mean deviation about mean for the following data- begin array - c - c - WhineClass - Frequencyll Whine0-100 - 16 Wline 100-200 - 11 1Wline200-300 - 7 Whine 300-400 - 10 1Whine400-500 - 6 Whine array A- 108-24B- 132-9C- 110-48D- 126-64

The correct option is D 126.64[ Class amp; X amp; F amp;FX; 0 100 amp; 50 amp; 16 amp; 80 ...

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Standard XI

Statistics

Mean Deviation from Mean for Continuous Series

Calculate the...

Question

Calculate the mean deviation about mean for the following data.

$\begin{matrix} C l a s s & F r e q u e n c y 0 - 100 & 16 100 - 200 & 11 200 - 300 & 7 300 - 400 & 10 400 - 500 & 6 \end{matrix}$

108.24

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110.48

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126.64

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132.9

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Solution

The correct option is C 126.64
$\begin{matrix} C l a s s & X & F & F X 0 - 100 & 50 & 16 & 800 100 - 20 & 150 & 11 & 1650 20 - 30 & 250 & 7 & 1750 30 - 40 & 350 & 10 & 3500 40 - 50 & 450 & 6 & 2700 \sum F = 50 & \sum F X = 10400 \end{matrix}$

$M e a n = \frac{\sum F X}{\sum F} = \frac{10400}{50} = 208$

Deviations from the mean are tabulated below

$\begin{matrix} X (c l a s s m i d p o i n t) & F & D = | X - ¯ x | & F D 50 & 16 & 158 & 2528 150 & 11 & 58 & 638 250 & 7 & 42 & 294 350 & 10 & 142 & 1420 450 & 6 & 242 & 1452 \sum F = 50 & \sum F D = 6332 \end{matrix}$

$M . D (¯ x) = \frac{6332}{50} = 126.64$

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Calculate the mean deviation about mean for the following data.

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