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Find the mean deviation about median for the following data:

Question

Find the mean deviation about median for the following data:
Marks Number of girls
0-10 6
10-20 8
20-30 14
30-40 16
40-50 4
50-60 2

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Find the mean deviation about median for the following data:

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Text solutionVerified

Here,

N = 50

\frac{N}{2} = \frac{50}{2} = 25

Since,

25

occurs in the cumulative frequency

25

So, median class is

20 - 30

Median

M = l + \frac{\frac{N}{2} - C _{f - 1}}{f _{m}} \times h

= 20 + \frac{25 - 14}{14} \times 10

M = 20 + \frac{110}{14} = 27.86

Mean deviation about median

= \frac{\sum f _{i} ∣ x _{i} - M ∣}{\sum f _{i}}

= \frac{517.32}{50}

= 10.35

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Question Text	Find the mean deviation about median for the following data:
Answer Type	Text solution:1
Upvotes	150