Question

calculate the Mean Deviation from the following data from Median.
MARKS. 0-5 5-10 10-15 15-20 20-25 NO OF
STUDENTS 4 7 8 5 6​

Answer 1

Explanation:

Solution

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CI f

i

cf Mid−point

x

i

∣x

i

−M∣ f

i

∣x

i

−M∣

5−10 5 5 7.5 12.5 62.5

10−15 12 17 12.5 7.5 90

15−20 3 20 17.5 2.5 7.5

20−25 11 31 22.5 2.5 27.5

25−30 9 40 27.5 7.5 67.5

∑f

i

=40 ∑fi∣x

i

−M∣=255

⇒ Here,

2

N

=

2

40

=20

∴ Median class =15−20

⇒ So, L=15,cf=17,f=3 and h=20−15=5

⇒ Median(M)=L+

f

2

N

−cf

×h

=15+

3

20−17

×5

=15+5

=20

∴ Median (M)=20

⇒ Mean deviation about the mean =

∑f

i

∑f

i

∣x

i

−M∣

= 40

255

=6.37

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Answer 2

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