15. (a) Find mean deviation about mean :
15, 17, 22, 27, 30, 29, 35
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1
Answer:
Here N=29 (odd)
Median =(
2
N+1
)
th
observation
i.e. M=(
2
29+1
)
th
observation
⇒M=15
th
observation
Since, 15 occurs in the cumulative frequency 21. The corresponding observation is 30.
Hence, M=30
Mean deviation about median =
∑f
i
∑f
i
∣x
i
−M∣
=
29
148
=5.1
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