12. दिए गए विकल्पों में से लुप्त संख्या ज्ञात करें।
36 | 13 31
28 10 24
18 23 ?
|
18 23
?
(A) 32
(B) 27
(C) 36
(D) 20.
Answers
Answer:
36 | 13 31
28 10 24
18 23 ?
|
18 23
?
(A) 32
(B) 27
(C) 36
(D) 20.Solution
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CI f
i
cf Mid−value
x
i
∣x
i
−M∣ f
i
∣x
i
−M∣
7.5−12.5 14 14 10 18.21 254.94
12.5−17.5 8 22 15 13.21 105.68
17.5−22.5 20 42 20 8.21 164.2
22.5−27.5 7 49 25 3.21 22.47
27.5−32.5 11 60 30 1.79 19.69
32.5−37.5 10 70 35 6.79 67.9
37.5−42.5 24 94 40 11.79 282.96
42.5−47.5 6 100 45 16.79 100.74
∑f
i
=100 ∑f
i
∣x
i
−M∣=3243.11
⇒ Here, N=100,
2
N
=
2
100
=50
∴ Median class =22.5−27.5
⇒ L=22.5,cf=42,f=7 and h=27.5−22.5=5
⇒ Median(M)=L+
f
2
N
−cf
×h
=22.5+
7
50−42
×5
=22.5+5.71
=28.21
⇒ Mean deviation about the median =
∑f
i
∑f
i
∣x
i
−M∣
=
100
3243.11
=32.43