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Question -

The arithmetic mean of the following data is 25, find the value of k. (C.B.S.E. 2001)

X

5

15

25

35

45

f

3

k

3

6

2



Answer -

Mean =25
 
⇒ 25 (14 + k) = 390 + 15k
⇒ 350 + 25k= 390 + 15k
⇒ 25k- 15k = 390 -350
⇒ 10k = 40 ⇒ k = 40/10 = 4
Hence k = 4

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