Question

Calculate missing value of arithmetic mean 61.88

X : 64, 63 , ? , 61 , 66 , 59
F : 8 , 18 , 12 , 9 , 7, 6
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Answer 1

Answer:

(59+61+63+64+x+66)/6=61.88~62

313+x=372

x=59

Answer 2

Question of statistics

Let the missing value be x

Arithmetic mean =

$\\ \frac{ \sum{f_{i} x_{i} }}{\sum{f_{i}}}$

So,

Let's find $\sum{f_{i} x_{i}}$

⇒64 ( 8) + 63(18)+12 (x) +61(9)+66(7)+59(6)

⇒ 512 + 1134 + 12x + 549 + 462 + 354

⇒3011 + 12 x

Now find $\sum{ f_{i}}$

⇒8 + 18 + 12 + 9 + 7 + 6

⇒ 60

Given, Arithmetic mean = 61.88

⇒ 3011 + 12x / 60 = 61.88

⇒ 3011 + 12x = 60 ( 61.88)

⇒ 12x = 701.8

⇒ x = 58. 48 ≈ 58.5

Therefore, Missing value is 58. 5.