Madhya Pradesh Police Exam Model Paper 10

Question : 42 of 100

Marks: +1, -0

Average of 26, 37, a, 48, b, 23 is 32, then relation between a and b is?

b = a – 58
a = b – 58
a + b = –58
a = 58 – b

Solution:

Given:
The 6 observations are 26, 37, a, 48, b, 23
Average = 32
Formula used:
Average = Sum of all observations/Total number of observations
Calculation:
Average

= 32 = (26 + 37 + a + 48 + b + 23){/}6

⇒ 32 × 6 = 134 + a + b

⇒ a + b = 192 – 134 = 58

⇒ a + b = 58

∴ a = 58 – b

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