The data below shows the number of batsmen having different batting averages. Average Number of batsmen 40 – 44 12 44 – 48 10 48 – 52 8 52 – 56 6 56 – 60 4 What is the mean batting average per batsman?

SSC MTS 6 Aug 2019 Shift 3 Paper

Question : 47 of 100

Marks: +1, -0

The data below shows the number of batsmen having different batting averages.

Average	Number of batsmen
40 – 44	12
44 – 48	10
48 – 52	8
52 – 56	6
56 – 60	4

What is the mean batting average per batsman?

Validate

Solution:

Middle term of average × Number of batsmen = [(40 + 44)/2] × 12 = 504
⇒ Middle term of average × Number of batsmen = [(44 + 48)/2] × 10 = 460
⇒ Middle term of average × Number of batsmen = [(48 + 52)/2] × 8 = 400
⇒ Middle term of average × Number of batsmen = [(52 + 56)/2] × 6 = 324
⇒ Middle term of average × Number of batsmen = [(56 + 60)/2] × 4 = 232
⇒ Mean =

{504+460+400+324+232}/{12+10+8+6+4}=1920/40=48

∴ The mean batting average per batsman is 48.

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