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?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 48
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Understanding |
Application |
Calculation |
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First we need to find the mean average of each group. |
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⇒ (40 + 44)/2 = 42 ⇒ (44 + 48)/2 = 46 ⇒ (48 + 52)/2 = 50 ⇒ (52 + 56)/2 = 54 ⇒ (56 + 60)/2 = 58 |
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Now mean batting average per batsman will be calculated |
Mean batting average per batsman = (Total runs by all the batsman)/(Total batsman) = 48 |
⇒ [42 × 12 + 46 × 10 + 50 × 8 + 54 × 6 + 58 × 4]/(12 + 10 + 8 + 6 + 4) ⇒ [504 + 460 + 400 + 324 + 232]/40 ⇒ 1920/40 ⇒ 48 |