In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 282 runs?
Correct answer: A. 6.25
- A. 6.25
- B. 6.5
- C. 6.75
- D. 7
Explanation
The first 10 overs produced 10 x 3.2 = 32 runs. The remaining runs required are 282 - 32 = 250 runs, and over the remaining 40 overs the required rate is 250 / 40 = 6.25 runs per over. A student may choose 6.5 by using the target rate over all 50 overs without subtracting the runs already scored.
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An average represents the total of a set of values divided by the number of values, and a weighted average gives different importance to different groups. Problems involve missing values, combined averages, replacement of observations, and changes in the average, so the total and count must be tracked separately.
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