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Question
The mean of runs scored by a cricket team in the last 10 innings is 276. If the scores are 235, 400, 351, x, 100, 315, 410, 165, 260, 284, then find the runs scored in the fourth innings
Solution
Let the runs scored in the fourth innings be x
Mean runs scored = `"Total runs of all innings"/"Number of inning"`
276 = `(235 + 400 + 351 + x + 100 + 315 + 410 + 165 + 260 + 284)/10`
276 = `(2520 + x)/10`
276 × 10 = 2520 + x
2760 = 2520 + x
x = 2760 – 2520 = 240
∴ Number of runs scored in the fourth innings = 240
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