The average of 29 scores is 50. The average of the first 14 scores in 52 and that of the last 14 scores is 49. Then what is the 15th scores?
Answer: 36
Explanation
The average of 29 scores is 50, so the total sum of all scores is:
29 x 50 = 1450
The average of the first 14 scores is 52, so the total sum of the first 14 scores is:
14 x 52 = 728
The average of the last 14 scores is 49, so the total sum of the last 14 scores is:
14 x 49 = 686
Now, let's add the sum of the first 14 scores and the last 14 scores:
728 + 686 = 1414
Since the total sum of all scores is 1450, the 15th score can be found by subtracting the sum of the first 14 and last 14 scores from the total sum:
1450 - 1414 = 36
So, the correct answer is: 36
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