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The average of 11 results is 59 and that of the first 10 is 58. The 11th result is?
Question

The average of 11 results is 59 and that of the first 10 is 58. The 11th result is?

A.

59

B.

68

C.

58

D.

69

Correct option is D

Given:
Average of 11 results = 59
Average of the first 10 results = 58
Formula Used:

Average = Sum of valuesNumber of values\frac{\text{Sum of values}}{\text{Number of values}}​​

Sum of the results = Average × Number of results

Solution:
Sum of 11 results = 59×11=64959 \times 11 = 649​​
Sum of first 10 results = 58×10=580 58 \times 10 = 580​​
The 11th result is:
11th result = Sum of 11 results - Sum of first 10 results
11th result = 649 - 580 = 69
Thus, the correct option is (d) 69.


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