Average of 11 scores is 10.5. If one score 9 is deleted, then the average of the remaining scores is ………
Average of 11 scores is 10.5. If one score 9 is deleted, then the average of the remaining scores is ………
A) 10.16
B) 10.06
C) 10.65
D) 13.6
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2 Answers
Correct option is: C) 10.65
Given average of 11 scores is 10.5.
\(\therefore\) Sum of these 11 scores = \(n\overline x\) = 11 \(\times\) 10.5 = 115.5
After one score 9 is deleted,
Total No of score left is \(n_1\) = 10
And sum of these 10 scores = Sum of 11 scores - Deleted score.
= 115.5 - 9
= 106.5
\(\therefore\) Average of the remaining scores
= \(\frac {sum\, of\, remaining\, scores}{10}\)
= \(\frac {106.5}{10} = 10.65\)
Hence, the average of the remaining scores is 10.65.
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