ExplanationWhen the average of 100 measurements is 23, find the sum:

sum of 100 numbers/100 = 23 or sum of 100 numbers = 2300.

When the average of 50 measurements is 27, find the sum:

sum of 50 numbers/50 = 27 or sum of 50 numbers = \(50 \times 27\)=1350.

Total of 150 numbers = \(2300 + 1350\)= \(3650\).

Average of 150 number =\(\frac{3650}{150}\)=\(24.55\).

Clearly quantity B is greater.

Hence option B is correct.
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Sandy

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