Question
The average of 40 numbers was calculated to be 52.
Later, it was found that two numbers had been taken wrongly as 43 and 57 instead of 63 and 47 respectively. What is the correct average?Solution
ATQ, Original (wrong) average = 52 So wrong total sum = 52 × 40 = 2,080 Wrong numbers used: 43 and 57 Correct numbers: 63 and 47 Correct sum = 2,080 − (43 + 57) + (63 + 47) = 2,080 − 100 + 110 = 2,090 Correct average = 2,090 / 40 = 52.25
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