The Mean Of 16 Items Was Found To Be 30. On Rechecking, It Was Found

1.	The Mean Of 16 Items Was Found To Be 30. On Rechecking, It Was Found That Two Items Were Wrongly Taken As 22 And 18 Instead Of 32 And 28 Respectively. Find The Correct Mean?
Answer» CALCULATED mean of 16 items = 30. INCORRECT sum of these 16 items = (30 × 16) = 480. CORRECT sum of these 16 items = (incorrect sum) - (sum of incorrect items) + (sum of ACTUAL items) = [480 - (22 + 18) + (32 + 28)] = 500. Therefore, correct mean = 500/16 = 31.25. Hence, the correct mean is 31.25. Calculated mean of 16 items = 30. Incorrect sum of these 16 items = (30 × 16) = 480. Correct sum of these 16 items = (incorrect sum) - (sum of incorrect items) + (sum of actual items) = [480 - (22 + 18) + (32 + 28)] = 500. Therefore, correct mean = 500/16 = 31.25. Hence, the correct mean is 31.25.

The Mean Of 16 Items Was Found To Be 30. On Rechecking, It Was Found That Two Items Were Wrongly Taken As 22 And 18 Instead Of 32 And 28 Respectively. Find The Correct Mean?

Answer»

CALCULATED mean of 16 items = 30.

INCORRECT sum of these 16 items = (30 × 16) = 480.

CORRECT sum of these 16 items

= (incorrect sum) - (sum of incorrect items) + (sum of ACTUAL items)

= [480 - (22 + 18) + (32 + 28)]

= 500.

Therefore, correct mean = 500/16 = 31.25.

Hence, the correct mean is 31.25.

Calculated mean of 16 items = 30.

Incorrect sum of these 16 items = (30 × 16) = 480.

Correct sum of these 16 items

= (incorrect sum) - (sum of incorrect items) + (sum of actual items)

= [480 - (22 + 18) + (32 + 28)]

= 500.

Therefore, correct mean = 500/16 = 31.25.

Hence, the correct mean is 31.25.