Mean of twenty observations is 15. If two observations 3 and 14 are replaced by 8 and 9 respectively, then the new mean will bea)14b)15c)16d)17Correct answer is option 'B'. Can you explain this answer?

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Mean of twenty observations is 15. If two observations 3 and 14 are replaced by 8 and 9 respectively, then the new mean will be

a)
14
b)
15
c)
16
d)
17

Correct answer is option 'B'. Can you explain this answer?

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Mean of twenty observations is 15. If two observations 3 and 14 are re...

Mean of 20 observations =15
∴ Sum of 20 observations =15×20=300
Replacing 3 and 14 by 8 and 9 will mean that 3+14=17 is replaced by 8+9=17.
Hence there will be no effect on the sum. It will still remain 300, so the mean will not change and will remain 15.

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Mean of twenty observations is 15. If two observations 3 and 14 are replaced by 8 and 9 respectively, then the new mean will bea)14b)15c)16d)17Correct answer is option 'B'. Can you explain this answer?

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