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If the mean of 25 observations is 27 and each observation is d

Question

If the mean of $25$ observations is $27$ and each observation is decreased by $7$ , what will be the new mean ?

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Noah Discussed

If the mean of

25

observations is

27

and each observation is decreased by

7

, what will be the new mean ?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Mean of

25

observations

= 27

(given)

Total observations

= 25

Mean

= \frac{S u m o f t h e g i v e n o b ser v a t i o n s}{T o t a l n u mb er o f o b ser v a t i o n s}

27 = \frac{(sum of 25 observations)}{25}

\Rightarrow

sum of

25

observations

= 27 \times 25 = 675

When each observation is decreased by

7

, then

New Sum is

675 - 25 \times 7 = 500

New Mean

= 500/25 = 20

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Question Text	If the mean of $25$ observations is $27$ and each observation is decreased by $7$ , what will be the new mean ?
Answer Type	Text solution:1
Upvotes	153