English, asked by nandhini3713, 5 months ago

if mean of 29 onder various is 33 and on adding one more international the new mean becomes 34.what is the value of the 30th observation

Answers

Answered by RvChaudharY50
5

Given :- if mean of 29 observations is 33 and on adding one more observation the new mean becomes 34. what is the value of the 30th observation ?

Solution :-

given that, mean of 29 observations is 33 .

So,

mean = (sum of observations) / (total number of observation)

→ 33 = (sum of observations) / 29

→ sum of observations = 33 * 29 = 957 .

now, let us assume that, the new observation added is x .

Than,

→ sum of 30 observations = sum of 29 observations + new added observation = (957 + x) .

given that, new mean becomes 34.

Therefore,

mean = (sum of observations) / (total number of observation)

→ 34 = (957 + x) / 30

→ 34 * 30 = 957 + x

→ x + 957 = 1020

→ x = 1020 - 957

→ x = 63 . (Ans.)

Hence, the value of the 30th observation is 63..

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Answered by Anonymous
2

Given :- if mean of 29 observations is 33 and on adding one more observation the new mean becomes 34. what is the value of the 30th observation ?

Solution :-

given that, mean of 29 observations is 33 .

So,

→ mean = (sum of observations) / (total number of observation)

→ 33 = (sum of observations) / 29

→ sum of observations = 33 * 29 = 957 .

now, let us assume that, the new observation added is x .

Than,

→ sum of 30 observations = sum of 29 observations + new added observation = (957 + x) .

given that, new mean becomes 34.

Therefore,

→ mean = (sum of observations) / (total number of observation)

→ 34 = (957 + x) / 30

→ 34 * 30 = 957 + x

→ x + 957 = 1020

→ x = 1020 - 957

→ x = 63 . (Ans.)

Hence, the value of the 30th observation is 63..

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