The mean mass of 10 numbers is 14 Three of the numbers have a mass of 4 Find
The sum of the remaining seven numbers
And the value of n
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the value of m
Answer :-
i) Sum of remaining 7 numbers is 128
ii) Value of m is 21
Explanation :-
i)
Mean of 10 numbers = 14
Number of observations = 10
We know that
Mean = Sum of observations/Number of observations
So Sum of 10 numbers = Mean * Number of observations = 14 * 10 = 140
Mean of three numbers = 4
Number of observations = 3
So sum of 3 numbers = Mean * Number of observations = 4 * 3 = 12
Sum of remaining 7 numbers = Sum of 10 numbers - Sum of 3 numbers = 140 - 12 = 128
ii)
Given
Remaining 7 numbers are 15, 18, 5, m, 34, 14
Sum of remaining 7 numbers = 128
⇒ 15 + 18 + 5 + m + 34 + 14 + 21 = 128
⇒ 107 + m = 128
⇒ m = 128 - 107
⇒ m = 21
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