the mean of 1, 7, 5, 3, 4 and 4 is m. the mean of 3, 2, 4, 2, 3, 3 and P is (m-1) and the median Q. find the value of P and Q
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data set = 1,7,5,3,4,4
mean is m = 1+7+5+3+4+4 ÷ 6
= 24÷6
= 4
mean of (m-1 ) = 3+2+4+2+3+3+p ÷ 7
4-1 = (17 +p ) ÷7
3 × 7 = 17 + p
21 = 17 + p
21-17= p
4 = p
to find the median of Q , arrange the no.'s in ascending order :-
2,2,3,3,3,4,4 ( odd observation)
∴ {(n+1) / 2} th obs. = (7+1 )/2
= 8/2
= 4th obs.
∵ "3" is the 4th obs.
∵∴ m=4 ; p=4 ; Q=3
hope the answer was helpful.........
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Fida03:
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