the mean of 1,3,4,4,5,7 is x and that of 3,2,4,2,3,3,y is (x-1) whereas medians of the second group is z . find the mean of y and z
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Answer:
(i) Mean of 1,7,5,3,4,4 is m.
Here n=6
Mean, m=(1+7+5+3+4+4)/6
m=24/6
m=4
Given the numbers 3,2,4,2,3,3,p have mean m−1.
So m−1=(3+2+4+2+3+3+p)/7
4−1=(17+p)/7
3=(17+p)/7
3×7=17+p
21=17+p
p=21−17
p=4
Hence the value of p is 4.
(ii) Given the numbers have median q.
Arranging them in ascending order
2,2,3,3,3,4,4
Here n=7 which is odd
So median=((n+1)/2)
th
term
q=((7+1)/2)
th
term
q=(8/2)
th
term
q=4
th
term
q=3
So value of q is 3.
(iii) mean of p and q=(p+q)/2
=(4+3)/2
=7/2
=3.5
Hence the mean of p and q is 3.5
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