the mean of a certain distribution is 16.5 and its mode 15.45 find median.
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Answered by
1
Answer:
Step-by-step explanation:
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Answered by
1
Answer:
We prepare the table as above.
Here, ∑f
i
=72+p+q.
But, ∑f
i
=100 (given).
∴ 72+p+q=100
p+q=28
Also, mean =
∑f
i
∑f
i
x
i
=
72+p+q
1160+15p+25q
=
72+(p+q)
1160+15(p+q)+10q
=
72+28
1160+15×28+10q
=
100
1580+10q
But mean = 16.6 (given)
∴
100
1580+10q
=16.6
1580+10q=1660
10q=80
q=8
p+q=28
p=28−q=28−8=20
Hence, p=20 and q=8
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