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If the ratio of mean and median of a ...

If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

A

4 : 3

B

7 : 6

C

7 : 8

D

5 : 2

Text Solution

Verified by Experts

The correct Answer is:
D
(i) Substitute, median `=(3)/(2)` mean in empirical relation.
(ii) Mode = 3 Median - 2 Mean.
(iii) Express median in terms of mean according to the given data.
(iv) Now write the ratio of the mode and mean using the relation in (i).
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Knowledge Check

  • If the ratio of mean and median of a certain data is 5 : 7, then find the ratio of its mode and mean.

    A
    2 : 5
    B
    11 : 5
    C
    6 : 5
    D
    2 : 3

  • If the ratio of mode and median is 9:7, then find the ratio of mean and mode.

    A
    `2:3`
    B
    `4:5`
    C
    ` 5:9`
    D
    `8:9`

  • The mean mode and median of the given data

    A
    39,15,17,
    B
    15,15,39
    C
    39,15,15
    D
    37,15,15

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