Question

If the ratio of mode and median of a certain data is 6 : 5, then find the ratio of its mean and median.

Answer 1

The ratio of its mean and median is 9 : 10

Solution:

Given that,

Ratio of mode and median of a certain data is 6 : 5

Let the mode of the data be 6x

Let the median of the data be 5x

The relationship between mean, mode and median is given as:

Mode = 3 Median - 2 Mean

Therefore,

$6x = 3 (5x) - 2\ mean\\\\6x = 15x - 2\ mean\\\\2\ mean = 15x - 6x\\\\2\ mean = 9x\\\\mean = \frac{9x}{2}$

Find the ratio of its mean and median

$Mean : Median = \frac{9x}{2} : 5x\\\\Mean : Median = \frac{9}{2} : 5\\\\Mean : Median = 9 : 10$

Thus the ratio of its mean and median is 9 : 10

Learn more about this topic

If the ratio of mode and median of a certain data is 6:5, then find the ratio of its mean and median.

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Answer 2

9:10 is answer....

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