Q1 of 79 Page 24

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

Using empirical formula

Mode = 3 median - 2 mean


Mode = 3 * (3x) - 2(2x)


Mode = 9x - 4x = 5x


Mode: Mean = 5x: 2x = 5: 2


More from this chapter

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4

Find the mode of the following data in each case:

(i) 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18


(ii) 7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7

 5

The demand of different shirt sizes, as obtained by a survey, is given below:

































Size



38



39



40



41



42



43



44



Number of persons (wearing it) :



26



39



20



15



13



7



5



Total = 125










Find the modal shirt sizes, as observed from the survey.

 2

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

 3

If the mean of x+2, 2x+3, 3x+4, 4x+5 is x+2, find x.