The numbers 42 43 44 44 2x 3 45 45 46 47 have been arranged in an ascending order and their median i...

Question

The numbers 42 43 44 44 2x 3 45 45 46 47 have been arranged in an ascending order and their median is 45 Find the value of x Hence find the mode of the above data

Accepted Answer

We know that Number of observations 9 It is given that median 45 So we get Median n 12th value By substituting the values Median 9 12th value We get Median 5th value 2x 3 It is given that median 45 We get 2x 3 45 On further calculation 2x 42 By division x 21 By substituting the value of x 2x 3 221 3 45 We get 42 43 44 44 45 45 46 47 We know that 45 occurs maximum number of times so the mode is 45

RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18D in Chapter 18 - Mean Median And Mode Of Ungrouped Data