InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
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. |
|
Answer» We know that Number of observations = 9 It is given that median = 45 So we get Median = [(n + 1)/2]th value By substituting the values Median = [(9 + 1)/2]th 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 = 2(21) + 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. |
|