InterviewSolution
| 1. |
Calculate the mean deviation of the following income groups of five and seven members from their medians:I Income in Rs.II Income in Rs.400038004200400044004200460044004800460048005800 |
||||||||||||||||||||||||||||||
|
Answer» Given, Numbers of observations are given in two groups. To Find: Calculate the Mean Deviation from their Median. Formula Used: Mean Deviation = \(\frac{\Sigma d_i}{n}\) For Group 1: Since, Median is the middle number of all the observation, So, To Find the Median, Arrange the Income of Group 1 in Ascending order, we get 4000, 4200, 4400, 4600, 4800 Therefore, The Median = 4400 Deviation |d| = |x-Median| Now, The Mean Deviation is
Mean Deviation = \(\frac{\Sigma d_i}{n}\) Mean Deviation Of Group 1 = \(\frac{1200}{5}\) = 240 For Group 2: Since, Median is the middle number of all the observation, So, To Find the Median, Arrange the Income of Group 2 in Ascending order, we get 3800,4000,4200,4400,4600,4800,5800 Therefore, The Median = 4400 Deviation |d| = |x-Median| Now, The Mean Deviation is
Mean Deviation = \(\frac{\Sigma d_i}{n}\) Mean Deviation Of Group 2 = \(\frac{3200}{7}\) = 457.14 Hence, The Mean Deviation of Group 1 is 240 and Group 2 is 457.14 |
|||||||||||||||||||||||||||||||