Consider the data: Class 65 – 85 85 – 105 105 – 125 125 – 145 145 – 165 165 – 185 185 – 205 Frequency 4 5 13 20 14 7 4 The difference of the upper limit of the median class and the lower limit of the modal class is:

Question

KollegeApply · Accepted Answer

20 Explanation: Class Frequency Cumulative frequency 65 – 85 4 4 85 – 105 5 9 105 – 125 13 22 125 – 145 20 42 125 – 145 14 56 125 – 145 7 63 185 – 205 4 67 Here, N/2 = $\frac{67}{2}$ = 33.5, which lies in the interval 125 – 145. Hence, upper limit of median class is 145. Here, we see that the highest frequency is 20, which lies in 125 – 145. Hence, the lower limit of modal class is 125. $\therefore$ Required difference = Upper limit of median class – Lower limit of modal class = 145 – 125 = 20

AChoose Your Answer