Question

Show that the mean and the median are same in the following:
(a) 2, 5, 8, 11, 14, 17, 20
(b) 23, 19, 15, 11, 7, 3​

Answer 1

Step-by-step explanation:

(a) 2, 5, 8, 11, 14, 17, 20

mean sum of all observations/number of observations

= (a) 2+ 5+8+ 11+14 +17+ 20/7

= 77/7

=11

median is the middle most value

= 11

so median = mean = 11

(b) 23, 19, 15, 11, 7, 3

mean sum of all observations/number of observations

= 23+ 19+15+11+7+ 3/6

= 78/6

= 13

median is the middle most value= (15+11)/2

= 26/2

= 13

so median = mean = 13

hence verified