Calculate the mean median and mode of each of the following

Calculate the mean, median, and mode of each of the following populations of numbers: (a) 9, 15, 16, 10, 15, 8, 15, 12, 15, 12 (Round your mean value to 1 decimal place and median value to 2 decimal places.) N (Population) MEAN MEDIAN MODE

(b) 75, 83, 92, 131, 83, 139, 124, 92, 113 (Round your mean value to 2 decimal places.) N (Population) MEAN MEDIAN MODE

Solution

(a) 9, 15, 16, 10, 15, 8, 15, 12, 15, 12

8 , 9, 10 , 12 , 12 , 15 , 15 , 15, 15, 16

Mean = ( 8 +9 +19 +12+12+15+15+15+15+16)/10 = 12.7

Median : n= 10 even , Median =( 5th observation +6th observation)/2 = (12 +15)/2 = 27/2 = 13.5

Mode = highest frequency term = 15

b) 75, 83, 92, 131, 83, 139, 124, 92, 113

75, 83 , 83 , 92, 92 , 113 ,124, 131, 139

Mean = ( 75+83+83+92+92+113+124+131+139)/9 = 103.56

Median : n is odd so, (9+1)/2 = 5th observation = 92

Mode : 83 and 92 occur twice.So,83 and 92 both are modes