Answer to Question #309525 in Statistics and Probability for Aaron john Felisil

Question

A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider samples of size 3 that can be drawn from this population. List all the possible samples and the corresponding mean. Sample Mean​

Answer 1

Solution

6,9,12

Mean= (6+9+12)/3=9

6,9,15

Mean= (6+9+15)/3 =10

6,9,18

Mean= (6+9+18)/3 = 11

6,9,21

Mean= (6+9+21)/3=12

6,12,15

Mean= (6+12+15)/3=11

6,12,18

Mean= (6+12+18)/3=12

6,12,21

Mean= (6+12+21)/3= 13

6,15,18

Mean= (6+15+18)/3= 13

6,15,21

Mean= (6+15+21)/3=14

6,18,21

Mean=(6+18+21)/3=15

9,12,15

Mean=(9+12+15)/3=12

9,12,18

Mean=(9+12+18)/3=13

9,12,21

Mean =(9+12+21)/3=14

9,15,18

Mean=(9+15+18)/3=14

9,15,21

Mean=(9+15+21)/3=15

9,18,21

Mean=(9+18+21)/3=16

12,15,18

Mean=(12+15+18)/3=15

12,15,21

Mean=(12+15+21)/3=16

12,18,21

Mean= (12+18+21)/3=17

15,18,21

Mean =(15+18+21)/3=18

Sample mean=(9+10+11+12+11+12+13+13+14+15+12+13+14+14+15+16+15+16+17+18)/20

    =13.5