The mean score when the outlier removed is 8.
Step-by-step explanation:
The number of quiz scores were 15.
The scores are 3,6,7,7,7,7,8,8,8,8,8,9,9,10,10.
That is he scored 4 times 7, 5 times 8, 2 times 9 and 10.
The mean [tex]m=\frac{sum of all the values}{total number of the values}[/tex].
Here [tex]m=\frac{3+6+7+7+7+7+8+8+8+8+8+9+9+10+10}{15}[/tex].
[tex]m=\frac{115}{15}[/tex].
m= 7.67.
If outlier 3 is removed then remaining score are 6,7,7,7,7,8,8,8,8,8,9,9,10,10.
The number of quiz scores will be 14
The mean [tex]m=\frac{sum of all the values}{total number of the values}[/tex].
Here [tex]m=\frac{6+7+7+7+7+8+8+8+8+8+9+9+10+10}{14}[/tex].
[tex]m=\frac{112}{14}[/tex].
m= 8.
The mean score when the outlier removed is 8.