Question

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A student recorded the quiz scores for the first semester on the line plot. If the outlier(s) were removed, what would be the mean score?

Answer 1

The mean score when the outlier removed is 8.

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
`m=(sum of all the values)/(total number of the values)`.

Here
`m=(3+6+7+7+7+7+8+8+8+8+8+9+9+10+10)/(15)`.

`m=(115)/(15)`.

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
`m=(sum of all the values)/(total number of the values)`.

Here
`m=(6+7+7+7+7+8+8+8+8+8+9+9+10+10)/(14)`.

`m=(112)/(14)`.

m= 8.

The mean score when the outlier removed is 8.