Question

Here are the heights in inches of 10 professional basketball players: 66, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these heights is 77.6 inches. Does this set have an outlier and, if so, how does removing it affect the mean?

The set has 66 as an outlier and removing it decreases the mean by about 1.3 inches.


The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.


The set has 66 as an outlier and removing it decreases the mean by about 6.6 inches.


The set has no outliers.




Question 5
Here are 10 test scores: 50, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 76. How does removing the outlier 50 affect the mean?


The set has 50 as an outlier and removing it decreases the mean by about 10.


The set has 50 as an outlier and removing it decreases the mean by about 2.


The set has 50 as an outlier and removing it increases the mean by about 3.


The set has 50 as an outlier and removing it decreases the mean by about 6.

Answer 1

Question 4: The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5: The set has 50 as an outlier and removing it increases the mean by about 3.

Explanation:

Question 4:

Given heights are:

66, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is: 77.6 inches

Removing 66 will make the mean increase to 78.9

So,

The set has 66 as an outlier and removing it increases the mean by about 1.3 inches.

Question 5:

50, 74, 76, 77, 78, 79, 80, 80, 82, 84

The mean is 76.

We can clearly see that 50 is an outlier as it is quite less than the given data.

Calculating mean after removing 50 will give us mean equal to 78.9

So the correct answer is:

The set has 50 as an outlier and removing it increases the mean by about 3.