Question

Samantha's test scores are 90, 86, 94, 84, and 22. Which measure of central tendency would give Samantha the HIGHEST final grade?

Answer 1

median

Explanation:

just did the usatestprep

Answer 2

Median.

Explanation:

We have been given the test scores of Samantha and we are asked to determine which central tendency would give Samantha the highest final grade.

Since we know that the mean is the only measure of central tendency that is always affected by an outlier. Let us find mean and median of our given data set.

Let us arrange our given data in ascending order to find the median.

22, 84, 86, 90, 94.

Our given data set has odd numbers of items(5), therefore median will be the value of the middle item. The median of our given data set will be equal to the value of 3rd item that is 86.

Therefore median of our data set will be 86.

We can see from our data set that is has a outlier (22), which will decrease the value of mean.

Let us find mean of our data set.

`\text{ Mean}=(90+86+94+84+22)/(5)`

`\text{ Mean}=(376)/(5)`

`\text{ Mean}=75.2`

We can see that median of our data set is greater than mean
`(86>75.2)`, therefore, median would give Samantha the highest final grade as median of a data set is not affected by extreme outliers.