Question

the following table shows scores on a spelling test. which measure is most affected by the outlier?
spelling test scores
$19.50 $22.95 $24.50
$23.95 $20.50 $49.95

Explanation:

Step1: Recall measure - sensitivity to outliers

Mean is highly affected by outliers as it takes into account all values in the data - set. Median is the middle - value and mode is the most frequent value, and they are less affected by outliers.

Step2: Identify the outlier

The values in the data - set are mostly in the range of $19.50 - 24.50$, and $49.95$ is the outlier.

Step3: Determine the most affected measure

The mean will be pulled upwards by the outlier $49.95$.

Answer:

Mean