Question

professor melendez has 10 students in her college algebra class. their ages are shown below.

19, 27, 19, 18, 18, 18, 47, 19, 20, 18

the mean age of the students in the class is 22.3. the median age of the students is 19.

there are two outliers in the data from professor melendezs class: 27 and 47.

when the outliers are removed, what is the mean age of the remaining students? round your answer to the nearest tenth.

what is the median age of the remaining students?

when outliers are removed from data, the greatest change generally occurs in the dropdown.

Explanation:

Identify the effect of outliers on measures of center

Using the Outlier Effects on Statistics and Mean vs Median in Skewed Data knowledge points

Outliers are extreme values that differ significantly from the rest of the data. Because the mean is calculated by summing all values and dividing by the total count, extreme values (outliers) pull the mean toward them, making it highly sensitive to outliers.

In contrast, the median is the middle value of an ordered dataset and is resistant to outliers because it only depends on the relative ordering of the data points, not their actual numerical magnitudes. Therefore, removing outliers has a much greater effect on the mean than on the median.

Answer:

When outliers are removed from data, the greatest change generally occurs in the <blank>mean</blank>.