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?

Explanation:

Identify the remaining data set

Using the Outlier Effects on Statistics knowledge point
The original data set of ages is:

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

The problem states that the two outliers are \(27\) and \(47\). Removing these two values leaves the remaining \(8\) ages:

$$ 19, 19, 18, 18, 18, 19, 20, 18 $$

Calculate the mean of the remaining students

Using the Basic Statistics knowledge point

$$
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$$

Calculate the median of the remaining students

Using the Basic Statistics knowledge point

$$
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$$

Answer:

Question 1

When the outliers are removed, what is the mean age of the remaining students? Round your answer to the nearest tenth.
<blank>18.6</blank>

Question 2

What is the median age of the remaining students?
<blank>18.5</blank>