Question

The data shows the number of people participating in the pie-eating competition on different days in two weeks. Select the correct option.

$\text{Stem}$	$\text{Leaf}$
$\text{2}$ $\text{3}$ $\text{4}$ $\text{9}$	$\text{1 3}$ $\text{0 1}$ $\text{0 8 9}$ $\text{9}$

• A. 99 is an outlier because it is numerically distant from the remaining data set.
• B. 31 is the center because it is in the middle row of the stem.
• C. 49 is an outlier because it is the smallest value.
• D. The spread is from 20 to 99.

Answer 1

The correct option is A 99 is an outlier because it is numerically distant from the remaining data set.

The list of the values in the data set: 21, 23, 30, 31, 40, 48, 49, and 99.

The minimum value is 21, and the maximum value is 99. So, the spread is from 21 to 99. Hence, option A is incorrect.

In the given data set, there are 8 values. So, the center is average of 4th and 5th value, which is $\frac{31+40}{2}$ = 35.5
31 is not the middle point value or center. Hence, option B is incorrect.

Since 99 is numerically distant from the remaining data set, it is an outlier. Hence, option C is correct.

Since 49 is closer to the other values, it is not an outlier. Hence, option D is incorrect.