Question

a modified box-and-whisker plot is a box-and-whisker plot that uses symbols to identify outliers. the horizontal line of a modified box-and-whisker plot extends as far as the minimum data entry that is not an outlier and the maximum data entry that is not an outlier. (a) identify any outliers and (b) draw a modified box-and-whisker plot that represents the data set. use open circles ( \circ ) to plot any outliers.

38 48 52 48 55 18 58 50 0 50 61 95 29 64 43 28 49 59

(a) identify any possible outliers. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. the outlier(s) is(are) .
(type an integer or decimal. use a comma to separate answers as needed.)
b. there are no outliers.

Explanation:

Sort the dataset

Using the Five-Number Summary knowledge point

$$ \text{Sorted Data: } 0, 18, 28, 29, 38, 43, 48, 48, 49, 50, 50, 52, 55, 58, 59, 61, 64, 95 $$

$$ N = 18 $$

Find the quartiles

Using the Five-Number Summary knowledge point

$$
LATEXBLOCK0
$$

Calculate the interquartile range

Using the Interquartile Range knowledge point

$$ \text{IQR} = Q_3 - Q_1 = 58 - 38 = 20 $$

Determine outlier boundaries

Using the Outlier Detection knowledge point

$$
LATEXBLOCK1
$$

Identify the outliers

Using the Outlier Detection knowledge point

$$
LATEXBLOCK2
$$

Answer:

• A. The outlier(s) is(are) 0, 95 (Correct answer)
• B. There are no outliers.