Question

question 9 of 14
what are the more appropriate measures of center and spread for this data set?
select two choices: one for the center and one for the spread.
a. better measure of spread: the interquartile range (iqr)
b. better measure of center: the median
c. better measure of center: the mean
d. better measure of spread: the standard deviation

Explanation:

Step1: Analyze the box - plot

The box - plot shows a distribution that may be skewed or have outliers. For non - symmetric distributions, the median is a better measure of the center as it is not affected by extreme values.

Step2: Choose measure of spread

The interquartile range (IQR) is a robust measure of spread and is not influenced by outliers. Standard deviation is sensitive to outliers. Since the box - plot may indicate non - normality or outliers, IQR is a better measure of spread.

Answer:

B. Better measure of center: the median
A. Better measure of spread: the interquartile range (IQR)