Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7 of 10 what are the more appropriate measures of center and s…

Question

question 7 of 10
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 center: the median

b. better measure of center: the mean

c. better measure of spread: the interquartile range (iqr)

d. better measure of spread: the standard deviation

Explanation:

Brief Explanations

The data set (from the dot plot) appears skewed (has a long tail). For skewed data, the median is a better measure of center (as mean is affected by outliers/skewness), and interquartile range (IQR) is a better measure of spread (as standard deviation is affected by skewness/outliers). So the appropriate choices are median (A) for center and IQR (C) for spread.

Answer:

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