What are more appropriate measures of center and spread for a data set? Select two choices: one for the center and one for the spread.
What are more appropriate measures of center and spread for a data set? Select two choices: one for the center and one for the spread.
The correct option is C A better measure of center: median
Find the appropriate measures of center and spread for a data set:
Explanations for correct options:
Option (C) :
The median is the superior estimate of the three central tendencies mean, median, and mode. Because the median is the center entry, it is better than the mean or mode because it is unaffected by extreme items or outliers.
Option (B):
IQR is a better indicator of spread because extreme items have a higher standard deviation and certain outliers mislead.
Explanations for incorrect options:
Option(A):
Extreme values have an impact on the mean. If there are more outliers, the mean may not accurately reflect the nature of the data, whether it is skewed right or left.
Option (D):
The standard deviation is a measure of how far the data deviates from the mean. As a result, outliers may have an impact.
Hence, for the measure of spread: interquartile (IQR) will be the appropriate method which is Option (B). For a better measure of the center median will be the appropriate method which is Option (C).
Hence,options (B), (C) are correct answer.
A better measure of center: median
Find the appropriate measures of center and spread for a data set:
Explanations for correct options:
Option (C) :
The median is the superior estimate of the three central tendencies mean, median, and mode. Because the median is the center entry, it is better than the mean or mode because it is unaffected by extreme items or outliers.
Option (B):
IQR is a better indicator of spread because extreme items have a higher standard deviation and certain outliers mislead.
Explanations for incorrect options:
Option(A):
Extreme values have an impact on the mean. If there are more outliers, the mean may not accurately reflect the nature of the data, whether it is skewed right or left.
Option (D):
The standard deviation is a measure of how far the data deviates from the mean. As a result, outliers may have an impact.
Hence, for the measure of spread: interquartile (IQR) will be the appropriate method which is Option (B). For a better measure of the center median will be the appropriate method which is Option (C).
Hence,options (B), (C) are correct answer.
