132k views
2 votes
What are the more appropriate measures of center and spread for this dataset?Select two choices: one for the center and one for the spread.A. Better measure of spread: the standard deviationB. Better measure of center: the meanC. Better measure of spread: the interquartile range (IQR)D. Better measure of center: the median

What are the more appropriate measures of center and spread for this dataset?Select-example-1
User Cappittall
by
4.1k points

1 Answer

3 votes

Given: A data set represented in the question

To Determine: The best measure of center and spread

Solution

When it is skewed right or left with high or low outliers then the median is better to use to find the center. The best measure of spread when the median is the center is the interquartile range (IQR).

As for when the center is the mean, then standard deviation should be used since it measure the distance between a data point and the mean

From the representation shown, we can obsered that the data set is skewed to the left,

Hence,

The better measure of center is the median, and

The better measure of spread is the inter-quartile-range(IQR)

User Abbas Fatullaev
by
4.0k points