The students of Green Field High School were asked to collect soda cans in their summer break for a recycling project.
Mr. Harrison conducted a survey in his class to determine how many soda cans students collected during their summer break. The data is presented in the dot plot below.
Choose the best measures of center and spread based on the distribution.
A.
Center: mean of 26 cans
Spread: standard deviation of 2.01
B.
Center: mean of 25 cans
Spread: standard deviation of 3.01
C.
Center: median of 25 cans
Spread: interquartile range of 3
D.
Center: median of 26 cans
Spread: interquartile range of 4
C. Center: median of 25 cans, Spread: interquartile range of 3
The median is a better measure of center in this case because the data is skewed to the right, as shown in the dot plot. The interquartile range is a better measure of spread because it is less affected by outliers, which may be present in the data.