Question

a reporter compared the scores of two basketball teams over the past year. when she listed the scores, she found the lists had the same measure of center but different measures of spread. which statement could describe the two teams lists of scores? they have the same ranges but different means. they have the same means but different medians. they have the same interquartile ranges but different ranges. they have the same medians but different interquartile ranges.

Explanation:

• Measures of center: Mean, median, and mode are measures of center.
• Measures of spread: Range, inter - quartile range (IQR), and standard deviation are measures of spread.
• If two data sets have the same median (a measure of center) but different inter - quartile ranges (a measure of spread), it satisfies the condition given in the problem.
• For the first option: If they have the same ranges (a measure of spread) but different means (a measure of center), it does not meet the requirement.
• For the second option: If they have the same means (a measure of center) but different medians (a measure of center), it is incorrect as we need the same measure of center.
• For the third option: If they have the same inter - quartile ranges (a measure of spread) but different ranges (a measure of spread), it does not meet the requirement of same measure of center.

Answer:

They have the same medians but different interquartile ranges.