Question

mean: 7.50 median: 7.75 mode: 7.00 range: 1.00 iqr: 0.50
the measures of center and dispersion are recalculated after a 7th competitor takes their turn.
after the 7th competitor:
mean: 7.20 median: 7.75 mode: 7.00 range: 1.75 iqr: 0.50
which statement best describes the 7th competitors long - jump results compared to the other 6?
press to hear a reminder or hint for this problem.
examine the measures of center and dispersion before and after the 7th competitors turn. what type of value would decrease the mean but increase the range of the original data set?
a the 7th competitor had a jump that was about the same distance as the previous 6 competitors.
b the 7th competitor had a jump that was much shorter than the previous 6 competitors.
c the 7th competitor had a jump that was much longer than the previous 6 competitors.

Explanation:

Step1: Analyze mean change

The mean decreased from 7.50 to 7.20. A value less than the original mean will pull the mean down.

Step2: Analyze range change

The range increased from 1.00 to 1.75. This implies that the 7th - competitor's value is either a very low or a very high out - lier. Since the mean decreased, it is a very low out - lier.

Answer:

B. The 7th competitor had a jump that was much shorter than the previous 6 competitors.