Question

the following calculations are based on the distances (in feet) that 6 competitors had in the long jump.
based on the first 6 competitors:
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 much longer than the previous 6 competitors.
b the 7th competitor had a jump that was about the same distance as the previous 6 competitors.
c the 7th competitor had a jump that was much shorter than the previous 6 competitors.

Explanation:

Step1: Analyze the effect on the mean

The mean decreased from \(7.50\) to \(7.20\). A lower - than - average value will pull the mean down.

Step2: Analyze the effect on the range

The range increased from \(1.00\) to \(1.75\). Since the range is \(max - min\), and the mean decreased, it means the new value is a very low value (a minimum value that is much smaller than the previous minimum).

Answer:

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