Question

question 33 of 40
jon, leroy, and simon are having a free-throw shooting contest. each boy takes six turns and records the number of free throws he makes out of 10 shots. which boys median is greatest?
jon: 4, 5, 6, 7, 8, 10
leroy: 2, 4, 6, 8, 8, 9
simon: 3, 5, 5, 6, 9, 10
a. jon
b. leroy
c. simon
d. none of the above

Explanation:

Step1: Find Jon's median

Data is ordered: 4, 5, 6, 7, 8, 10. For even $n=6$, median = $\frac{6+7}{2}=6.5$

Step2: Find Leroy's median

Data is ordered: 2, 4, 6, 8, 8, 9. Median = $\frac{6+8}{2}=7$

Step3: Find Simon's median

Data is ordered: 3, 5, 5, 6, 9, 10. Median = $\frac{5+6}{2}=5.5$

Step4: Compare the medians

$7 > 6.5 > 5.5$, so Leroy's median is greatest.

Answer:

B. Leroy