Question

question 31 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

For Jon's data \(4,5,6,7,8,10\), since \(n = 6\) (even), median \(=\frac{6 + 7}{2}=6.5\)

Step2: Find Leroy's median

For Leroy's data \(2,4,6,8,8,9\), since \(n = 6\) (even), median \(=\frac{6+8}{2}=7\)

Step3: Find Simon's median

For Simon's data \(3,5,5,6,9,10\), since \(n = 6\) (even), median \(=\frac{5 + 6}{2}=5.5\)

Answer:

B. Leroy