Question

a high school gym class was jumping rope. they wanted to know how many jumps each student could make before they missed. the results are listed below.
2 5 6 7 9 11 12 14 14
15 17 19 21 22 23 24 27 32
35 39 39 44 47 53 60 61 82
85 88 90 93 96 101 103 114 125
what is the median number of jumps that the students made before missing?
a. 32.5
c. 33.5
b. 33
d. 34

Explanation:

Step1: Count the number of data points

There are 36 data - points.

Step2: Determine the position of the median

Since \(n = 36\) (an even number), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered data - values. \(\frac{n}{2}=\frac{36}{2}=18\) and \(\frac{n}{2}+1 = 19\).

Step3: Identify the 18th and 19th values

When the data is ordered (which it already is in the problem), the 18th value is 32 and the 19th value is 35.

Step4: Calculate the median

Median\(=\frac{32 + 35}{2}=\frac{67}{2}=33.5\)

Answer:

c. 33.5