Question

the top 14 speeds, in miles per hour, for professional drag racing over the past two decades are listed below. find the median speed. 181.1 202.2 190.1 201.4 191.3 201.4 192.2 201.2 193.2 201.2 194.5 199.2 196.0 196.2

a. 195.8
b. 196.7
c. 196.1
d. 201.2

Explanation:

Step1: Arrange data in ascending order

181.1, 190.1, 191.3, 192.2, 193.2, 194.5, 196.0, 196.2, 199.2, 201.2, 201.2, 201.4, 201.4, 202.2

Step2: Determine position for median

Since \(n = 14\) (even - numbered data set), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered - values. \(\frac{n}{2}=\frac{14}{2}=7\) and \(\frac{n}{2}+1 = 8\).

Step3: Find the median

The 7th value is 196.0 and the 8th value is 196.2. Median\(=\frac{196.0 + 196.2}{2}=\frac{392.2}{2}=196.1\)

Answer:

C. 196.1