Question

directions: study the information and table, read each question, and choose the best answer. the running times of a ymca - sponsored 100 - meter race are shown below. times for the 100 - meter race

runner	time (seconds)
sanya	16
jeremy	12.6
erica	15.2
chen	12.8
yusuf	11.8
matt	17.2
sarah	12.1

1. what is the range of the runners’ times in the 100 - meter race? a. 4.2 s b. 5.4 s c. 6.4 s d. 13.9 s
2. what is the median time in the race? a. 5.4 s b. 12 s c. 13.15 s d. 13.9 s

Explanation:

Step1: Find the maximum and minimum values

The maximum time is 17.2 seconds (Sarah) and the minimum time is 11.8 seconds (Matt).

Step2: Calculate the range

The range is calculated by subtracting the minimum value from the maximum value. So, $17.2 - 11.8=5.4$ seconds.

Step1: Arrange the data in ascending order

$11.8, 12.1, 12.6, 12.8, 13.5, 15.2, 16, 17.2$

Step2: Determine the median

Since there are 8 data - points (an even number of data - points), the median is the average of the two middle values. The two middle values are the 4th and 5th values. So, the median is $\frac{12.8 + 13.5}{2}=\frac{26.3}{2}=13.15$ seconds.

Answer:

B. 5.4 s