Answer: d) the median speed in race a is about 153 miles per hour, and the median speed in race b is about 145 miles per hour.
Explanation:
The whole question is written below:
The box plots show the average speeds, in miles per hour, for the race cars in two different races (figure attached)
. Which statement compares the median speeds for the data in the two box plots?
a) the median speed in race a is about 142 miles per hour, and the median speed in race b is about 140 miles per hour.
b) the median speed in race a is about 120 miles per hour, and the median speed in race b is about 125 miles per hour.
c) the median speed in both races is about 165 miles per hour.
d) the median speed in race a is about 153 miles per hour, and the median speed in race b is about 145 miles per hour.
Firstly, let's explain how to read a box plot (as the shown in the second figure):
- The outer extreme points are the minimum and maximum values, respectively.
- The inner extreme points are the first quartile (also called lower median) and the third quartile (also called upper median).
- The point in the middle is Median.
So, according to this, the median for race a (top plot) is between 150 and 155, and the median for race b (bottom plot) is 145.
Hence, among the given options the correct is:
d) the median speed in race a is about 153 miles per hour, and the median speed in race b is about 145 miles per hour.
