Question

Got It? Do this problem to find out.c. The number of games won in the American Football Conferencein a recent year is displayed below. Find the median and themeasures of variability. Then describe the data.American Football Conference Wins+10 11 12 131 2 3456 7 8 9

Answer 1

Step-by-step explanation:

The median is the value corresponding to the line inside the box. Looking at the box plot, the line is between 8 and 9. Thus,

Median = 8.5

To find the measure of variability, we would find the interquartile range, IQR

IQR = third quartile(Q3) - first quartile(Q1)

The first quartile is the value corresponding to the left end of the box. From the box plot, it is between 5 and 6. Thus,

Q1 = 5.5

The third quartile is the value corresponding to the right end of the box. From the box plot,

Q3 = 11

Thus,

IQR = 11 - 5.5

IQR = 5.5

The range is the difference between the minimum and maximum values. On the box plot,

maximum value = 13

minimum value = 1

Range = 13 - 1

Range = 12