Question

(1 point)

The two box plots summarize the number of hours spent in the weight room for all the players on the football team

for two different high schools. Which of the statements must be true about the distribution of data represented in the

boxplots?

school 1

school 2

2

18

4 6 8 10 12 14 16

hours in the weight room

Oь

OC

Players at school 1 typically spent more time in the weight room than players at school 2.

The middle half of the data for school 1 has more variability than the middle half of the data for school 2.

The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both

schools are equal.

The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players

at school 1.

Od

Question 21 point)

Answer 1

*the box plots are shown in the attachment below.

Answer:

The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both.

Explanation:

Median on a box plot is depicted by the vertical line that divides the rectangular box into 2.

The median hours for school 1 = 8

The median hours for school = 9

Interquartile range on a box plot is the range of the rectangular box.

Interquartile range for school 1 = 10 - 4 = 6

Interquartile range for school 2 = 12 - 6 = 6

Therefore, it is true that the median hours spent by school 1 (8 hrs) is less than the median hours spent by school 2 (9 hours).

It is also true that the jnterquartile range for school 1 and school tok are also equal (6).