Summarize Data Distributions

Pineapples were packed in three large crates. For each crate, the weight of every pineapple in the crate was recorded. Here are three box plots that summarize the weights in each crate. Select all of the statements that are true, according to the box plots.

• The weights of the pineapples in Crate 1 were the most variable.

• The heaviest pineapple was in Crate 1.

• The lightest pineapple was in Crate 1.

• Crate 3 had the greatest median weight and the greatest IQR.

• More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.

Which of these three statements appear to be true?

• I only

• I and II

• II and III

• III only

Here is a box plot that summarizes data for the time, in minutes, that a fire department took to respond to 100 emergency calls. Select all the statements that are true, according to the box plot.

• Most of the response times were under 13 minutes.

• Fewer than 30 of the response times were over 13 minutes.

• More than half of the response times were 11 minutes or greater.

• There were more response times that were greater than 13 minutes than those that were less than 9 minutes.

• About 75% of the response times were 13 minutes or less.

What is the greatest number of books read by a student in this group?

• 2

• 6

• 12

• 15

• 16

What is the IQR ? (interquartile range)

• 4

• 5

• 6

• 13

What is the median number of hours students spent doing homework?

• 5

• 7

• 9

• 11

What is the IQR of this data?

• 5

• 6

• 8

• 9

Which sport shows the greatest variability in players' heights?

• Basketball

• Football

• Hockey

• Baseball

Can the histogram be used to estimate the mean age of the movie watchers?

• Yes

• No

What is the median number of books read by the students?

• 5

• 6

• 10

• 15