Exploring Box Plots and the Five Number Summary

What is a statistical question?

• A question that can be answered with a single number

• A question that is related to statistics but has a definite answer

• A question that has a variety of answers

• A question that cannot be answered

What does a box plot display?

• Only the mean of the dataset

• The minimum, maximum, median, first quartile, and third quartile of a dataset

• The frequency of each data point

• Only the range of the dataset

How is the interquartile range calculated?

• Third quartile minus the median value

• Third quartile minus the first quartile

• Maximum value minus the minimum value

• Median value minus the first quartile

What does the third quartile represent in a dataset?

• The median of the dataset

• The maximum value of the dataset

• 75% of the data falls below this value

• The first 25% of the data

What is the median in a dataset of 18 students' text messages sent on a Saturday?

• 14

• 15

• 16

• 17

What is the first quartile value in the text message dataset?

• 7

• 9

• 14

• 24

When constructing a box plot by hand, what should you first determine?

• The median of the dataset

• The scale of the number line

• The maximum value of the dataset

• The number of data points

What is the range of the dataset in the pool age study?

• 48

• 30

• 52

• 20

How many spaces should be on a number line to fit a range of 48?

• 48

• 30

• 24

• 60

What is the purpose of a box plot?

• To show every individual data point

• To calculate the mean of the dataset

• To display the frequency of data points

• To illustrate how data is spread across quartiles