Box Plots Statistics

Box Plots

​Q1

​Q3

​Median

​Min.

​Max.

​10

​12

​14

​16

​18

​20

​22

​24

​26

​28

30

Multiple Choice

Box plots can be also known as

• bar graphs

• box and whiskers

• stem and leaf

• histographs

Multiple Select

Select all that apply.

The main purposes of box plots is

• to visually represent a summary of the data collected

• Practice drawing boxes

• to see if the data contains any outliers

• to compare the distribution of different sets of data

Labeling

Label where each number of the 5-number summary would go on a box plot.

Drag labels to their correct position on the image

Median

Min

Q1

Q3

Max

Finding the Median

Students were asked how many siblings they have and this was the data that was collected.

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 12

Multiple Choice

Students were asked how many siblings they have and this was the data that was collected.

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 12

What is the median?

• 1

• 2

• 2.5

• 3

Finding the upper quartile and lower quartile.

Even Number

​Find the median of the lower half and upper half of the data for the Q1 and Q3.

Odd Number

Find the median. Then, find the median of the lower half, not including the median. Then, find the median of the upper half, not including the median.

Students were asked how many siblings they have and this was the data that was collected.
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 12

​1) Determine how many data values to you have.

2) ​If even, ​find the median of the lower half and upper half of the data for the Q1 and Q3.

2) ​If odd, find the median. Then, find the median of the lower half, not including the median. Then, find the median of the upper half, not including the median.2)

Find the quartiles of the given set of data below.
11, 14, 18, 20, 21, 24, 27

​1) Determine how many data values to you have.

2) ​If even, ​find the median of the lower half and upper half of the data for the Q1 and Q3.

2) ​If odd, find the median. Then, find the median of the lower half, not including the median. Then, find the median of the upper half, not including the median.2)

Fill in the Blanks

What is the median of the given data set?

They surveyed 18 students and collected the following data on how many texts messages kids

with cellphones send.

2, 2, 4, 5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24, 24, 26, 28, 29

Fill in the Blanks

What is the lower quartile (Q1) of the given data set?

They surveyed 18 students and collected the following data on how many texts messages kids

with cellphones send.

2, 2, 4, 5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24, 24, 26, 28, 29

Fill in the Blanks

What is the upper quartile (Q3) of the given data set?

They surveyed 18 students and collected the following data on how many texts messages kids

with cellphones send.

2, 2, 4, 5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24, 24, 26, 28, 29

Fill in the Blanks

What is the minimum of the given data set?

They surveyed 18 students and collected the following data on how many texts messages kids

with cellphones send.

2, 2, 4, 5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24, 24, 26, 28, 29

Fill in the Blanks

What is the maximum of the given data set?

They surveyed 18 students and collected the following data on how many texts messages kids

with cellphones send.

2, 2, 4, 5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24, 24, 26, 28, 29

Fill in the Blanks

What is the median of the given data set?

The results of the number of correct answers in a 50-problem addition fluency of 19 students are shown below:

8, 14, 18, 22, 22, 24, 25, 25, 27, 30, 31, 31, 31, 34, 38, 39, 41, 42, 44

Fill in the Blanks

What is the lower quartile (Q1) of the given data set?

The results of the number of correct answers in a 50-problem addition fluency of 19 students are shown below:

8, 14, 18, 22, 22, 24, 25, 25, 27, 30, 31, 31, 31, 34, 38, 39, 41, 42, 44

Fill in the Blanks

What is the upper quartile (Q3) of the given data set?

The results of the number of correct answers in a 50-problem addition fluency of 19 students are shown below:

8, 14, 18, 22, 22, 24, 25, 25, 27, 30, 31, 31, 31, 34, 38, 39, 41, 42, 44

Fill in the Blanks

What is the minimum of the given data set?

The results of the number of correct answers in a 50-problem addition fluency of 19 students are shown below:

8, 14, 18, 22, 22, 24, 25, 25, 27, 30, 31, 31, 31, 34, 38, 39, 41, 42, 44

Fill in the Blanks

What is the maximum of the given data set?

The results of the number of correct answers in a 50-problem addition fluency of 19 students are shown below:

8, 14, 18, 22, 22, 24, 25, 25, 27, 30, 31, 31, 31, 34, 38, 39, 41, 42, 44