Box and Whiskers Plots

Reading & Creating Box & Whisker Plots

Objective: I can identify 5 number summary
in order to interpret Box and Whiskers Plots.

Box and Whiskers Plots

Graphical Representation of the 5-number summary

​Boxplots show the "five number summary" of data, dividing the data into quarters (25%). From the left to right on the diagram: Minimum, First Quartile (Q1), Median (Q2), Third Quartile (Q3), and Maximum.

Labelling

Label the parts of the box and whiskers plot.

Drag labels to their correct position on the image

Median

Third Quartile (Q3)

Minimum

Maximum

First Quartile (Q1)

Multiple Choice

The LARGEST number in the data set is called _____________.

• Maximum

• Minimum

• Median

• Quartile

Multiple Choice

The smallest number in a set of data is called __________________.

• Minimum

• Maximum

• Median

• Limit

Multiple Choice

What does point C on the box plot represent?

• First Quartile (Q1)

• Median

• Third Quartile (Q3)

• Mean

Multiple Choice

What do points B and D represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value

  (minimum and maximum)

• First and Third Quartiles

  (Q1 and Q3)

Multiple Choice

What do points A and E represent on the box plot?

• Mean and Mode

• Mean and Median

• Least and Greatest Value (minimum and maximum)

• First and Third Quartiles

  (Q1 and Q3)

Multiple Choice

What is the median of the data?

• 200

• 100

• 90

• 140

Multiple Choice

What value is the First Quartile (Q1)?

• 66

• 58

• 60

• 64

Multiple Choice

What data value is the Third Quartile (Q3)?

• 64

• 62

• 66

• 58

Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What is the maximum value?

• 64

• 58

• 66

• 60

Draw

Students in Ms. M class were studying how many texts messages kids

with cellphones send on a Saturday. They surveyed 11 students and collected the following data.

5, 7, 11, 11, 12, 14, 16, 17, 19, 22, 24

Find the 5 number summary ( min , Q1, Median, Q3, max) and

create a box and whisker plot for the data.

Definitions:

Minimum: The lowest value of the data set

​

First Quartile (Q1): ​Middle of the lower half of the data set. 25% of the data lies below this value.

​

Median: Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above. ​

​

Third Quartile (Q3): Middle of the upper half of the data set. 75% of the data lies below this value.

​

Maximum: The highest value of the data set.

​

Match

Match the following terms with their definitions

• Minimum (Min)

• First Quartile (Q1)

• Median (Q2)

• Third Quartile (Q3)

• Maximum (Max)

The lowest value of the data set

Middle of the lower half of the data set. 25% of the data lies below this value

Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above.

Middle of the upper half of the data set. 75% of the data lies below this value

The highest value of the data set

• The lowest value of the data set

• Middle of the lower half of the data set. 25% of the data lies below this value

• Middle of the data set. Half the data (50%) lies below this value and half (50%) lies above.

• Middle of the upper half of the data set. 75% of the data lies below this value

• The highest value of the data set

Multiple Choice

What percent of students has a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

Multiple Choice

What percent of students has heights between 60 inches and 66 inches?

• 75%

• 50%

• 100%

• 25%

How to read a Box and Whiskers plot ?

​median of all data

Multiple Choice

What is the median of math quiz results from Mrs. Sanchez's class?

• 50

• 63

• 70

• 75

How to read a Box and Whiskers plot ?

​First Quartile Q1

​Third Quartile Q3

​25%

​25%

​25%

​25%

Multiple Choice

What percentage of scores were between 20 and 30?

• 0%

• 25%

• 50%

• 75%

Multiple Choice

What percentage of scores were between 30 and 70?

• 0%

• 25%

• 50%

• 75%

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

What percentage of the data is between 90 and 140?

• 25 %
• 50%
• 75%
• 100%

Multiple Choice

What is the Median of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Median of this Box Plot?

• 42

• 46

• 50

• 56

• 58

Multiple Choice

What is the Minimum of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Minimum of this Box Plot?

• 42

• 46

• 50

• 56

• 58

​Two additional pieces of information that can be determined are:

​

The Interquartile Range (IQR) = Q3 - Q1

The Range = Max - Min​

​

These pieces of information will show the extent to which the data is located near the center or near the extremes(max or min) of the data set.​

​

​

Measures of Spread

Drag and Drop

Inter Quartile Range =​

Placeholder

-​

Placeholder

RANGE=​

Placeholder

_ ​

Placeholder

​

Drag these tiles and drop them in the correct blank above

Third Quartile

First Quartile

Maximum

Minimum

Multiple Choice

What is the Range of the data set?

• 25

• 50

• 110

• 40

Multiple Choice

What is the Inter Quartile Range (IQR) of the data set?

• 25

• 50

• 110

• 40

How to read a Box and Whiskers plot ?

​Minimum or smallest value

Maximum or largest value

​Range of data= Maximum-Minimum

Multiple Choice

What is the range of math quiz results from Mrs. Sanchez's class?

• 75

• 20

• 95

• 60

Multiple Choice

What is the Inter Quartile Range of this box plot?

Hint: Inter Quartile Range = Third Quartile - First Quartile

IQR=Q3-Q1

• 20

• 75

• 85

• 40

Multiple Choice

What is the Inter Quartile Range of this box plot?

Hint: Inter Quartile Range = Third Quartile - First Quartile

IQR=Q3-Q1

• 42

• 46

• 50

• 10

Poll

How Do You feel about box plots?

• Everything makes sense here

• I kind of get it, but I need more practice

• I was good, but you lost me somewhere along the line

• I'm completely lost