Understanding, Identifying & Analyzing Box & Whisker Plotskleimeyermath.weebly.com/uploads/5/7/1/8/57183251/u2_l6_box_plo… · A box and whisker plot is a unique graph that breaks

Copyright 2012 Jamie Riggs http://missmathdork.blogspot.com/

Understanding, Identifying & Analyzing

Box & Whisker Plots

CCSS: 6.SP.4, 8.SP.1 VA SOLs: A.10

http://missmathdork.blogspot.com/


Box and Whisker Plots

THINK ABOUT IT! How is a Box and Whisker Plot a lot like a One Dollar Bill?

Hint:

Lower Extreme

Lower Quartile

Upper Quartile

Upper Extreme

Median

The inter quartile range is the middle 50% of the box and

whisker plot!

Each section of the box and whisker plot is ¼ or 25% of the

data!



A box and whisker plot is a unique graph that breaks data into quartiles. Each

quartile, despite how wide it may appear contains the same amount of data.

Think of each quartile like a quarter (25 cents). The longer the width of the plot

the further apart the data is in relation to each other. The shorter the width of

the plot the closer together the data is in relation to each other.

Example #1

Did the value of the coin change? How much is it worth?

Did the amount of information in the quartile change? What percentage of information is being reported?

Example #2

Did the value of the coin change? How much is it worth?

Did the amount of information in the quartile change? What percentage of information is being reported?



Identifying Box and Whisker Parts

0 5 10 15 20 25 30 35 40 45 50

KEY:

5 key values of a B&W – Blue 1st 25% - Purple 2nd 25% - Green Stripes 3rd 25% - Purple Polka Dots 4th 25 % - Orange Inter Quartile Range - Yellow

0 50 25

0 50 25

0 50 25

0 50 25

3 30

17 48

17 30

12 44

0 50 25 10 39



Directions: Color using the key then answer the questions using the data on the

next page

Identifying Box and Whisker Parts –

Hours playing a game

Assuming each set has the same number of people

Data Set A

0 5 10 15 20 25 30 35 40 45 50

Data Set B

0 5 10 15 20 25 30 35 40 45 50

Data Set C

0 5 10 15 20 25 30 35 40 45 50

Data Set D

0 5 10 15 20 25 30 35 40 45 50

Data Set E

0 5 10 15 20 25 30 35 40 45 50

KEY:

5 key values of a B&W – Blue 1st 25% - Purple 2nd 25% - Green Stripes 3rd 25% - Purple Polka Dots 4th 25 % - Orange Inter Quartile Range - Yellow

0



Analyzing the Data of Box and Whisker Plots

In data set A, what percent of data is greater than 10 hours?

In data set B, what percent of data is less than 45 hours?

In data set C, what percent of data is at least 25 hours?

In data set D, what percent of data is at most 30 hours?

In data set E, what percent of data is at least 45 hours?

Comparing data set B and D, which has the higher percentage

of students playing at least 20 hours?

Comparing data set C and E, which data set has more people

playing at least 25 hours?

Comparing data sets A and E, which data set has more people


In which set of data, is the Inter Quartile Range (IQR) the

largest?


smallest?

In which set of data, is the Median the largest?

In which set of data, is the Median the smallest?



Analyzing the Data of Box and Whisker Plots

Math Class Test scores

Mrs. H’s Benchmark Scores – 20 students

Miss K’s Benchmark Scores – 24 students

Mrs. M’s Benchmark Scores – 16 students

Mrs. R’s Benchmark Scores – 20 students

How many students make up 25% of Mrs. H’s class?

How many students make up 25% of Miss K’s class?

How many students make up 25% of Mrs. M’s class?

How many students make up 25% of Mrs. R’s class?

Comparing Mrs. H’s and Miss K’s classes:

Which class has a greater number of students scoring at

least a 90 on their test?

Comparing Mrs. M’s and Mrs. R’s classes:

Which class has a greater number of students scoring at

most 80 on their test?

Which Class has the highest median score?

Who has the most students scoring at least 75 on their test,

Miss K or Mrs. R?

70 98 83

70 96 90

60 100 80 70 90

75 85

80 87

65 99 75 85 80



KEY A box and whisker plot is a unique graph that breaks data into quartiles.

Each quartile, despite how wide it may appear contains the same amount of

data. Think of each quartile like a quarter (25 cents). The longer the width of

the plot the further apart the data is in relation to each other. The shorter the

width of the plot the closer together the data is in relation to each other.

Example #1

Did the value of the coin change?

No, How much is it worth?

it remains 25 cents

Did the amount of information in the quartile change? No,

What percentage of information is being reported?

it remains 25 percent of the information

Example #2

Did the value of the coin change?

No, How much is it worth?

it remains 25 cents

Did the amount of information in the quartile change?

No, What percentage of information is being reported?

it remains 25 percent of the information



Analyzing the Data of Box and Whisker Plots KEY

In data set A, what percent of data is greater than 10 hours? 50%

In data set B, what percent of data is less than 45 hours? 75%

In data set C, what percent of data is at least 25 hours? 50%

In data set D, what percent of data is at most 30 hours? 75%

In data set E, what percent of data is at least 45 hours? 25%

Comparing data set B and D, which has the higher percentage

of students playing at least 20 hours? Set B

Comparing data set C and E, which data set has more people


They have the

same amount

Comparing data sets A and E, which data set has more people

playing at least 15 hours? Set E


largest?

Set E

the IQR is 30


smallest?

Set A

The IQR is 10

In which set of data, is the Median the largest?

Set B

The median is

36

In which set of data, is the Median the smallest?

Set A

The median is

10



Analyzing the Data of Box and Whisker Plots KEY

Math Class Test scores

Mrs. H’s Benchmark Scores – 20 students

Miss K’s Benchmark Scores – 24 students

Mrs. M’s Benchmark Scores – 16 students

Mrs. R’s Benchmark Scores – 20 students

How many students make up 25% of Mrs. H’s class? 5

How many students make up 25% of Miss K’s class? 6

How many students make up 25% of Mrs. M’s class? 4

How many students make up 25% of Mrs. R’s class? 5

Comparing Mrs. H’s and Miss K’s classes:

Which class has a greater number of students scoring

at least a 90 on their test?

Miss K has 6 while

Mrs. H has 5

Comparing Mrs. M’s and Mrs. R’s classes:

Which class has a greater number of students scoring

at most 80 on their test?

Mrs. M has 4

while Mrs. R has

10

Which Class has the highest median score? Miss K’s median

is 85

Who has the most students scoring at least 75 on their

test, Miss K or Mrs. R?

Miss K has 18

students scoring

a 75 or more

Miss R has 15

70 98 83

70 96 90

60 100 80 70 90

75 85

80 87

65 99 75 85 80








Documents

Understanding, Identifying & Analyzing Box & Whisker Plotskleimeyermath.weebly.com/uploads/5/7/1/8/57183251/u2_l6_box_plo… · A box and whisker plot is a unique graph that breaks