Math 1: Box and Whisker Plots



GPS Algebra: Box and Whisker Plots Name: _______________________

You have seen a box-and-whisker plot and you know how to interpret one. Now it’s time to create one yourself! The chart below shows the process in which you need to follow in order to create a box-and-whisker plot.

The data: Math test scores 80, 75, 90, 95, 65, 65, 80, 85, 70, 100

Find your outliers first before you determine the smallest and the largest value for your box-and-whisker plot. Do not include the outliers as the smallest or largest value. Instead, mark them as points on the graph and then use the next highest or the next lowest to start or end the whiskers of the plot.

|Write the data in numerical order and find the first| |

|quartile, the median, the third quartile, the | |

|smallest value and the largest value. | |

|median = 80 | |

|first quartile = 70 | |

|third quartile = 90 | |

|smallest value = 65 | |

|largest value = 100 | |

|Place a circle beneath each of these values on a |[pic] |

|number line. | |

|Draw a box with ends through the points for the |[pic] |

|first and third quartiles.  Then draw a vertical | |

|line through the box at the median point.  Now, draw| |

|the whiskers (or lines) from each end of the box to | |

|the smallest and largest values. | |

Looking at the plot above, you can easily find the smallest value, the first quartile (or lower quartile), the median, the third quartile (or the upper quartile), and the largest value.

Remember to put the values in order from least to greatest FIRST!

Use the following data for 1 - 2. The data gives ages of students and their siblings.

9, 10, 8, 15, 16, 12, 14, 15, 19, 17, 16

1. Find each of the following values for the data:

A) Lowest Value

B) Lower Quartile

C) Median

D) Upper Quartile

E) Greatest Value

2. Make a box and whiskers plot for the data.

We have already looked at one particular type of graph used to show different statistics. This type of graph is a box-and-whisker plot.

[pic]

Looking at the box and whisker plot above we can determine different statistics. Find the following:

Median ____________ Lower Quartile ___________ Upper Quartile ___________

Interquartile Range ___________ Highest Value __________ Lowest Value _________

Range _________ Are there any outliers? _________ If so, what are they? _____________

Remember that the outliers on a box-and-whisker plot are not part of the whiskers. The outliers are listed off of the whiskers as lone points.

It is also important to notice that the number line on the bottom is just that: a number line. It does not represent the highest or lowest value, or the range of the data set.

Going Fishing!

| |[pic] |

|You and your dad go on a fishing trip! You go at the right time of day when the fish were biting! You | |

|caught 13 fish in one day! The following numbers are the lengths of the fish that you caught in inches: | |

| | |

|12, 13, 5, 8, 9, 20, 16, 14, 14, 6, 9, 12, 12 | |

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

Let’s Go Bowling!

| |[pic] |

|You and 5 of your friends go bowling on a Friday night. You each play two games, then put all of your | |

|scores together. The following numbers are each person’s scores for the first and second games: | |

98, 102, 89, 95, 120, 127, 150, 160, 200, 198, 100, 112

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

Watch Out Tiger Woods!

| |[pic] |

|The Lakeside golf team played a golf tournament at The Augusta National! They wanted to practice for the | |

|Masters. All 14 people on the golf team played. Their scores are listed below: | |

| | |

|95, 90, 87, 100, 85, 96, 84, 87, 79, 97, 102, 99, 98, 89 | |

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

Timber!

| |[pic] |

|The Little’s live at a lake house that surrounds a cove at Clarks Hill Lake. During the summer there are 13| |

|trees with leaves that block the view of the lake from the Little’s house. The height of the trees in feet | |

|are below: | |

| | |

|101, 99, 85, 90, 101, 88, 85, 93, 92, 99, 90, 100, 87 | |

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

Math counts.

| |[pic] |

|The math teachers were having a debate about which classroom was in the best position in the school. | |

|Being math teachers, they decided to dispute their disagreement using statistics! They used the mean | |

|of their room numbers as the best room. Below are the room numbers: | |

209, 217, 221, 223, 212, 218, 220, 224, 210, 219, 214, 222, 215

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

Super Bowl!

| |[pic] |

|Sports fans were trying to decide what the probable score for the Super Bowl was going to be. | |

|They looked at the past scores in Super Bowl’s to come up with some ideas. Here are the scores| |

|from the past 6 years: | |

| | |

|48, 21, 32, 29, 24, 21, 21, 10, 29, 17, 17, 14 | |

Find the following values:

Mean: ___________ Median: ___________ Mode: __________

Range: ___________ Upper Quartile: __________

Lower Quartile: ____________ Interquartile Range: ___________

Outlier(s): ____________

Draw a box-and-whisker plot below representing the data above:

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