Math 1: Box and Whisker Plots - blogs



Coordinate Algebra Name: _______________________

Box-N-Whisker Notes

Making A Box-N-Whisker Plot

Steps to making a box-n-whisker plot

❖ Write data in numerical order.

❖ Find the smallest value, median, first quartile, second quartile, and largest value.

❖ Draw a number line.

❖ Place a circle beneath the number line for each value from step 2.

❖ Draw the box-n-whisker plot

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

|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.

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 _________

Finding outliers:

IQR + 1.5(Q1) =

IQR - 1.5(Q1) =

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!

| | |

|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!

|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!

|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!

|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.

| | |

|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!

|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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