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Exploring Box Plots

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Exploring Box Plots

Using the Key components of the Box plot to compare variability

Ashley’s Dress shop posted sales for one week of $874, $1471, $1275, $1078, $993, $471, and $1125. Find the median sales for the week.

Ashley’s Dress shop posted sales for one week of $874, $1471, $1275, $1078, $993, $471, and $1125. Find the median sales for the week.

Solution:

Step 1: Order the numbers in ascending order

$471 $874 $993 $1078 $1230 $1657

Step 2: Since there are 6 numbers, we must average the two middle numbers todeterminethe median value.

$471 $874 $993$1078 $1230 $1657

Step3: Add the 3rd and 4th numbers.

$993 + $1078 = $2071

Step 4: Divide that answer by 2

$2071/2 =

Step 5: Solution

Ashley’s Dress shop weekly median total is $1035.50 dollars.

Lesson Objectives

Learning Goals -

*Calculate and identify the values of the key components of a box plot

*Construct and compare multiple data sets using Box Plots

Key Terms

- Minimum value
- Maximum Value
- Range
- Median value
- Lower Quartile (Q1)
- Upper Quartile (Q3)
- Interquartile Range (IQR)

The girls basketball team sold cookies for a fundraiser. The members of the team sold the following amount of cookies: 7, 13, 11, 5, 9, 19, 4, and 2. The coach wants to represent this data using a box plot.

Let’s create a box plot.

Step 1: Order the data

2, 4, 5, 7, 9, 11, 13, 19

Step 2: Separate the value in two equal groups and label them.

2, 4, 5, 7 9, 13, 11, 19

The girls basketball team sold cookies for a fundraiser. The members of the team sold the following amounts of cookies: 7, 13, 11, 5, 9, 19, 4, and 2. The coach wants to represent this data using a box plot.

Step 3: Label each group of values

Q1: 2, 4, 5, 7 M: 7, 9 Q3: 9, 11, 13, 19

Step 4: Determine the median, lower quartile, and upper quartile values. Solve for the Interquartile Range (IQR)

Q1 = 4.5 M = 8 Q3 = 12

IQR = Q3-Q1 = 10.5-4.5 = 6

Lets try it together using the steps that were outlined

The list below shows the ages of the children in the Alexander Family. Create a Box Plot.

1, 14, 5, 10, 3, 7, 12, 17

Step 1: Order the data in ascending order

1, 3, 5, 7, 10, 12, 14, 17

Step 2: Separate the data into equal groups

1, 3, 5, 7 10, 12, 14, 17

The list below shows the ages of the children in the Alexander Family. Find the Q1, Q3, median and IQR values of the different ages.

1, 14, 5, 10, 3, 7, 12, 17

Step 3: Label the groups

Q1: 1, 3, 5, 7 M: 7, 10 Q3: 10, 12, 14, 17

Step 4: Determine the median value for each of the three groups and the Interquartile Range (IQR)

Q1 = 4 M = 8.5 Q3 = 13 IQR = 9

Using the previous data from the Girls basketball cookie fundraiser, Create a Box Plot

2, 4, 5, 7, 9, 11, 13, 19

Step 1: Plot the points on a real number line

Using the previous data from the Girls basketball cookie fundraiser, Create a Box Plot

2, 4, 5, 7, 9, 11, 13, 19

Step 2:Q1 = 4.5 M = 8 Q3 = 12 IQR = 6

Step 3: Identify the Q1, M, and Q3 values on the number line

Step 4: Create the Box Plot

Lets try it together using the steps that were outlined

Using the ages of the children in the Alexander Family, create a Box Plot

1, 14, 5, 10, 3, 7, 12, 17

Step 1: Plot the points on a real number line

Using the ages of the children in the Alexander Family, create a Box Plot

1, 14, 5, 10, 3, 7, 12, 17

Step 2:

Q1 = 4 M = 8.5 Q3 = 13 IQR = 9

Step 3:

Identify the Q1, M, and Q3 values on the number

Step 4: Create the Box Plot

Try this in your group:

The precipitation data for the percentage of rainfall in the city of Miami during the month of May is listed below. Create a

Box Plot to display the range of the data

29, 17, 36, 10, 53, 20, 48, 42, 37, 60

Remember to use your steps when solving for the key components of the box plot.

Q1 = 20 M = 36.5 Q3 = 48 IQR = 28

The Box plot displays the average grades for students in Mr. Gayle’s and Mrs. Smith’s Reading Class. Box A represents Mr. Gayle and Box B represents Mrs. Smith.

Compare the all of the components of the two box plots. What conclusions can you make?

Let’s try this one as a group

Box 1 will represent the number of letters in the first name.

Box 2 will represent the number of letters in the last name.

Use this data to create a box plot in your journals. (Remember to use your step as you begin to get your components.

Compare the components of the box plot, write your result in your journals.

Complete the Independent Practice worksheet.

The assignment must be completed on your own

Raise your hand if you need additional assistance while completing the activity

Closure

What did I learn today?