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Exploring Box Plots. Using the Key components of the Box plot to compare variability . Bell Ringer (review - calculate median). 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.

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exploring box plots

Exploring Box Plots

Using the Key components of the Box plot to compare variability

bell ringer review calculate median
Bell Ringer(review - calculate median)

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.

slide3

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

slide4

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.

introduction how to create box plots
IntroductionHow to create Box Plots

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

introduction how to create box plots1
IntroductionHow to create Box Plots

Key Terms

  • Minimum value
  • Maximum Value
  • Range
  • Median value
  • Lower Quartile (Q1)
  • Upper Quartile (Q3)
  • Interquartile Range (IQR)
slide7

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

slide8

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

slide9

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

slide10

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

slide11

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

slide12

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

slide14

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

slide15

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

slide17

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.

comparing two box plots
Comparing two Box Plots

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?

create two box plots and make comparisons
Create two box plots and make comparisons.

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.

slide21

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

slide22

Closure

What did I learn today?

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