Students find a sample of a given size with a given mean. Students will show one way 100 families can have a mean of 2.58 children and understand the meaning of the term "average."

Before the Activity

Understand the concept of "average" in mathematics

Study the calculator keystrokes as explained in the activity

See the attached PDF file for detailed instructions for this activity

Print pages 13 - 18 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the activity procedures:

Prepare a plan to show exactly 100 families that have an average of 2.58 children

Understand that since the mean is between 2 and 3, some families with 2 children and some families with 3 children should be used for the sample

Realize that since the mean is closer to 3 than 2, more families with 3 children should be used

Record the number of families which have 2 children

Record the number of families which have 3 children

Make a plan with exactly 100 families

Calculate the total number of children

Try to ensure that the total number of children does not exceed 258 [because the mean is 2.58]

If the number of children exceeds 258, trade in some larger families for some smaller ones

If the number of children is less than 258, trade in some smaller families for some larger ones

Create other plans with families having 1, 2, 3, and 4 children

After the Activity

Students complete the Student Activity pages and answer questions.

Review student results

As a class, discuss questions that appeared to be more challenging