**Averaging**

Sharon Thomas Emmanuel Christian School

8301 S. Damen Ave.

Chicago, Illinois 60620

312-239-6829

**Objectives**:

This lesson is appropriate for sixth graders.

1. Student will be able to identify the range.

2. Student will be able to recognize the score that occurs most frequently in

the distribution.

3. Student will be able to locate the middle point in the distribution.

4. Student will be able to find the average of a given set of numbers.

**Materials**:

Calculators

Group (4 students)

Index cards

Measuring tapes

Test papers

**Recommended Strategy**:

1. Write Test results on the chalkboard.

2. Give a brief introduction about the importance of the

"Measures of Central Tendency".

3. Introduce the terms RANGE, MODE, MEDIAN and MEAN.

4. Distribute the Test results.

5. Subtract the lowest score from the highest score.

6. Find the score that occurs most frequently in the distribution.

7. Arrange data in numerical order. Locate the middle point in the

distribution. For an even number of scores, there will be two

middle numbers. Add these numbers and then divide by two.

8. Find the sum of the scores and then divide by the number of scores.

**Activities**:

1. Divide students into groups. Each must find the RANGE and MEAN of

a) heights

b) distance from home to school

c) time spent watching TV

d) students in the class

e) sit ups done weekly

2. Games

a) BOWL-A-RAMA. Each bowler has an average of 90 at the end of

the sixth game.Students have to complete the chart to show each

bowler's score in the 6th game.

b) One student is selected from each group and is given a card

with a distribution of numbers to find the MEAN, MEDIAN and MODE.

The winner chosen is the student with the same number for each

MEASURE of CENTRAL TENDENCY.

**References**:

"**Modern Elementary Statistics**" by John E. Freund. 4th Edition.

"**The Numbers Game**" by Robert S. Reichard.

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