AVERAGES

1. Write a formula which can find the average of two numbers x and y.

AVERAGE =

2. Use your formula to find the average of 16 and 34. Show your process.

AVERAGE =

3. Explain in words: How does the process of finding the average change if there are 6 numbers to average?

4.  Find the average of the six numbers 4, 6, 7, 12, 14, and 17. Show your process.

FREQUENCY TABLES

Often very large data sets are averaged. The data sets include many numbers which are the same. A Frequency Table describes how many of each number are included in the set. Examine the following table as an example:

 

Number

Frequency

 

1

2

 

2

4

 

3

3

The table explains the data set 1, 1, 2, 2, 2, 2, 3, 3, 3.

5. Find the average of the nine numbers above. Show your process. Round your answer to the nearest hundredth.

When the data set becomes too large, it becomes too tedious to add all of the numbers one by one. We need a different strategy. Examine the next frequency table, which shows the number of reviews a particular business owner has received of each number of stars.

 

Stars

Frequency

 

1

21

 

2

11

 

3

12

 

4

46

 

5

60

6. Determine how many total reviews this business has received. Show your process.

7. Rather than add up all of those numbers one at a time, we will add them in groups. As an example, if we add up all twelve of the 3s, we should use multiplication (since it represents adding the same number repeatedly). All of the 3s sum to 3 times 12 which is 36. In the following blanks, similarly write the sum of all numbers of each type.

Sum of 1s __________

Sum of 2s __________

Sum of 3s ___36___

Sum of 4s __________

Sum of 5s __________

8. Use your results from the previous two parts to find the average number of stars the business has received. Show your process. Round your answer to the nearest hundredth.

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