SAT Math : Arithmetic Mean

Study concepts, example questions & explanations for SAT Math

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Example Questions

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Example Question #71 : Arithmetic Mean

If  is the average (arithmetic mean) of  and ,  is the average of  and , and  is the average of  and , what is the average of , , and  in terms of ?

Possible Answers:

Correct answer:

Explanation:

First Step is to write each mean equation out.

 

Example Question #72 : Arithmetic Mean

Based on the table, what is the the mean shoe size among the children?

Possible Answers:

Correct answer:

Explanation:

To calculate the mean shoe size, first sum up all the shoe sizes and then divide by the number of children.

Looking at the table, there are five children.

Therefore the formula to calculate the mean becomes,

Example Question #73 : Arithmetic Mean

If Billy has an average of  over 5 tests, what is the lowest score Billy can get over the next 3 tests in order to raise his average up to ?

Possible Answers:

Correct answer:

Explanation:

In order to solve this lets write two general equations that we will solve.

 

From the first equation, we get.

Substitute tis into the next equation,

 

Solve for ,

 

Example Question #74 : Arithmetic Mean

The mean of a group of five numbers is 10. The numbers in the group are 7, 11, 23, 4, and x. What is x? 

Possible Answers:

Correct answer:

Explanation:

We know that the mean of the five numbers is ten. Therefore the sum of the five numbers, divided by 5, equals ten.

So,

After solving for x we learn that x equals 5.

The algebraic steps are as follows:

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