Algebra II : Mean

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #31 : Mean

Find the mean of the set:

Possible Answers:

Correct answer:

Explanation:

To find the mean, there are two steps:

1. Add all of the numbers in the set together.

2. Divide that number by the amount of numbers are in the set.

 

For this problem there are 12 numbers in the set, so we add the numbers together and divide by 12 to find the mean:

 

Example Question #32 : Mean

Find the mean of the set:

Possible Answers:

Correct answer:

Explanation:

To find the mean, there are two steps:

1. Add all of the numbers in the set together.

2. Divide that number by the amount of numbers are in the set.

 

For this problem there are 13 numbers in the set, so we add the numbers together and divide by 13 to find the mean:

 

Example Question #33 : Mean

In order to pass Algebra II, Paul needs to have an average of 85 or higher for his final grade. On his three earlier tests, Paul scored a 95, 72, and 85. What is the lowest score that Paul can get on his last test to be able to pass the test? 

Possible Answers:

Not enough information to determine.

Correct answer:

Explanation:

We already know three of Paul's test scores and need to find the score on his last test so that the average is an 85.

Example Question #34 : Mean

Find the mean of the following number set:

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following number set:

To find the mean, simply take the sum of the number set and divide the sum by the total number of entries in the data set.

In this case, we get the sum via:

Then, because there are 7 entries in our set, we do the following

So our mean is 

Example Question #34 : Mean

Find the mean of the following data set.  

Possible Answers:

Correct answer:

Explanation:

To find the mean of a set of numbers, simply sum the set of numbers and divide by the number of numbers in the set.  There are four numbers in the set.

The mean is:  

Example Question #36 : Mean

Find the mean.  

Possible Answers:

Correct answer:

Explanation:

To find the mean, add the fractions and divide by the number of numbers in the set.

The least common denominator is 12 because each fraction denominator can be converted to this value.  Reconvert the fractions.

Add the fractions.

Divide this by three.  This is the same as multiplying by one-third.

The answer is:  

Example Question #35 : Mean

The Johnson family is taking a trip to California. They drove 45 miles an hour when they started their trip, 70 miles an hour for the next hour of their trip and 45 miles an hour for the last hour of their trip. What is the Johnson family's average speed for the entire trip?

Possible Answers:

None of the above

Correct answer:

Explanation:

This question is asking to find the mean of the speed travelled by the Johnson family. To do this you need to add the speeds and divide them by the number of legs in the trip.

So:

Example Question #132 : Data Properties

Find the mean of the dataset:  

Possible Answers:

Correct answer:

Explanation:

Add all the numbers and divide by the number of numbers in the dataset.  There are four numbers in this dataset.

Simplify the numerator.

The answer is .

Example Question #133 : Data Properties

Billy has four exams.  Each exam has a maximum of 100 points.  He scored a 65 and a 60 on his first two exams.  What is the minimum score he will need on his next two exams to have a final average of 80?

Possible Answers:

Billy cannot achieve the score

Correct answer:

Explanation:

Set up the equation that will show the mean of Billy's four exams.  The left side of the equation must equal to 80 for his final average.

Solve for .  This is Billy's bare minimum to achieve his desired score.

Subtract 125 on both sides.

Divide by 2 on both sides.

Billy will need a minimum of  on both exams.

Example Question #36 : Mean

If a student earned 98, 89, 92, 75, and 90 on five tests, what score does she need to earn to garner an 87 in the class?

Possible Answers:

Correct answer:

Explanation:

Recall that finding the average requires you to add up the terms and then divide by the number of terms. Since we are trying to find the score of the sixth test, we have to remember that there are 6 terms. Therefore, our equation looks like this: . Then, solve for x, which is 78.

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