Algebra II : Mean
Study concepts, example questions & explanations for Algebra II
All Algebra II Resources
Example Questions
Example Question #31 : Mean
Find the mean of the set:
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:
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?
Not enough information to determine.
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:
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.
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.
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 #231 : Algebra Ii
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?
None of the above
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 #38 : Mean
Find the mean of the dataset:
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 #161 : Basic Statistics
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?
Billy cannot achieve the score
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 
Subtract 125 on both sides.
Divide by 2 on both sides.
Billy will need a minimum of 
Example Question #232 : Algebra Ii
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?
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: 
All Algebra II Resources
