Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

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?

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 #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?

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.

Example Question #233 : Algebra Ii

Find the mean of the following data set:

 

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

To find the mean, we simply need to sum our terms and divide by the number of terms. Our total number of terms is 11:

So our mean is 325

Example Question #42 : Mean

Find the mean of this data set:

Possible Answers:

Correct answer:

Explanation:

Find the mean of this data set:

To begin, let's put our numbers in increasing order:

Next, find the sum of our terms, and divide that by the number of terms.

So our answer is 244

Example Question #137 : Data Properties

Find the mean of the following data set:

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set:

Let's begin by putting our data in increasing order:

The mean of our data set will be the same as the average. Find the sum of the terms, then divide by the number of terms (15 in this case)

So our answer is 123.

Example Question #161 : Basic Statistics

Sandra has 5 book cases. The four of the cases have 15, 17,  12, and 15 books respectively. How many books does the fifth case have in it if the mean and median number of books in each case is the same.

Possible Answers:

Correct answer:

Explanation:

The median must be 15. 15 is the middle number weather the 5th number if less than 12 or more than 15. If the median is 15 the mean must also be 15.  


Once we know that we use the equation of the mean to solve the problem.

 Now solve for x

 

Multiply by 5 on both sides

 

 

Subtract 59 on both sides 

Example Question #234 : Algebra Ii

The points per game of 10 basketball players as as follows: 12, 8, 10, 30, 14, 2, 6, 11, 10, 0. What is the mean of the total points among the ten players? (Round to the nearest whole number).

Possible Answers:

Correct answer:

Explanation:

To find the mean of these numbers you must add them all up and divide by the total number of players.

You get:

   

which rounds to .

Example Question #164 : Basic Statistics

During a class project two students record how much time they spend outdoors (in minutes) after school for a week. The data collected is below.

Student A:  65, 60, 76, 44, 90

Student B: 70, 63, 74, 60, 102

Which of the following is true about the data above?

Possible Answers:

None of the other answers are correct.

The mean and range of student A greater than the mean and range from student B

The mean and range of student A equal to the mean and range from student B

The mean of student A is greater than the mean of student B

The range of student A is greater than the range of student B

Correct answer:

The range of student A is greater than the range of student B

Explanation:

The mean of student A is

The range of studnet A is 

 

The mean of student B is 

 

The range of studnet B is 

 

The range of student A is more the the range of student B.

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