Algebra II : Data Properties

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #161 : Data Properties

If Bob scores a 60, 80, and 90 on three of five tests in his class, what is the minimum average of Bob's fourth and fifth test scores in order for Bob to earn an overall score of 80 in his class?

Possible Answers:

Correct answer:

Explanation:

The test scores of Bob's fourth and fifth tests are unknown.  Let Bob's fourth test score be  and fifth test score be .  Average all test scores.

Simplify the equation.  Multiply by five on both sides.

Subtract  from both sides.

The sum of Bob's fourth and fifth test must add up to this value.

To average the test scores, simply divide both sides by two.  This will be the minimum average of both test four and five.

The answer is:  

Example Question #65 : Mean

Determine the mean of the following numbers:  

Possible Answers:

Correct answer:

Explanation:

In order to determine the mean of the numbers, sum the numbers and divide the sum by the total amount of numbers provided in the data set.

Divide this number by five since there are five numbers.

The mean is:  

Example Question #66 : Mean

Determine the mean of the numbers:  

Possible Answers:

Correct answer:

Explanation:

To determine the average of the numbers in the data set, we will need to add all the numbers in the data set and divide the sum by the total numbers in the data set.

Simplify this fraction by adding the numerator.

The answer is:  

Example Question #191 : Basic Statistics

Determine the mean of the following data set:  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers provided in the data set.

Add all the numbers.

Divide this value by four since there are four numbers given.

The mean is:  

Example Question #261 : Algebra Ii

Billy scores 3, 5, and 7 on three of his four tests in his class.  The maximum score possible for each test is ten.  What must his fourth test be in order to average at least a 7 in his class?

Possible Answers:

Correct answer:

Explanation:

Let Billy's unknown score be .  Add the known scores including the unknown score and divide by four.  Set this expression equal to seven.

Multiply by four on both sides.  The equation becomes:

Add the terms on the left.

Subtract 15 on both sides.

Since this score exceeds the maximum score possible, Billy cannot achieve the average score of seven.

The correct answer is:  

Example Question #71 : Mean

Determine the mean of the numbers:  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers in the data set.

Add all the numbers provided and divide the sum by a total of four, since there are four numbers given.

This fraction is irreducible.

The answer is:  

Example Question #161 : Data Properties

Determine the mean:  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers given in the set of data.

Add all the numbers.

Divide this number by the total numbers in the data set.

The answer is:  

Example Question #73 : Mean

Determine the mean of the numbers:  

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers.  Convert the percentage to a fraction by removing the percentage and divide the number by 100.

Convert all fractions to a common denominator.  Write out the factors for the denominators.

The common denominator is 300.

Simplify the fractions.

There are three numbers in the data set.  Divide the fraction by three.

The answer is:  

Example Question #162 : Data Properties

Determine the mean of the following numbers:  

Possible Answers:

Correct answer:

Explanation:

The mean is defined as the average of all the numbers given in the data set.

Add the numbers and divide by the total amount of numbers.

The answer is:  

Example Question #192 : Basic Statistics

Determine the mean of the numbers:  

Possible Answers:

Correct answer:

Explanation:

The mean is the sum of all the numbers in the data set over the total amount of numbers given.

Add the numbers.

Divide this number by six since there are 6 numbers.

The answer is:  

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