GED Math : Mean

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #31 : Mean

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, sum up your terms and divide by the number of terms.

We have 11 terms, so that will be our numerator.

Example Question #84 : Calculations

The sales of a construction supply company are shown for the first six months of a year:


In thousands, what is the mean dollar amount of sales for these six months?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the mean:

Start by finding the sum of all the values given:

Since we have six months, the number of values is .

Now, find the mean:

Example Question #31 : Mean

The following chart shows the pounds of strawberries harvested over the span of a week on a farm:


What is the difference between the median and the mean of the weights?

Possible Answers:

Correct answer:

Explanation:

To find the median, start by placing the values in numerical order:

The middle term, or the median, of this set is .

Next, recall how to find the mean of a set of values:

Thus, the mean for this set of values is

The difference between the median and the mean is then

 

Example Question #1905 : Ged Math

The following chart shows the pounds of strawberries harvested over the span of a week on a farm:


How many pounds of strawberries must be harvested on the eighth day for the average pounds of strawberries harvested each day to increase to  pounds?

Possible Answers:

Correct answer:

Explanation:

Recall how to find the mean:

The question gives us the mean and the number of values. Let  be the number of pounds that must be harvested on the eighth day, and then we can write the following equation and solve:

 pounds must be harvested on the eighth day in order for the average pounds of strawberries harvested to increase the desired amount.

Example Question #91 : Calculations

In order for Joseph to pass his math class, he must have an average test score of . On his past four math tests he received the following scores: . What must he score on his fifth and final test in order to pass the class?

 

Possible Answers:

Correct answer:

Explanation:

Recall how to find the average of a set of numbers:

We can then set up the following equation. Let  be the score of the fifth test.

Solve for .

Joseph must score a  on his next test to pass the class.

Example Question #35 : Mean

Peter ran each day during a five-day period. The number of miles he ran on each day was as follows:

Monday: One mile.

Tuesday: One and one half miles.

Wednesday: One mile.

Thursday: Two miles.

Friday: One half mile.

Give the average number of feet Peter ran per day over the five-day period in question.

Possible Answers:

Correct answer:

Explanation:

The average distance Peter ran over five days is the sum of the distances he ran divided by five, so first, add the distances:

Rewrite the expressions in terms of halves, and add numerators:

Peter ran a total of six miles. Since we are asked for an answer in feet, first, multiply this by 5,280 feet per mile:

feet.

Now, divide by 5:

feet per day, the correct response.

Example Question #32 : Mean

What is the mean of this set of data? 

Possible Answers:

Correct answer:

Explanation:

To find the mean, you must first add up all of the numbers in the set, then divide the total by how many numbers you have.

Let's start by adding up all the whole set.

Not counting the total, we see that we have  numbers in our set. We will divide  by  in order to get the mean.

Our answer is .

Example Question #33 : Mean

What is the mean for this set of data? 

Possible Answers:

Correct answer:

Explanation:

To find the mean, we must add up all of the numbers in our set, then divide our total by how many numbers we have.

Let's first add up the set. Remember to include the negative when adding.

If we count all of our numbers, not including the total, we can see that we have  numbers. Now we shall divide  from .

Our answer is .

Example Question #34 : Mean

What is the mean of this set of data?  

Possible Answers:

Correct answer:

Explanation:

To find the mean, we must first add up all of the numbers in our set, then divide the total by the number of numbers in our set.

Let's first add up all of our numbers.

Not including the total, we can see that we have  numbers in our set. We will divide  by  in order to get the mean.

Our answer is .

Example Question #35 : Mean

What is the mean for this set of data? 

Possible Answers:

Correct answer:

Explanation:

In order to find the mean, we must first add up all of the numbers in the set, then divide the total number by how many numbers we have.

If you have a calculator, then adding these fractions should be easy. If you don't have a calculator, then we will add them up by hand.

Right now we can't add our fractions together, as they have no common denominator. We must convert all of these fractions to have the same denominator and then we can add them.

 is a number that can have , and  in it, so we will use this number as our denominator. So we will multiply  by  with , and  with  in order to have  as the denominator. Make sure to multiply the numerator too!

Since we have  fractions, we will divide  by . This is the same as saying we are multiplying it by .

Our answer is 

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