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Algebra 1 : How to find mean

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Example Question #191 : How To Find Mean

Solve for the mean: [2,-8,9,36]

Possible Answers:

$\textup{There cannot be negative numbers to solve for the mean.}$

$\frac{19}{2}$

$\frac{45}{4}$

$\frac{39}{4}$

Correct answer:

$\frac{39}{4}$

Explanation:

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

Add the numbers.

2+(-8)+9+36 = 39

Divide this number by four.

The answer is: $\frac{39}{4}$

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Example Question #192 : Statistics And Probability

Danielle has made a $\textup{50, 65, 60, and 55}$ on four of her six exams in one of her classes. The passing grade is a . Assuming 100 is the highest possible score, what must she at least average on her last two exams?

Possible Answers:

$\textup{Danielle cannot pass her class.}$

Correct answer:

Explanation:

Let be the unknown scores for Danielle's last two exams. Set up an equation such that the sum of all exam grades over six is equal to seventy, since this is the passing score.

$\frac{50+65+60+55+x+x}{6} = 70$

Multiply both sides by six.

$\frac{50+65+60+55+x+x}{6} \cdot 6= 70\cdot 6$

50+65+60+55+x+x=420

Sum the numbers.

230+2x = 420

Subtract 230 from both sides.

2x=190

Divide by two on both sides.

$\frac{2x}{2}=\frac{190}{2}$

Simplify both sides.

x=95

Danielle must average at least a on both her last two exams in order to pass her class.

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Example Question #192 : How To Find Mean

Find the mean to the following data set: [-3,3,10,13,23]

Possible Answers:

$\frac{43}{5}$

$\textup{No mean.}$

$\frac{46}{5}$

$\frac{49}{5}$

Correct answer:

$\frac{46}{5}$

Explanation:

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

Add all the numbers.

-3+3+10+13+23=46

Since there are five numbers, divide this number by five.

The answer is: $\frac{46}{5}$

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Example Question #194 : Statistics And Probability

Solve for the mean: [-9,-1,1000]

Possible Answers:

$\frac{1010}{3}$

3000

9000

990

330

Correct answer:

330

Explanation:

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

Add the numbers.

-9+(-1)+1000 = -10 +1000 = 990

Divide this number by three.

$\frac{990}{3} = 330$

The mean is: 330

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Example Question #195 : Statistics And Probability

Find the mean of the numbers: [-19,36,14,-5]

Possible Answers:

$\frac{8}{3}$

$\frac{26}{5}$

$\frac{13}{2}$

$-\frac{1}{2}$

$-\frac{26}{5}$

Correct answer:

$\frac{13}{2}$

Explanation:

Write an expression to sum the numbers. Enclose the negative numbers in parentheses.

(-19)+36+14+(-5) = 26

Divide this number by four.

$\frac{26}{4}$

Reduce this fraction. Both the numerator and denominator are divisible by two.

$\frac{26}{4}=\frac{13\times 2}{2\times 2}$

Cancel out the twos.

The answer is: $\frac{13}{2}$

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Example Question #191 : How To Find Mean

Find the mean of the numbers: [0,0,0,1,1,1,2,3,4]

Possible Answers:

0,1

$\textup{There is no mean.}$

$\frac{4}{3}$

$\frac{3}{2}$

Correct answer:

$\frac{4}{3}$

Explanation:

The mean is the sum of all the numbers divided by the total amount of numbers in the data set. It is also the average.

Add the numbers.

0+0+0+1+1+1+2+3+4=12

There are nine numbers provided.

Divide the sum with nine.

$\frac{12}{9} = \frac{4}{3}$

The mean is: $\frac{4}{3}$

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Example Question #197 : Statistics And Probability

Cheryl has made it her goal to make an or higher in her math class. Her final grade is based on the average of four tests. If on the previous three tests she received grades of 76,91,83 , what is the minimum score she must receive on her final test in order to achieve her goal?

Possible Answers:

Correct answer:

Explanation:

The best way to solve this is to first determine what her final total score should be. If she needs an average of , with a total of tests, she must achieve a total score of 340 (which is $85\cdot4$ ). Then, to determine what score she must achieve on the final test, we simply subtract her previous scores. 340-(76+91+83)=340-250=90 . So her final score must be at least if she is going to achieve her goal.

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Example Question #198 : Statistics And Probability

David's final math score is based on the average (or mean) of five tests. He has gotten the following scores: 57,85,90,76,82 . What is his final math score?

Possible Answers:

390

Correct answer:

Explanation:

To find the average, we simply add all of the scores together and divide by the number of tests (in this case ). We find a sum of 390 , and when we divide by 5, we find a final average score of .

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Example Question #193 : How To Find Mean

Find the mean of the set of data:

4, 14, 8, 4, 2, 15, 18, 20, 5, 10

Possible Answers:

100

9.5

Correct answer:

Explanation:

Add up all of the values in the data set and divide the sum by the number of values of the set.

4+ 14+8+4+2+15+ 18+ 20+ 5+ 10 = 100

$100 \div 10 = 10$

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Example Question #21 : Basic Statistics

Find the mean of the following data set:

16,77,83,16,23,99,55,77,23,16

Possible Answers:

48.5

Correct answer:

48.5

Explanation:

Find the mean of the following data set:

16,77,83,16,23,99,55,77,23,16

Whenever we are working with a data set, it can be helpful to put the terms in order:

16,16,16,23,23,55,77,77,83,99

Now that our terms are in order, we can do all sorts of things with them.

In this case, we need to find the mean. This is essentially the same as the average.

Begin by finding the sum of our terms.

16+16+16+23+23+55+77+77+83+99=485

Now, because we have ten terms, we need to divide by 10

$\frac{485}{10}=48.5$

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Algebra 1 : How to find mean

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #191 : How To Find Mean

Example Question #192 : Statistics And Probability

Example Question #192 : How To Find Mean

Example Question #194 : Statistics And Probability

Example Question #195 : Statistics And Probability

Example Question #191 : How To Find Mean

Example Question #197 : Statistics And Probability

Example Question #198 : Statistics And Probability

Example Question #193 : How To Find Mean

Example Question #21 : Basic Statistics

All Algebra 1 Resources

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