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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #161 : Statistics And Probability

Find the mean of the following data set:

10, 9, 11, 10, 8, 4, 10, 7, 8, 3

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we use the following formula:

$\text{mean} = \frac{\text{sum of numbers}}{\text{quantity of numbers}}$

So, given the data set

10, 9, 11, 10, 8, 4, 10, 7, 8, 3

we substitute into the formula. We get

$\text{mean} = \frac{10+9+11+10+8+4+10+7+8+3}{10}$

$\text{mean} = \frac{80}{10}$

$\text{mean} = 8$

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Example Question #162 : Statistics And Probability

Find the mean of the following numbers: [-5,-10,15,20]

Possible Answers:

$\frac{25}{2}$

Correct answer:

Explanation:

The mean is the average of the numbers in the dataset.

Add all the numbers.

-5+(-10)+15+20 = 20

Divide this number by the total numbers in the dataset. There are four numbers.

$\frac{20}{4} =5$

The mean is 5.

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Example Question #163 : How To Find Mean

Find the mean of the following data set:

13, 4, 6, 3, 9, 3, 11, 11, 3

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, you add all the numbers together then divide by the amount of numbers in the set. In other words, given the set

13, 4, 6, 3, 9, 3, 11, 11, 3

we find the mean by

$\frac{13+4+6+3+9+3+11+11+3}{9}$

We divide by 9 because there are 9 numbers in the data set. Now,

$\frac{63}{9}$

Therefore, the mean of the data set is 7.

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Example Question #163 : Statistics And Probability

Find the mean of the following dataset: [-1,0,0,1,1]

Possible Answers:

$\frac{1}{2}$

$\frac{1}{5}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{5}$

Explanation:

The mean is the average of all the numbers of the dataset.

Add all the numbers.

-1+0+0+1+1 =1

Divide the number by the total amount of numbers in the dataset.

The answer is: $\frac{1}{5}$

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Example Question #165 : How To Find Mean

Find the mean of the following data set:

15, 9, 11, 14, 12, 11, 13, 11, 12

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we use the following formula:

$\text{mean} = \frac{\text{sum of numbers}}{\text{quantity of numbers}}$

Given the data set, we know

$\text{mean} = \frac{15+9+11+14+12+11+13+11+12}{9}$

$\text{mean} = \frac{108}{9}$

$\text{mean} = 12$

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Example Question #164 : Statistics And Probability

Find the mean of the following set of numbers (round to the nearest tenth):

2,4,15,18,20,32

Possible Answers:

15.1

15.3

15.2

Correct answer:

15.2

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

15.2

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Example Question #165 : Statistics And Probability

Find the mean of the following set of numbers (round to the nearest tenth):

3,3,4,4,5,5,6,6

Possible Answers:

4.5

5.5

3.5

Correct answer:

4.5

Explanation:

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

4.5

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Example Question #166 : Statistics And Probability

Find the mean of the following dataset: [1,7,-1,0,0,0]

Possible Answers:

$\frac{7}{6}$

$\frac{7}{5}$

$\frac{6}{7}$

Correct answer:

$\frac{7}{6}$

Explanation:

The mean is the average of all the numbers in the dataset.

Add the numbers.

1+7+(-1)+0+0+0=7

Divide this number by the total numbers in the dataset.

The answer is: $\frac{7}{6}$

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Example Question #169 : How To Find Mean

Find the mean of the dataset: $[3\pi, 3\sqrt3,3]$

Possible Answers:

$\pi+\sqrt6$

$\pi+2$

$\pi+ \sqrt3+1$

$\pi+6$

$\frac{3\pi+2}{3}$

Correct answer:

$\pi+ \sqrt3+1$

Explanation:

In order to find the mean, add all the terms and divide by the number of terms in the dataset. There are three numbers in the dataset.

$\frac{3\pi+ 3\sqrt3+3}{3}$

Notice that we can pull a three out as a common factor on the numerator.

$\frac{3(\pi+ \sqrt3+1)}{3}=\pi+ \sqrt3+1$

The answer is: $\pi+ \sqrt3+1$

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Example Question #170 : How To Find Mean

What is the mean given the following set of numbers? [1,1,2,0,0,0,0,0]

Possible Answers:

$\frac{1}{2}$

$\frac{4}{7}$

0,1

$\frac{3}{8}$

Correct answer:

$\frac{1}{2}$

Explanation:

The mean is the average of all the numbers in the dataset.

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

$\frac{1+1+2+0+0+0+0+0}{8}= \frac{4}{8}=\frac{1}{2}$

The answer is: $\frac{1}{2}$

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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #161 : Statistics And Probability

Example Question #162 : Statistics And Probability

Example Question #163 : How To Find Mean

Example Question #163 : Statistics And Probability

Example Question #165 : How To Find Mean

Example Question #164 : Statistics And Probability

Example Question #165 : Statistics And Probability

Example Question #166 : Statistics And Probability

Example Question #169 : How To Find Mean

Example Question #170 : How To Find Mean

All Algebra 1 Resources

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