Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

varsity tutors app store varsity tutors android store

Example Questions

Example Question #18 : Mean

Find the mean for the following set of numbers: 

\displaystyle -98\displaystyle -52\displaystyle -15, and \displaystyle 23

Possible Answers:

\displaystyle -12.5

\displaystyle -35.5

\displaystyle 2.5

\displaystyle -37.1

Correct answer:

\displaystyle -35.5

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{(-98)+(-52)+(-15)+23}{4}

\displaystyle \text{Mean}=\frac{(-165)+23}{4}

\displaystyle \text{Mean}=\frac{(-142)}{4}

\displaystyle \text{Mean}=-35.5

Example Question #71 : Statistics And Probability

Find the mean for the following set of numbers: 

\displaystyle 4x\displaystyle 5x\displaystyle 8x, and \displaystyle 12x

Possible Answers:

\displaystyle 8.5x

\displaystyle 9.25x

\displaystyle 6.5x

\displaystyle 7.25x

Correct answer:

\displaystyle 7.25x

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{4x+5x+8x+12x}{4}

\displaystyle \text{Mean}=\frac{29x}{4}

\displaystyle \text{Mean}=7.25x

Example Question #71 : How To Find Mean

Find the mean for the following set of numbers: 

\displaystyle 5y\displaystyle 10y\displaystyle 8y, and \displaystyle -2y

Possible Answers:

\displaystyle 5.25y

\displaystyle 5y

\displaystyle 5.5y

\displaystyle 4.25y

Correct answer:

\displaystyle 5.25y

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{5y+10y+8y+(-2y)}{4}

\displaystyle \text{Mean}=\frac{23y+(-2y)}{4}

\displaystyle \text{Mean}=\frac{21y}{4}

\displaystyle \text{Mean}=5.25y

Example Question #71 : How To Find Mean

Find the mean for the following set of numbers:

\displaystyle 16a\displaystyle 58a\displaystyle -80a\displaystyle 3a, and \displaystyle 9a

 

Possible Answers:

\displaystyle 1.6a

\displaystyle 2.8a

\displaystyle -0.8a

\displaystyle 1.2a

Correct answer:

\displaystyle 1.2a

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{16a+58a+(-80a)+3a+9a}{5}

\displaystyle \text{Mean}=\frac{86a+(-80a)}{5}

\displaystyle \text{Mean}=\frac{6a}{5}

\displaystyle \text{Mean}=1.2a

Example Question #71 : How To Find Mean

Find the mean for the following set of numbers:

\displaystyle 5\displaystyle 48\displaystyle -9\displaystyle -8\displaystyle -8, and \displaystyle 14

Possible Answers:

\displaystyle 8

\displaystyle 7

\displaystyle 10

\displaystyle 6

Correct answer:

\displaystyle 7

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{5+48+(-9)+(-8)+(-8)+14}{6}

\displaystyle \text{Mean}=\frac{67+(-25)}{6}

\displaystyle \text{Mean}=\frac{42}{6}

\displaystyle \text{Mean}=7

Example Question #76 : Statistics And Probability

Find the mean for the following set of numbers: 

\displaystyle -3c\displaystyle 5c\displaystyle 6c\displaystyle 6c\displaystyle 8c, and \displaystyle 8c

Possible Answers:

\displaystyle 6c

\displaystyle 5c

\displaystyle 4c

\displaystyle 7c

Correct answer:

\displaystyle 5c

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{(-3c)+5c+6c+6c+8c+8c}{6}

\displaystyle \text{Mean}=\frac{33c+(-3c)}{6}

\displaystyle \text{Mean}=\frac{30c}{6}

\displaystyle \text{Mean}=5c

Example Question #77 : Statistics And Probability

Find the mean for the following set of numbers:

\displaystyle -45n\displaystyle 6n\displaystyle 8n\displaystyle 15n\displaystyle 15n\displaystyle 6n, and \displaystyle 2n

Possible Answers:

\displaystyle n

\displaystyle 12n

\displaystyle -n

\displaystyle 2n

Correct answer:

\displaystyle n

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{(-45n)+6n+8n+15n+15n+6n+2n}{7}

\displaystyle \text{Mean}=\frac{52n+(-45n)}{7}

\displaystyle \text{Mean}=\frac{7n}{7}

\displaystyle \text{Mean}=n

Example Question #73 : Statistics And Probability

Find the mean for the following set of numbers: 

\displaystyle -10\displaystyle 50\displaystyle 6, and \displaystyle 78

Possible Answers:

\displaystyle 36

\displaystyle 31

\displaystyle 37

\displaystyle 29

Correct answer:

\displaystyle 31

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{(-10)+50+6+78}{4}

 

\displaystyle \text{Mean}=\frac{134+(-10)}{4}

\displaystyle \text{Mean}=\frac{124}{4}

\displaystyle \text{Mean}=31

Example Question #71 : How To Find Mean

Find the mean for the following set of numbers: 

\displaystyle -100\displaystyle 45, and \displaystyle 55

Possible Answers:

\displaystyle 35

\displaystyle 15

\displaystyle 0

\displaystyle -30

Correct answer:

\displaystyle 0

Explanation:

The mean is the same as the average. To find the mean, use the following formula:

\displaystyle \text{Mean}=\frac{\text{Sum of all values}}{\text{Number of values}}

\displaystyle \text{Mean}=\frac{(-100)+45+55}{3}

\displaystyle \text{Mean}=\frac{0}{3}

\displaystyle \text{Mean}=0

Example Question #71 : How To Find Mean

Consider the following set of numbers:

\displaystyle 25, 27, 36, 32, 41, 22, 28, 33, 44, 51, 37, 32

Find the mean of the set.

Possible Answers:

\displaystyle 34

\displaystyle 34.7

\displaystyle 34.2

\displaystyle 33.8

Correct answer:

\displaystyle 34

Explanation:

To find the mean of a set of numbers, we add all of the numbers together and then divide by the number of numbers in the set:

\displaystyle 25+27+36+32+41+22+28+33+44+51+37+32=408

\displaystyle \frac{408}{12}=34

From this we find that the mean of the set is 34.

Learning Tools by Varsity Tutors