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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #91 : Statistics And Probability

What is the mean of 6,9,12 and ?

Possible Answers:

$\frac{25}{2}$

$\frac{21}{2}$

$\frac{23}{2}$

Correct answer:

$\frac{21}{2}$

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{6+9+12+15}{4}$

$=\frac{30+12}{4}$

$=\frac{42}{4}$

$=\frac{21}{2}$

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Example Question #92 : Statistics And Probability

What is the mean of 4,-4,6, and ?

Possible Answers:

$-\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{4}$

$-\frac{1}{2}$

Correct answer:

$-\frac{1}{4}$

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{4+(-4)+6+(-7)}{4}$

$=\frac{6-7}{4}$

$=-\frac{1}{4}$

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Example Question #93 : Statistics And Probability

What is the mean of 2,4,6,8 and ?

Possible Answers:

Correct answer:

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{2+4+6+8+10}{5}$

$=\frac{10+10+10}{5}$

$=\frac{30}{5}$

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Example Question #92 : Statistics And Probability

Consider the following set of numbers:

61, 65, 68, 71, 72, 72, 72, 74, 79, 82, 86, 88, 88

Find the mean of the set.

Possible Answers:

75.89

74.65

75.23

77.51

Correct answer:

75.23

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:

61+65+68+71+72+72+72+74+79+82+86+88+88= 978

$\frac{978}{13}=75.23$

From this we can find that the mean of the set is 75.23.

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Example Question #93 : Statistics And Probability

What is the mean of 1, 2, 4, and 6?

Possible Answers:

$\frac{9}{2}$

$\frac{13}{4}$

$\frac{3}{2}$

Correct answer:

$\frac{13}{4}$

Explanation:

The mean is the average of the set of numbers. Add all the numbers given and divide the quantity by the total amount of numbers.

$m=\frac{1+2+4+6}{4} = \frac{13}{4}$

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Example Question #96 : Statistics And Probability

The following data set shows the amount of rainfall each day for a week in June:

$2.5\:\uptext{cm}, 0\:\uptext{cm}, 0.2\:\uptexet{cm}, 0\:\uptext{cm}, 3\:\uptext{cm}, 3.1\:\uptext{cm}, 1.8\:\uptext{cm}$

Find the mean rainfall per day for this week in June. Round your answer to one decimal place.

Possible Answers:

$0.8\:\uptext{cm}$

$1.8\:\uptext{cm}$

$2.1\:\uptext{cm}$

$0\:\uptext{cm}$

$1.5\:\uptext{cm}$

Correct answer:

$1.5\:\uptext{cm}$

Explanation:

To find the mean, we find the sum of all data points and then divide by the number of data points, which in our example is . Don't forget to include zeros in the total number of data points, because even though they do not increase or decrease the sum, they are still points that must be accounted for to find the mean of the set.

$2.5\:\uptext{cm} + 0\:\uptext{cm} + 0.2\:\uptext{cm} + 0\:\uptext{cm} + 3\:\uptext{cm} + 3.1\:\uptext{cm} + 1.8\:\uptext{cm} = 10.6\:\uptext{cm}$

$10.6\:\uptext{ cm} \div 7 = 1.5\:\uptext{ cm}$

Therefore, the mean rainfall per day for this week was $1.5\:\uptext{ cm}$

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Example Question #96 : Statistics And Probability

What is the mean of 2,5,4 and ?

Possible Answers:

2.5

Correct answer:

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{2+5+4+(-3)}{4}$

$=\frac{11-3}{4}$

$=\frac{8}{4}$

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Example Question #97 : Statistics And Probability

What is the mean of 1,-1,-2,2,6 ?

Possible Answers:

$-\frac{6}{5}$

$\frac{6}{5}$

Correct answer:

$\frac{6}{5}$

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{1+(-1)+2+(-2)+6}{5}$

$=\frac{6}{5}$

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Example Question #98 : Statistics And Probability

What is the mean of 12,11,20 ?

Possible Answers:

$\frac{54}{3}$

$\frac{53}{3}$

$\frac{63}{3}$

$\frac{55}{3}$

Correct answer:

$\frac{53}{3}$

Explanation:

In order to find the mean of a set of numbers, we divide the sum of the numbers by the amount of numbers in the set. Since we have numbers in the set, we can calculate the mean as the following:

$\frac{12+11+20}{3}$

$=\frac{33+20}{3}$

$=\frac{53}{3}$

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Example Question #99 : Statistics And Probability

Find the mean of the following numbers:

14,23,65,47,2,108,65

Possible Answers:

46.3

Correct answer:

46.3

Explanation:

Find the mean of the following numbers:

14,23,65,47,2,108,65

Recall that mean generally means the same thing as average. To average numbers out, add them up and divide by the total number of entries.

In this case, we have 7 entries.

14+23+65+47+2+108+65=324

Then, we need to do the following to get our answer:

$\frac{324}{7}=46.285\approx46.3$

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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 #91 : Statistics And Probability

Example Question #92 : Statistics And Probability

Example Question #93 : Statistics And Probability

Example Question #92 : Statistics And Probability

Example Question #93 : Statistics And Probability

Example Question #96 : Statistics And Probability

Example Question #96 : Statistics And Probability

Example Question #97 : Statistics And Probability

Example Question #98 : Statistics And Probability

Example Question #99 : Statistics And Probability

All Algebra 1 Resources

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