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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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 #94 : How To Find Mean

What is the mean of 12,11,20 ?

Possible Answers:

$\frac{55}{3}$

$\frac{54}{3}$

$\frac{63}{3}$

$\frac{53}{3}$

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 #95 : How To Find Mean

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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Example Question #1521 : Algebra 1

Find the mean of the following set of numbers:

10,-5,34,-16,4,-23,6

Possible Answers:

$\frac{10}{7}$

Correct answer:

$\frac{10}{7}$

Explanation:

The mean is the average, which is the sum of all the numbers divided by the number of values.

$mean=\frac{10-5+34-16+4-23+6}{7}=\frac{10}7{}$

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Example Question #102 : Statistics And Probability

Which answer shows the mean, median, mode, and range of the data set.

3, 8, 2, 12, 14, 7, 3, 22, 12, 28, 6, 3, 10

Possible Answers:

10, 8, 3, 22

10, 8, 3, 7

10, 22, 3, 7

10, 8, 3, 26

11, 8, 3, 7

Correct answer:

10, 8, 3, 26

Explanation:

Mean = Numbers added together divided by how many numbers there are.

Median = Middle number when put in order from least to greatest.

Mode = Most occurring number.

Range = Highest minus lowest number.

2, 3, 3, 3, 6, 7, 8, 10, 12, 12, 14, 22, 28

Added together the data set equals 130. There are 13 numbers.

$\frac{130}{13}= 10$

Mean = 10

Middle number when least to greatest is .

Median =

Most occurring number is .

Mode =

Highest - Lowest number equals: 28 - 2 =26 .

Range =

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Example Question #103 : Statistics And Probability

Jill is an all-star forward in hockey. She is the leading goal scorer on her team. She scored games in her first game, goals in her second game, goals in her third game and goals in her last game. What is the average number of goals that she scored in all of her games combined?

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers combined.

To get the answer you would add the goals in each game together then divide by the total number of games.

So, $\frac{3+3+2+4}{4}=3$

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Example Question #103 : Statistics And Probability

Possible Answers:

Correct answer:

Explanation:

The mean of an equation is also referred to as the average. So to solve this question all you need to do is add the total number of goals together and divide it by the number of games.

So, $\frac{(3+3+2+4)}{4}=3$

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Example Question #1522 : Algebra 1

Refer to the following set of numbers:

23, 24, 24, 24, 26, 27, 29, 29, 31, 36

What is the mean of the set?

Possible Answers:

27.3

28.2

26.8

27.9

Correct answer:

27.3

Explanation:

In order to find the mean of the set, we find its average. Do this by adding up all of the numbers in the set, then dividing that answer by the amount of numbers in the set.

$\frac{23+24+24+24+26+27+29+29+31+36}{10}=\frac{273}{10}=27.3$

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #96 : Statistics And Probability

Example Question #96 : Statistics And Probability

Example Question #97 : Statistics And Probability

Example Question #94 : How To Find Mean

Example Question #95 : How To Find Mean

Example Question #1521 : Algebra 1

Example Question #102 : Statistics And Probability

Example Question #103 : Statistics And Probability

Example Question #103 : Statistics And Probability

Example Question #1522 : Algebra 1

All Algebra 1 Resources

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