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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 #116 : Statistics And Probability

If Sally, Max, Alice, Alex, and Damien have scores of 63, 49, 82, 97 and , respectively, on the last homework assignment, what is their average?

Possible Answers:

78.3

77.8

389

79.7

72.75

Correct answer:

77.8

Explanation:

Average is another way of describing mean. The mean represents the "central" value of a set of numbers. This is achieved by summing the numbers of a set and dividing it by the number of numbers in the set.

In this problem, we are given five scores. In order to begin this problem, we must take the sum of these scores.

63+49+82+97+98=389

Now in order to find the mean, we must divide this number by the number of scores.

$\frac{389}{5}$

$={\color{Blue} 77.8}$

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Example Question #112 : How To Find Mean

Find the mean of the following numbers:

10, 11, 9, 12, 6, 6

Possible Answers:

Correct answer:

Explanation:

The mean, or average, of a set of numbers is found by using the following formula.

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

We get

$\text{mean} = \frac{10+11+ 9+12+6+ 6}{6}$

$\text{mean} = \frac{54}{6}$

$\text{mean} = 9$

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Example Question #1541 : Algebra 1

Find the mean of the following data set.(Round to the nearest whole number)

1,6,47,93,12,43,36,45,12

Possible Answers:

Correct answer:

Explanation:

Find the mean of the following data set.(Round to the nearest whole number)

1,6,47,93,12,43,36,45,12

To find the mean, add up all the terms and then divide by the total number of terms.

In this case, we have 9 terms, so we get...

$\mu =\frac{1+6+47+93+12+43+36+45+12}{9}=\frac{295}{9}=32.77\bar{7}\approx33$

So our answer is 33.

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Example Question #1542 : Algebra 1

Find the mean of the following values:

41, 85, 37, 84, 73

Possible Answers:

Correct answer:

Explanation:

The mean is the average of the 5 numbers, so:

$\left ( 41+85+37+84+73\right )÷5=64$

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Example Question #1543 : Algebra 1

Find the mean of the following set of numbers:

1,3,4,7,10,13,16,17,19

Possible Answers:

none

Correct answer:

Explanation:

To solve, you must sum up the numbers and divide by the quantity. Thus,

$mean=\frac{1+3+4+7+10+13+16+17+19}{9}=10$

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Example Question #121 : Statistics And Probability

You have spent money each month to ride the bus. You know in the last 6 months you have spent the following for each month:

$\$33.80, \$38.50, \$29.45, \$40.20, \$35.10, \$22.80$

You are interested to know what your average spending on busfare is and want to calculate the mean. Find the mean of your monthly bus ride expenses.

Possible Answers:

$\$27.32$

$\$52.11$

$\$32.20$

$\$33.31$

Correct answer:

$\$33.31$

Explanation:

To find the mean, you are finding the average of a set of values. The equation to find the mean is

$\overline{x}=\frac{\sum_{i=1}^{n}x_{i}}{n}$

where $x_{i}$ is one of the values you are averaging, and is the total number of data points. To make that equation look less intimidating, let's just put it into terms of our six data points. We are adding up all six of them and dividing by the total number of data points,

$\overline{x}=\frac{\left (x_{1}+x_{2}+x_{3}+x_{4}+x_{5}+x_{6} \right )}{6}$

$\overline{x}=\frac{\left (\$33.80+ \$38.50+ \$29.45+ \$40.20+ \$35.10+ \$22.80 \right )}{6}$

$\overline{x}=\frac{\$199.85}{6}$

$\overline{x}=\$33.3083 \approx \$33.31$

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Example Question #291 : Basic Arithmetic

Find the mean of the following set of numbers:

12,34,65,76,12,34,54,789,98,2,44,34

Possible Answers:

104.5

787

Correct answer:

104.5

Explanation:

Find the mean of the following set of numbers:

12,34,65,76,12,34,54,789,98,2,44,34

Finding the mean of a number set is essentially finding the average.

Begin by summing the numbers, then divide by the total number of terms.

12+34+65+76+12+34+54+789+98+2+44+34=1254

Now, since there are 12 terms in the series, divide by 12

$\frac{1254}{12}=104.5$

So our mean is 104.5

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Example Question #122 : Statistics And Probability

A groups of students were studying the beak sizes of soapberry bugs. They collected data on the lengths of their beaks. What is the average of their number set?

6.3mm,6.7mm,5.4mm,5.2mm,6.1mm,5.7mm,6.6mm,6.5mm,5.8mm,5.9mm

Possible Answers:

6.0mm

5.3mm

5.7mm

5.8mm

5.0mm

Correct answer:

6.0mm

Explanation:

In this problem, we are given five scores. In order to begin this problem, we must take the sum of the lengths.

6.3+6.7+5.4+5.2+6.1+5.7+6.6+6.5+5.8+5.9=60.2

Now in order to find the mean, we must divide this number by the number of measurements.

$\frac{60.2}{10}$

$={\color{Blue} 6.02 \approx 6.0}$

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Example Question #123 : Statistics And Probability

Find the mean of the following number set:

147,22,465,7,33,465,88,97,102,22,1,109,465

You may round to the nearest whole number.

Possible Answers:

156

464

106

Correct answer:

156

Explanation:

Find the mean of the following number set:

147,22,465,7,33,465,88,97,102,22,1,109,465

The mean is the same thing as the average. To find the average of a set of numbers, add them up and then divide by the total number of items in the series.

Now, there are 13 terms, so we need to divide by 13.

$\frac{2023}{13}\approx =155.6\approx156$

So our answer is 156

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Example Question #124 : Statistics And Probability

What is the mean given the following set? $x=[\frac{1}{2}, \frac{1}{4}, \frac{1}{6}]$

Possible Answers:

$\frac{11}{36}$

$\frac{11}{12}$

$\frac{1}{4}$

$\frac{4}{11}$

$\frac{11}{4}$

Correct answer:

$\frac{11}{36}$

Explanation:

To find the mean, add all the numbers in the set and divide by the total numbers in the set.

Convert $\frac{1}{2}+\frac{1}{4}+\frac{1}{6}$ to a common denominator and then add to find the total.

$\frac{1}{2}+\frac{1}{4}+\frac{1}{6} = \frac{6}{12}+\frac{3}{12}+\frac{2}{12} = \frac{11}{12}$

Dividing this sum by three is the same as multiplying the sum by one third.

$\frac{11}{12} \div 3 = \frac{11}{12}\times \frac{1}{3} = \frac{11}{36}$

The average is $\frac{11}{36}$ .

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #116 : Statistics And Probability

Example Question #112 : How To Find Mean

Example Question #1541 : Algebra 1

Example Question #1542 : Algebra 1

Example Question #1543 : Algebra 1

Example Question #121 : Statistics And Probability

Example Question #291 : Basic Arithmetic

Example Question #122 : Statistics And Probability

Example Question #123 : Statistics And Probability

Example Question #124 : Statistics And Probability

All Algebra 1 Resources

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