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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #111 : Statistics And Probability

Find the mean given the following dataset: b =[9, 15,34]

Possible Answers:

$\frac{19}{3}$

$\frac{37}{5}$

$\frac{58}{3}$

$\frac{58}{2}$

Correct answer:

$\frac{58}{3}$

Explanation:

In order to find the mean, or the average, we will need to sum all the numbers in the set and divide the quantity by the number of numbers in the set.

$\frac{9+15+34}{3}$

Add the numerator.

$\frac{9+15+34}{3} = \frac{58}{3}$

This fraction cannot be simplified any futher.

The average is: $\frac{58}{3}$

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Example Question #111 : Statistics And Probability

A group of 7th graders took a Mathematics exam. The exam was worth a total of 100 points. These are the scores:

67, 89, 95, 72, 91, 70

Find the mean score rounded to the nearest whole percent.

Possible Answers:

$72\%$

$77\%$

$81\%$

$95\%$

$80\%$

Correct answer:

$81\%$

Explanation:

To find the mean (or average), use the following formula:

$\text{mean} = \frac{\text{sum of all scores}}{\text{number (or quantity) of scores}}$

So, by substituting, we get

$\text{mean} = \frac{67+89+95+72+91+70}{6}$

$\text{mean} = \frac{484}{6}$

$\text{mean} = 80.666...$

The mean rounded to the nearest whole percent is $81\%$ .

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Example Question #112 : Statistics And Probability

Find the mean.

12, 17, 18, 4, 19

Possible Answers:

Correct answer:

Explanation:

To find the mean, we add all the numbers and divide by the how many numbers are in the set.

$\frac{12+17+18+4+19}{5}=\frac{70}{5}=14$

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Example Question #113 : Statistics And Probability

If Joe scored an average of on English exams, what's the minimum score he can get on his fifth exam in order to increase his average to an ?

Possible Answers:

Correct answer:

Explanation:

So for exams, he wants an average of . That means, the total number of points of his exams has to be 5*83 or 415 . As of now, his average is an for the first four exams meaning his total points is 4*81 or 324 . This would mean the score he has to get to get the average he wants is 415-324 or .

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Example Question #112 : How To Find Mean

A class has a sum of test scores of 3,871 . There are people in the class. What is the class average?

Possible Answers:

0.0108

1.08

92.2

110.6

Cannot be determined

Correct answer:

92.2

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, the sum of all the scores is already provided. Because there are students, we can assume that 3,871 is the sum of scores. Therefore, all we need to do is divide the sum by the number of scores.

$\frac{3871}{42}$

$=92.1667 \approx {\color{Blue} 92.2}$

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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:

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 #114 : Statistics And Probability

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 #115 : Statistics And Probability

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 #116 : Statistics And Probability

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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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #111 : Statistics And Probability

Example Question #111 : Statistics And Probability

Example Question #112 : Statistics And Probability

Example Question #113 : Statistics And Probability

Example Question #112 : How To Find Mean

Example Question #116 : Statistics And Probability

Example Question #112 : How To Find Mean

Example Question #114 : Statistics And Probability

Example Question #115 : Statistics And Probability

Example Question #116 : Statistics And Probability

All Algebra 1 Resources

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