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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1531 : Algebra 1

Refer to the following set of numbers:

49, 51, 52, 52, 56, 57, 57, 57, 63

Find the mean of the set.

Possible Answers:

53.6

55.6

54.9

Correct answer:

54.9

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.

$\frac{49+51+52+52+56+57+57+57+63}{9}=\frac{494}{9}=54.9$

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Example Question #1532 : Algebra 1

Refer to the following set of numbers:

24,27,29,43,44,44,51,53,62,77,88

Find the mean of the set.

Possible Answers:

42.9

46.7

54.2

49.3

Correct answer:

49.3

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.

$\frac{24+27+29+43+44+44+51+53+62+77+88}{11}=\frac{273}{11}=49.3$

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Example Question #107 : Statistics And Probability

Find the mean of the following data set:

10, 15, 14, 26, 38, 11, 5, 2, 77

Possible Answers:

24.75

19.8

Correct answer:

Explanation:

In order to find the mean for any data set, one must find the sum of all the values in the data set and then divide this sum by the number of values. Adding all of our values:

10+15+14+26+38+11+5+2+77 = 198

We then take this value and divide by , the number of data points.

$\frac{198}{9} = 22$ .

Hence, our mean is .

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Example Question #108 : Statistics And Probability

Sarah has different piggy banks, and each bank has a different number of coins inside. The number of coins in each bank are as follows: 32, 12, 45, 24, 27 . What is the mean number of coins that Sarah has in each of her banks?

Possible Answers:

Correct answer:

Explanation:

In order to find the mean of a set of numbers, we need to follow two steps:

Step 1 - First, we need to find the sum of all of the numbers in the set. For this problem, that means we need to add together the number of coins in each of the piggy banks:

32 + 12+ 45 + 24 + 27 = 140

So, there are 140 coins total in Sarah's piggy banks.

Step 2 - Next, we need to divide the sum that we got in Step 1 by the total amount of numbers in the set. We added together different numbers in Step 1, so the amount of numbers in the set is .

$\frac{140}{5} = 28$

So, the mean is . This means that there is an average of coins in each one of Sarah's piggy banks.

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Example Question #110 : Statistics And Probability

A sample of students got scores of 57,81,89,98, and 100 . What is the mean of these scores?

Possible Answers:

425

Correct answer:

Explanation:

The mean is simply the average of the five scores, which we find by adding the scores together and dividing by the number of students:

57+81+89+98+100=425

425/5=85

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Example Question #1533 : Algebra 1

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

Possible Answers:

$\frac{19}{3}$

$\frac{58}{3}$

$\frac{58}{2}$

$\frac{37}{5}$

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 #1534 : Algebra 1

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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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1531 : Algebra 1

Example Question #1532 : Algebra 1

Example Question #107 : Statistics And Probability

Example Question #108 : Statistics And Probability

Example Question #110 : Statistics And Probability

Example Question #1533 : Algebra 1

Example Question #111 : Statistics And Probability

Example Question #1534 : Algebra 1

Example Question #113 : Statistics And Probability

Example Question #112 : How To Find Mean

All Algebra 1 Resources

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