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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #181 : Statistics And Probability

A test was given to a class of students. The average for the class was .Three students scored 100 , two scored , two scored and two scored . What was the score for the remaining one student?

Possible Answers:

Correct answer:

Explanation:

Let the score of the remaining student be .The sum of scores for the nine students is 730 . We know that average score (Here ) is sum of all the scores (Here (730+x) )divided by the total number of scores (Here ). Therefore,

$\frac{730+x}{10}=80$

730+x=800

x=800-730=70

Therefore the remaining one student scored .

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Example Question #182 : Statistics And Probability

A test was given to a class of students. Three students scored 100 , two scored , one scored , two scored and two scored . What was the average score of the class?

Possible Answers:

81.2

Correct answer:

81.2

Explanation:

The average is the sum of all the scores divided by the total number of scores.

Here the sum of all the scores is

100+100+100+90+90+82+75+75+50+50 =812 .

There are students, therefore scores.

$\frac{812}{10}=81.2$

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Example Question #182 : Statistics And Probability

In the following data set that has been arranged in ascending order:

1, 2, 5, x, 10, 15, y, 22, z

The mean is twice the median. Find the mean.

Possible Answers:

Not enough information is given.

Correct answer:

Explanation:

Here if we started to calculate mean by its definition we would get into trouble because we don't know what x,y,z are.

However, we are given that the data set is arranged. Since there are odd number of terms (i.e ), we know that $(\frac{9+1}{2})^{th}$ term is the median.

This is the $5^{th}$ term i.e .

Hence the mean is

2(10)=20

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Example Question #183 : Statistics And Probability

Find the mean of the dataset: [-2.3,2.4,-2.5]

Possible Answers:

0.866

0.733

-0.733

-0.8

0.8

Correct answer:

-0.8

Explanation:

Add the numbers provided.

-2.3+2.4-2.5= -2.4

Divide this number by the total numbers in the dataset.

$\frac{-2.4}{3} = -0.8$

The average is: -0.8

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Example Question #184 : Statistics And Probability

Find the mean: [-2,-9,-6,-8,0,0,1]

Possible Answers:

$-\frac{24}{5}$

$-\frac{24}{7}$

$-\frac{25}{7}$

Correct answer:

$-\frac{24}{7}$

Explanation:

Add all the numbers in the set.

-2+(-9)+(-6)+(-8)+0+0+1=-24

There are a total of seven numbers.

The mean is the average of the dataset. Divide negative by .

The answer is: $-\frac{24}{7}$

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Example Question #181 : How To Find Mean

Find the mean: $[\frac{1}{2}, \pi, 1]$

Possible Answers:

$\frac{\pi+3}{2}$

$\frac{2\pi+3}{5}$

$\frac{\pi+2}{3}$

$\frac{2\pi+3}{6}$

$\frac{\pi+3}{6}$

Correct answer:

$\frac{2\pi+3}{6}$

Explanation:

The mean is the average of all the numbers in the given set.

Add the numbers. Make each number the least common denominator of two.

$\frac{1}{2}+\pi+ 1 = \frac{1}{2}+\frac{2\pi}{2}+\frac{2}{2}$

Add the common terms of the numerator.

$\frac{1}{2}+\frac{2\pi}{2}+\frac{2}{2} = \frac{2\pi+3}{2}$

Since there are three numbers in the dataset, divide the fraction by three. This is the same as multiplying by one-third.

$\frac{2\pi+3}{2}\cdot \frac{1}{3} = \frac{2\pi+3}{6}$

The answer is: $\frac{2\pi+3}{6}$

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Example Question #181 : Statistics And Probability

Find the mean: [3,9,8,1]

Possible Answers:

$\frac{21}{4}$

$\frac{11}{4}$

$\frac{23}{4}$

Correct answer:

$\frac{21}{4}$

Explanation:

The mean is the average of the numbers in the dataset.

Add all the numbers in the set.

3+9+8+1 = 21

Divide this number by four, since there are four numbers in the dataset.

The answer is: $\frac{21}{4}$

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Example Question #182 : Statistics And Probability

Find the mean of the following set of numbers: [1,3,5,9,10]

Possible Answers:

$\frac{18}{5}$

$\frac{27}{5}$

$\frac{28}{5}$

$\frac{11}{2}$

Correct answer:

$\frac{28}{5}$

Explanation:

The mean is the average of all the numbers in the set.

Add all the numbers.

1+3+5+9+10 = 28

Divide this number by the total amount of numbers in the dataset.

The answer is: $\frac{28}{5}$

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Example Question #183 : Statistics And Probability

Find the mean: [13,23,-4]

Possible Answers:

$\frac{22}{3}$

$\frac{32}{3}$

$\frac{29}3$

Correct answer:

$\frac{32}{3}$

Explanation:

The mean is the average of all the number in a given dataset.

Add all the numbers.

13+23+(-4) = 32

Divide the number by the total amount of numbers in the dataset.

The answer is: $\frac{32}{3}$

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Example Question #185 : How To Find Mean

Find the mean: $[\frac{1}{2}, \frac{2}{5}, -\frac{1}{8}]$

Possible Answers:

$\frac{31}{120}$

$\frac{21}{60}$

$\frac{31}{40}$

$\frac{31}{13}$

$\frac{93}{40}$

Correct answer:

$\frac{31}{120}$

Explanation:

The mean is the average of the numbers in the data set.

There are three fractions.

Add the fractions by first finding the least common denominator.

Convert the fractions.

$\frac{1}{2}+ \frac{2}{5}+( -\frac{1}{8}) = \frac{20}{40}+\frac{16}{40}-\frac{5}{40} = \frac{31}{40}$

Dividing by three is similar to multiplying by one-third. Multiply this fraction to find the mean.

$\frac{31}{40} \cdot \frac{1}{3} = \frac{31}{120}$

The answer is: $\frac{31}{120}$

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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 #181 : Statistics And Probability

Example Question #182 : Statistics And Probability

Example Question #182 : Statistics And Probability

Example Question #183 : Statistics And Probability

Example Question #184 : Statistics And Probability

Example Question #181 : How To Find Mean

Example Question #181 : Statistics And Probability

Example Question #182 : Statistics And Probability

Example Question #183 : Statistics And Probability

Example Question #185 : How To Find Mean

All Algebra 1 Resources

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