Algebra II - Mean | Practice Hub

Determine the mean of the numbers:

$\textup{The mean cannot be determined.}$

Explanation

Add all the numbers.

The mean is the average of all the numbers, which means dividing this number by five will give the average.

$\frac{160}{5} =32$

The answer is:

Determine the mean of the numbers: $[\frac{1}{3},3%, \frac{1}{30}]$

$\frac{119}{900}$

$\frac{119}{300}$

$\frac{1}{30}$

$\frac{19}{30}$

$\frac{19}{90}$

Explanation

The mean is the average of all the numbers. Convert the percentage to a fraction by removing the percentage and divide the number by 100.

$[\frac{1}{3},3%, \frac{1}{30}]\rightarrow[\frac{1}{3}, \frac{3}{100},\frac{1}{30}]$

Convert all fractions to a common denominator. Write out the factors for the denominators.

The common denominator is 300.

$\frac{1}{3}+ \frac{3}{100}+\frac{1}{30}= \frac{1(100)}{3(100)}+ \frac{3(3)}{100(3)}+\frac{1(10)}{30(10)}$

Simplify the fractions.

$\frac{100}{300}+\frac{9}{300}+\frac{10}{300} = \frac{119}{300}$

There are three numbers in the data set. Divide the fraction by three.

$\frac{ \frac{119}{300}}{3}= \frac{119}{300} \div 3 = \frac{119}{300}\times \frac{1}{3} = \frac{119}{900}$

The answer is: $\frac{119}{900}$

Determine the mean of the data set: $[\frac{2}{5}, \frac{1}{3}, \frac{7}{4},-2]$

$\frac{29}{240}$

$\frac{269}{240}$

$\frac{37}{120}$

$\frac{47}{120}$

$\frac{59}{240}$

Explanation

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

Add all the numbers. To add the fractions, we will need to find the least common denominator.

Multiply all the denominators together.

$5\times 3\times 4 = 60$

Convert all the numbers with a denominator of 60. What is multiplied on the bottom must be multiplied on the top as well.

$\frac{2}{5}+\frac{1}{3}+ \frac{7}{4}+(-2) = \frac{2(4)(3)}{5(4)(3)}+\frac{1(4)(5)}{3(4)(5)}+\frac{7(3)(5)}{4(3)(5)}-\frac{2(4)(3)(5)}{1(4)(3)(5)}$

Simplify all the fractions.

$\frac{24}{60}+\frac{20}{60}+\frac{105}{60}-\frac{120}{60} = \frac{29}{60}$

Divide this fraction by four to find the mean. Dividing by four is the same as multiplying by one-fourth.

$\frac{29}{60}\times \frac{1}{4} = \frac{29}{240}$

The answer is: $\frac{29}{240}$

Reginald has scores of {87, 79, 95, 91} on the first four exams in his Spanish class. What is the minimum score he must get on the fifth exam to get an A (90 or higher) for his final grade?

Explanation

To find the fifth score, we need to set the average of all of the scores equal to 90.

$\frac{(87+79+95+91+x)}{5}=90$

$\frac{(352+x)}{5}=90$

Multiply both sides of the equation by 5.

Subtract 352 from both sides of equation.

Determine the mean of the numbers:

$\frac{49}{6}$

$\frac{49}{5}$

$\frac{11}{2}$

$\frac{46}{5}$

$\frac{17}{3}$

Explanation

The mean is the sum of all the numbers in the data set over the total amount of numbers given.

Add the numbers.

Divide this number by six since there are 6 numbers.

The answer is: $\frac{49}{6}$

What is the mean of the following set of numbers?

Explanation

The mean is the average of all of the numbers, so

and

$\frac{20}{5} = 4$ .

Solve for the mean:

$\frac{17}{4}$

$\frac{17}{2}$

$\frac{17}{8}$

$\frac{17}{3}$

$\frac{11}{2}$

Explanation

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

Add all the numbers.

Divide this number by the total amount of numbers in the data set.

$\frac{34}{8}$

Reduce this fraction.

The answer is: $\frac{17}{4}$

Determine the mean:

$\frac{12}{7}$

$\frac{18}{7}$

$\textup{There is no mean.}$

Explanation

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

Add the numbers and divide the quantity by seven.

$\frac{1+(-9)+3+0+8+4+5}{7} = \frac{12}{7}$

The answer is: $\frac{12}{7}$

If the mean of the following set is 12, what is ?

(1,14,3,15,16,,21,10)

Explanation

Since we are given the mean, we need to find the sum of the numbers. From there we can figure out . We know

$\text{mean}= \frac{\text{sum of observations}}{\text{number of observations}}$

We can use this to find the sum by plugging in

$12=\frac{\text{Total Sum}}{8}$

So our sum is 96.

So we know that our total sum minus the sum of the given numbers is equal to .

So, .

Find the mean of the dataset:

$\frac{13}{2}$

$-\frac{13}{2}$

$-\frac{5}{2}$

Explanation

Add all the numbers and divide by the number of numbers in the dataset. There are four numbers in this dataset.

$\frac{3+(-9)+6+(-8)}{4}$

Simplify the numerator.

$\frac{-6+6-8}{4} = \frac{-8}{4} =-2$

The answer is .

Mean

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