How to find mean - Algebra

Card 0 of 1827

Question

Find the mean of the following numbers:

150, 88, 141, 110, 79

Answer

The mean is the average. The mean can be found by taking the sum of all the numbers (150 + 88 + 141 + 110 + 79 = 568) and then dividing the sum by how many numbers there are (5).

$mean=\frac{150+88+141+110+79}{5}=\frac{568}{5}=113\frac{3}{5}$

Our answer is 113 3/5, which can be written as a decimal.

$\frac{3}{5}*\frac{2}{2}=\frac{6}{10}=0.6$

Therefore 113 3/5 is equivalent to 113.6, which is our answer.

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Question

If you roll a fair die six million times, what is the average expected number that you roll?

Answer

The outcomes from rolling a die are {1,2,3,4,5,6}.

The mean is (1+2+3+4+5+6)/6 = 3.5.

Rolling the die six million times simply suggests that each number will appear approximately one million times. Since each number is rolled with equal probability, it doesn't matter how many times you perform the experiment; the answer will always remain the same.

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Question

Find the mean of the following set of numbers:

Answer

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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Question

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?

Answer

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.

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Question

What is the mean of the following numbers?

88,99,31,47,68,27

Answer

To find the mean you add all of the numbers together and divide it by the amount of numbers. In this case there are six numbers so $\frac{(88+99+31+47+68+27)}{6}=\frac{360}{6}$

The answer is .

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Question

Refer to the following set of numbers:

Find the mean of the set.

Answer

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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Question

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

Answer

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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Question

Find the mean of the following set of numbers (round to the nearest tenth):

Answer

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

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Question

Find the mean of the following set of numbers (round to the nearest tenth):

Answer

To calculate the mean of any set of n numbers, add each of the numbers together, then divide the sum by n.

The best answer is:

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Question

Find the mean of the following set of numbers (round to the nearest tenth):

Answer

The best answer is:

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Question

Consider the following set:

Find the mean of the set.

Answer

To find the mean of a set of numbers, we add all of the numbers together and then divide by the number of numbers in the set:

$\frac{153}{11}=13.9$

From this we can find that the mean is 13.9

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Question

The mean of the following set is 8. What is ?

$\left { 10,5,12,6x+3,4 \right }$

Answer

Let .

We know the mean is 8, and there are five values in the set, including the unknown .

$mean=\frac{10+5+12+y+4}{5}=8$

$\left ( 10+5+12+y+4 )= \left ( 8* 5\right )$

Simplify.

Plug back into equation at top.

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Question

What is the mean of 44, 22, 134, and 200?

Answer

To find the mean, you must add all of the numbers together and divide by the amount of numbers. In this case there are four numbers so, we must deivide the total sum by 4.

$\frac{22+44+134+200}{4}=\frac{400}{4}= 100$

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Question

Calculate the mean of the following numbers: 11, 13, 16, 13, 14, 19, 13, 13

Answer

First, calculate the sum of all of the numbers.

$\small 11+13+16+13+14+19+13+13=112$

Next, divide by the total number.

$\small \frac{112}{8}=14$

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Question

The above chart shows a specific week of work at an advertising firm. What is the mean hourly rate of the female staff members?

Answer

$Mean=\frac{Sum\ of\ Options}{Number\ of\ Options}$

$Mean=\frac{\left ( 20+15+30+40+30+40\right )}{6}=\frac{175}{6}=\$29.17$

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Question

Find the mean of this number set: 2, 5, 6, 7, 7, 3

Answer

The numbers add up to 30. To find the mean, divide by the number of numbers (6) and you get a mean of 5. Mean is a fancy way of saying average.

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Question

The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.

Answer

We can treat this as if the entire class had exactly 86% as their average, so the new average is:

$\frac{(86\cdot 15)+100}{16}=86.875$

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Question

Sally's algebra grade depends on three unit tests and a final exam. The grade for the final exam is weighted to equal the grade of two unit tests. What is the minimum grade that Sally must get on her final exam in order to have a class average of or above for the course, if her unit test scores are , , and

Answer

The course grade average is calculated by using Sally's three test scores and final exam. student must score at least an average of ; therefore we can write the following:

$\textup{Course average}\geq 90%$

Given that the average is calculated using three test scores and a final weighted as two regular tests, we can write the following equation.

$\textup{Course average}=\frac{test_1+test_2+test_3+2(final)}{5}$

Let's use these equations to construct an inequality where we will substitute in our known values and let a variable, , equal the final score needed to earn an a or above.

$90%\leq \frac{95%+88%+85%+2(x)}{5}$

$90%\leq \frac{268% +2x}{5}$

$450%\leq 268%+2x$

$182%\leq 2x$

$x \geq 91%$

Sally needs to at least score a on the final to score or above.

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Question

$\textup{If Peter has }\$30\textup{, Paul has }\$40\textup{, and Mary has }\$80,$

$\textup{what is the mean (average) amount of money that each has?}$

Answer

$\textup{The mean, or average, is the sum of all terms divided by the number of terms.}$

$\frac{30+40+80}{3}=50$

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Question

$\textup{The average of }a\textup{, }b\textup{, and }c\textup{ is 10.}$

$\textup{If }a=6\textup{ and }b=9\textup{, what is the value of }c\textup{?}$

Answer

$\textup{Average is the sum of all terms divided by the number of terms.}$

$\frac{a+b+c}{3}=10$

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