How To Find The Average Of A Group Of Numbers

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If you accept a list of numbers, or a fix, you can use the numbers to find an boilerplate, which is a primal point in the group. In everyday life, you lot might demand to calculate an average to approximate your monthly expenses, find out most how much time it unremarkably takes to accomplish a task, or decide the rough size of a crowd based on previous attendance.

one

Find the sum of the numbers in the fix. The starting time affair you need to do is to add upwards all of the numbers in the ready.^[1] Let's say y'all're working the following set of numbers: 1, 2, 3, and vi. $i+2+3+6=12$ .^[2]
2

Split the result by the corporeality of numbers in the set. There are 4 singled-out numbers in the set. So, accept the sum of the numbers, 12, and split it by 4 to get the average.^[three] $12/four=3$ . The average of the group of numbers is 3.^[iv]

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1
Write down the boilerplate of each category. Apply the method of finding the average -- adding up all of the numbers in the set and dividing the result by the corporeality of numbers -- to find the average of each category.^[5] Let's say you're trying to find your weighted average for a class and you're working with the following averages and weight categories:^[6]
- Homework average = 93%
- Examination boilerplate = 88%
- Quiz boilerplate = 91 %
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Write downward the weight category of each average. Remember that the weight categories should add up to 100%.^[vii] Let's say y'all're working with the following weight categories:
- Homework average = 30 % of last grade
- Exam boilerplate = l % of final form
- Quiz average = twenty % of final class
3

Multiply each average by its weight category. Now, simply catechumen each weight category into a decimal so multiply it by the boilerplate it represents. 30% is really .iii, or iii/10 of the final grade, 50% is really .5, or 1/2 of the total grade, and xx% is actually .ii, or 2/10 of the final grade.^[eight] Now, multiply these decimal-converted weight categories past the averages they stand for.^[nine]
4

Add the results. To detect the final weighted average, just add up the 3 results. $27.9+44+18.2=90.1$ . The final weighted average of the three groups of numbers is $xc.1$ .^[10]

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Question

The average of four numbers is 56. If the average of iii of the numbers is 52, what is the 4th number?

The sum of the four numbers is four x 56. The sum of the 3 numbers is 3 x 52. The difference betwixt the those two sums is the fourth number.
Question

If the average age of three brothers is 15, and two brothers are 15 and 12, how do I find the age of the third blood brother?

15 times 3 equals 45, 12 plus fifteen equals 27, 45 minus 27 equals 18. The third brother's age is 18. Cheque: fifteen plus 12 equals 27, 27 plus 18 equals 45, and 45 divided past 3 equals xv.
Question

How do I discover the average of 4kg, 240g, and 167g?

To find the average, add together all of the numbers in the set up. In your case, 4000, because 1kg+1000g, 4000+240+167 = 4407. Then, considering there are iii numbers, divide by iii 4407/3 = 1469.
Question

If the average of 4 numbers is 72, and two of the numbers are 68 and 70, how practise I find the average of the remaining numbers?

First find the full of the four numbers (72 10 4 = 288). Then observe the total of the two numbers that are given to y'all (68 + 70 = 138). Then detect the full of the two unknown numbers (288 - 138 = 150). Divide that number by ii to find the average of the 2 unknowns: 150 / 2 = 75.
Question

How practice I detect the mean?

In mathematics, "mean" and "average" are the aforementioned matter.
Question

If the average superlative of four flowers is 25 cm, and iii of them average twenty cm alpine, how tall is the fourth bloom?

Let x equal the he height of the fourth flower. For purposes of this solution, y'all can assume that the height of each of the other flowers is 20 (considering their average is 20). So (20 + 20 + 20 + x) ÷ 4 = 25, or (60 + x) ÷ iv = 25. Multiply both sides of the equation by 4: 60 + x = 100, which ways 4 = xl.
Question

The boilerplate age of xx people was 35. A 55-yr-old human was replaced by a 35-year-quondam man. What is the new average?

In the original grouping the total historic period was twenty x 35 = 700 years. The total age of the new group is 700 - 20 = 680 years, because the new fellow member is twenty years younger than the former member. For the average age of the new group, dissever 680 by 20 to get 34.
Question

If I have an boilerplate of unknown numbers and a new number, how practise I calculate the new average? e.yard. average of Z numbers is 52 and new number is 55, new average is (52 ten Z + 55) / (Z + 1) = ?

That formula is correct. Bold you know Z, that formula volition let you lot calculate the new boilerplate.
Question

If 5 girls have an average of 10p, what is the total?

The full is v 10 10p, or 50p.
Question

What are the five numbers with the median of 32 and the mean of 54?

Will Massey

Community Answer

30,31,32,33,144. Yous accept to satisfy the middle number is 32 and other four (two either side) sum to 238. Whatever 4 numbers that practise this will work.

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Article Summary X

To determine an boilerplate, first add together all the numbers in the fix. For instance, if your gear up is one, ii, 3, and 4, you would add all of those numbers together to get ten. Next, count how many numbers are in the set - in this instance, 4. Separate your sum past the amount of numbers in the set up. The result is your respond. Go along reading the article if you desire to learn how to notice a weighted average!

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