All categories

2 years ago

Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

Mathematics

1 answer:

Citrus2011 [14]2 years ago

3 0

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

$x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}$

Hence,

The weighted average of a data set;

$x = \frac{20*3+40*5+50*2}{3 +5+ 2}$

$x = \frac{360}{10} = 36$

Hence, The weighted average of a data set is 36.

Learn more about the weighted average visit:

brainly.com/question/18554478

#SPJ4

You might be interested in

two trains are moving towards each other on the same railroad track. From this track there's an offshot peice of railroad- the l

givi [52]

If the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

Given that two trains are moving towards each other on the same railroad track. From this track there's an offshot peice of railroad- the length of whice is shorter than the length of the train but longer than the length of one train car.

We are required to find how the trains pass each other.

Two cases are there:

For each car in the shorter train

Train A leaves one of its cars on the offshot.
Both trains move until train B car move the car from the offshoot the portion of track away from train A.
Train B moves to allow the cycle to repeat.

We assume that cars can be decoupled at any point in the train,so that any required order of cars can be preserved.We further assume that train can move any one of the A's car in addition to all of them.

The total number of cars lengths that must pass the off shoot is the product of the number of cars in both the trains.So,it does not seems to matter which train makes use of the offshoot.

Hence if the length of whice is shorter than the length of the train but longer than the length of one train car then the train can pass one car at a time.

Learn more about lengths at brainly.com/question/2217700

#SPJ1

8 0

2 years ago

donovan. and three friends go to a fair they each spend 1/2 of their money on rides. then, they each spend $3 on food. at the en

Anvisha [2.4K]

Answer:

Each person spent $10.

Step-by-step explanation:

Let the money spent by each friend = $x

Number of persons including Donovan = 4

Total amount spent by all friends all together = $4x

Since each spent half of their money on rides so amount spent on rides = $\frac{4x}{2}$ = $2x

Then they each spent $3 on food so total money spent = $(2x + 12)

Remaining money = $8

Now the equation will be

$4x - $(2x + 12) = $8

4x - 2x - 12 = 8

2x - 12 = 8

2x = 12 + 8

x = $10

Therefore, each friend spent $10.

6 0

4 years ago

3x + 2y = 14 x + 2y = 6

patriot [66]

Answer:

Step-by-step explanation:

3x+2y=14

x+2y=6

2x=8

x=4

Substitute 4 x in equation 1

3(4)+2y=14

y=1

5 0

3 years ago

Read 2 more answers

if one person reads 278 pages in 7-weeks and another person reads 31 pages each week how many more pages does the first person r

Step2247 [10]

First person reads 9 pages more than other person in one week

Solution:

Given that,

One person reads 278 pages in 7-weeks

Therefore, 7 weeks = 278 pages

To find number of pages read in 1 week, divide 278 by 7

$\text{Number of pages in 1 week } = \frac{278}{7} = 39.71$

So one person reads approximately 40 pages in 1 week

Another person reads 31 pages each week

How many more pages does the first person reads than the second person

So we need to find the difference between them

Difference = 40 - 31 = 9

Thus one person reads 9 pages more than other person in one week

7 0

3 years ago

5x-3y=12 what is the x-intercept

Varvara68 [4.7K]

Your x-intercept is (12/5,0) and your y-intercept is (0,-4)

3 0

4 years ago