All categories

3 years ago

The data below show the weights, in pounds, of a group of professional football players.

Mathematics

1 answer:

monitta3 years ago

3 0

Answer:

The Mean Absolute Deviation is 11

Step-by-step explanation:

Given:

325, 310, 289, 288, 285, 285, 285, 280, 280 and 273

Mean = 290

Required:

Calculate the Mean Absolute Deviation

Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation

Step 1: Subtract the mean weight from each weight

325 - 290 = 35

310 - 290 = 20

289 - 290 = -1

288 - 290 = -2

285 - 290 = -5

280 - 290 = -10

273 - 290 = -17

Step 2: Calculate the absolute value of the each results above

|35| = 35

|20| = 20

|-1| = 1

|-2| = 2

|-5| = 5

|-10| = 10

|-17| = 17

Step 3: Calculate the mean of the data above

Mean Absolute Value = $\frac{35 + 20 + 1 + 2 + 5 + 5 + 5 + 10 + 10 + 17}{10}$

Mean Absolute Value = $\frac{110}{10}$

Mean Absolute Value = 11

Hence, the Mean Absolute Deviation is 11

You might be interested in

Zina goes shopping. She buys in the same store two scarves and three T-shirts for

Umnica [9.8K]

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

6 0

3 years ago

I don't know what the answer is to divide 180 in a ratio of 4:5:9

Karolina [17]

Hello there,

First you need to add together the numbers.
4+5+9 = 18
Divide the total by this,
180 / 18 = 10
Multiply each number by 10.
40:50:90.

Hope This Helps You!
Good Luck Studying :)

4 0

3 years ago

Read 2 more answers

Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

Bess [88]

Answer B.
$- 3 {x}^{2} (5x - 4 {x}^{2} - 6) \\ = - 15 {x}^{3} + 12 {x}^{4} + 18 {x}^{2} \\ = 12 {x}^{4} - 15 {x}^{3} + 18 {x}^{2}$

8 0

3 years ago

Read 2 more answers

Randy is deciding which cell phone plan is the best deal for him to buy. Super Cell charges a monthly fee of $15 and also charge

svp [43]

Answer:

Step-by-step explanation:

Add the monthly fee $15 and the amount of times he called.

$15 + 0.05C = M

Hoped it helped you

7 0

4 years ago

What is the exact value for the expression the square root of 189. − the square root of 21. + the square root of 84.? Simplify i

klemol [59]

<span>It's 4 the square root of 21</span>

7 0

3 years ago