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2 years ago

Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31

Mathematics

2 answers:

Juliette [100K]2 years ago

8 0

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

balandron [24]2 years ago

5 0

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2

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Is -4x+8y=24 and y=1\2x+7 perpendicular, parallel, or neither

Ugo [173]

-4x + 8y = 24 is equal to y=(1/2) + 3
so that would be parallel to y=(1/2)+7
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3 years ago

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AlekseyPX

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3 years ago

Read 2 more answers

Associations In Data:Question 10

Karo-lina-s [1.5K]

Answer:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

$|68-78.9| = 10.9$

$|72-78.9| = 6.9$

$|79-78.9| = 0.1$

$|80-78.9| = 1.1$

$|83-78.9| = 4.1$

$|93-78.9| = 14.1$

$|94-78.9| = 15.1$

$|95-78.9| = 16.1$

$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

10.12

Step-by-step explanation:

We have the following data given:

62 63 68 72 79 80 83 93 94 95

And we need to begin finding the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{62+63+68+72+79+80+83+93+94+95}{10}= 78.9$

Now we can find the mean absolute deviation like this:

$|62-78.9| = 16.9$

$|63-78.9| = 15.9$

$|68-78.9| = 10.9$

$|72-78.9| = 6.9$

$|79-78.9| = 0.1$

$|80-78.9| = 1.1$

$|83-78.9| = 4.1$

$|93-78.9| = 14.1$

$|94-78.9| = 15.1$

$|95-78.9| = 16.1$

And finally we can find the mean abslute deviation with the following formula:

$MAD = \frac{\sum_{i=1}^n |X_i -\bar X|}{n}$

And replacing we got:

$MAD =\frac{16.9+15.9+10.9+6.9+0.1+1.1+4.1+14.1+15.1+16.1}{10}= 10.12$

And the best anwer is

10.12

8 0

3 years ago

At a schools field day, students will throw table tennis balls then measure the distance. There are 626 students in the school.

qaws [65]

Answer: 105 packs

Step-by-step explanation: The correct answer is 105 packs of table tennis balls. You need a total of 626 balls, so you divide this by 6 because that is what a standard package contains. The formula is 626/6 = 104.3. You will need 104 packs plus .3 of a pack, which means that you need to round it up to 105 packs of table tennis balls.

4 0

3 years ago

A fish tank is in the shape of a cuboid.

zalisa [80]

Answer:

Length = 0.8m

Breadth = 0.3m

Volume = 108litres = 108÷1000 = 0.108m³

Volume = l x b x h

0.108 = 0.8 x 0.3 x h

0.108 ÷ ( 0.8 x 0.3 ) = h

0.45 = h

6 0

3 years ago