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Alborosie
3 years ago
15

NEED HELP ASAP, 40 POINTS THANKS

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

If KE = OS then we can deduce that the trapezoid is constructed of 3 equilateral triangles and thus we can easily work out the angles.

OSK = 60

SKE = 120

KEP = 120

EPO  = 60

We can also easily work out the perimeter since we can deduce that PE = SK = KE and thus the perimeter is 5 * 8 = 40

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28, 45, 12, 34, 36, 45, 19, 20
Alborosie

1) Mean of the set of data: 29.88

2) Mean absolute deviation: 10.13

3) See explanation

Step-by-step explanation:

1)

The mean of a set of data it is calculated as

\bar x = \frac{1}{N}\sum x_i

where

N is the number of data in the set

x_i is the value of each point in the  dataset

For the set of data in this problem, we have:

x_i =[28, 45, 12, 34, 36, 45, 19, 20]

And the number of values is

N = 8

Therefore, we can calculate the mean:

\bar x = \frac{1}{8}(28+ 45+ 12+ 34+ 36+ 45+ 19+ 20)=\frac{239}{8}=29.88

2)

The mean absolute deviation of a set of data is given by

\delta = \frac{1}{N}\sum |x_i-\bar x|

where

N is the number of values in the dataset

x_i are the single values

\bar x is the mean of the dataset

The dataset here is

x_i =[28, 45, 12, 34, 36, 45, 19, 20]

The mean, calculated in part 1), is

\bar x = 29.88

And

N = 8

Therefore the mean absolute deviation is

\delta = \frac{1}{8}(|28-29.88|+|45-29.88|+|12-29.88|+|34-29.88|+|36-29.88|+|45-29.88|+|19-29.88|+|20-29.88|)=\frac{81}{8}=10.13

3)

The mean of a dataset is the sum of the single values of the dataset divided by the number of values. The mean represents the value \bar x for which, if the dataset would have N values all equal to \bar x, the sum of the values of the dataset would be the same as the sum of the actual values.

The mean absolute deviation for a set of data represents the average of the absolute deviations of the single points from the mean of the dataset. This quantity gives a measure of the "dispersion" of the points around the mean: in fact, the larger the mean absolute deviation is, the more the points are "spread" around the mean of the dataset. Instead, if the mean absolute deviation is small, it means that the points are closer to the mean value.

Learn more about mean and spread of a distribution:

brainly.com/question/6073431

brainly.com/question/8799684

brainly.com/question/4625002

#LearnwithBrainly

7 0
3 years ago
How many groups of 10 in 100?
PSYCHO15rus [73]

Answer:

10.

Step-by-step explanation:

You get this answer by doing 10 x 10, which is 100.

10 groups of 10 in 100.

3 0
3 years ago
Read 2 more answers
It took max 5 min to type 410 words. How many words per min does max type?
aalyn [17]

Answer:

82 words per min

Step-by-step explanation:

all you have to do is divide 410 by 5 (410/5)

410/5 = 82



3 0
3 years ago
3. Farmer Brown is growing crops. In his field he has 25 square fe of corn and 25 square feet of wheat. What is the area of Farm
skad [1K]

Answer:

25 x 25= you gey ur answer

Step-by-step explanation:

3 0
3 years ago
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Solve for x. 2.6, 10.4
Liono4ka [1.6K]

Answer:

x=13

Step-by-step explanation:

2.6+10.4=13

8 0
3 years ago
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