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2 years ago

The formula for the standard deviation of a sample is:

Mathematics

1 answer:

timofeeve [1]2 years ago

5 0

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

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There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 m

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Answer:

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Step-by-step explanation:

Here let’s take any arbitrary value for the number of properties sold by Ellen.

Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties

Bob sold 3 more than Ellen, meaning he sold 13.

Carry sold twice of Bob meaning he sold 26

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2 years ago

If f(x)=x-2 which of the following is the inverse of f(x) brainly

Lostsunrise [7]

Answer:

The inverse of f(x) is $f ^ {- 1}(x) = x + 2$

Step-by-step explanation:

To find the inverse of the function $f (x) = x-2$ , perform the following steps:

1) do $y = f (x)$

$y = x-2$

2) Solve the equation for the variable x.

$y + 2 = x -2 +2$

$y + 2 = x$

3) exchange the variable x with the variable y

$y + 2 = x$ ----> $x + 2 = y$

4) Change the variable y by $f ^{- 1}(x)$

Finally the inverse function is:

$f ^ {- 1} (x) = x + 2$

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2 years ago

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lorasvet [3.4K]

Answer:

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Step-by-step explanation:

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2 years ago

Please help me with the equation<br><br> 6+z/10= -2

oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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Colt1911 [192]

Answer:

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Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation = 2x18-5+15/5=32

First we multiply first two letters,

then ( 2 × 18) = 36

Now, we add 5 and 15 then divide it by 5,

So, ( 5 + 15 ) ÷ 5 = 20 ÷ 5 = 4

Now we subtract 4 from 36,

Then 36 - 4 = 32

Hence the correct parentheses = ( 2×8) - [ ( 5 + 15 ) ÷ 5] = 32

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2 years ago