Find the variance and standard deviation of the given set of data to the nearest tenth.{440, 130, 280, 500, 150, 640, 760}


A) variance = 222.7, standard deviation = 49,595.9

B) variance = 49,595.9, standard deviation = 24,798

C) variance = 49,595.9, standard deviation = 222.7

D) variance = 57,861.9, standard deviation = 240.5

Answers

Answer 1
Answer:

Answer:

Part 1) variance = 49,595.9

Part 2) standard deviation = 222.7

Option C

Step-by-step explanation:

we have

set of data [440,130,280,500,150,640,760]

step 1  

Find the mean  

Adds the values and divide by the number of values

In this problem the number of values is 7

[440+130+280+500+150+640+760]/7

[2,900]/7=414.3

step 2  

for each number: subtract the Mean and square the result  

(440-414.3)^(2)=660.49\n (130-414.3)^(2)= 80,826.49\n (280-414.3)^(2)= 18,036.49\n (500-414.3)^(2)= 7,344.49\n (150-414.3)^(2)= 69,854.49\n (640-414.3)^(2)= 50,940.49\n (760-414.3)^(2)=119,508.49

step 3  

work out the mean of those squared differences  

[660.49+80,826.49+18,036.49+7,344.49+69,854.49+50,940.49+119,508.49]/7=347,171.43/7=49,595.9 ----> this value is called the "Variance"  

step 4

The standard deviation is the square root of the variance

so

The standard deviation is equal to

√(49,595.9)=222.7


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Answer:

b

Step-by-step explanation:

because they are asking for twice the sum which equals 2 and then the unknown numbers are x

your answer would be x=2

What plus what equals 800 in three different ways

Answers

The given expression are just three examples of the many possiblecombinations that can add up to 800.

To find three different ways in which two numbers can be added to equal 800, we can explore different combinations. Here are three examples:

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In this combination, the numbers 600 and 200 are added together to equal 800.

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3. Combination 3:

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In this combination, the numbers 350 and 450 are added together to equal 800.

The key is to find two numbers whose sum equals 800. You can experiment with different pairs of numbers and add them together to find other valid combinations.

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There are 800 different ways to do this.

Here are some:

800 + 0 = 800
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500 + 300 = 800
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798 + 2 = 800

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Answers


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Answers

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