Standard Deviation Lesson

​Standard Deviation Lesson

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Multiple Choice

What is the equation for STANDARD DEVIATION ( $$\sigma$$ )? #10

• $$\sqrt[]{\frac{\sum_{ }^{ }\left(x_i-\overline{x}\right)^2}{N}}$$

• There is no equation for standard deviation

• $$\frac{\sum_{ }^{ }\left(x_i-\overline{x}\right)^2}{N}$$

• $$\frac{\sum_{ }^{ }x_i}{N}$$

Multiple Choice

What is the standard deviation of this distribution? (how far is it from the mean to the first standard deviation line?) #25

• 1010

• 20

• 60

• 40

Multiple Choice

What is the symbol representation for VARIANCE? #11

• There is no equation for variance

• $$\sigma$$

• $$\sigma^2$$

• $$\overline{x}$$

Multiple Choice

Before you can begin calculating the variance, you must first: #26

• find the mean

• find the median

• find the mode

• find the range

Multiple Choice

Once you've calculated the mean, and listed the values in a table, what is the next step to calculating the variance? #27

• Square each value in the data set

• Subtract each value in the data set from the mean

• Subtract the mean from each value in the data set

• Add the mean to each value in the data set

Multiple Choice

How do you calculate the standard deviation? #29

• Divide the variance by 2.

• Its a long process and I can't explain it right now.

• Find the mean and multiply it by the variance.

• Take the square root of the variance.

Multiple Choice

What is the difference between the formulas for population variance and sample variance? #28

• The sample variance is the square root of the population variance.

• The population variance divides the sum of the squares by n-1, while sample divides by N.

• The population variance divides the sum of the squares by N, while sample divides by n-1.

• There is no difference.

Multiple Choice

Calculate the mean. #30

• μ = 10

• μ = 10.5

• x̄ = 10.5

• μ = 11

Multiple Choice

Calculate the sum of the square of the difference. #31

(That is, steps 2, 3, and 4 ... Σ(x - μ)²

• 145.5

• 150

• 12

Multiple Choice

Last step... What is the variance? #32

• 24.25

• 29.1

• 2

• 4.9

Multiple Choice

What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2? #15

• 6.89
• 10.1
• 7.26
• 9

Multiple Choice

What's the mean of the data presented? #7

• 150

• 60

• 240

• 30