Standard Deviation Calculation

Standard deviation is another way to measure how spread out data values are. The simulator below has 12 points. Use it to answer the questions below and see how standard deviation is calculated.

Play with the points and move the position. The standard deviation is calculated below. Look at the "Variance" fraction. The first number on top related to the point A and the second to B. How?

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A
The number that is squared is the mean.
B
The number that is squared is the x value of the point.
C
The number that is squared is the difference of the x value of the point and the mean.
D
The number that is squared is the y value of the point.

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Which best describes how the variance is calculated?

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A
Add up the square of the mean for each point and divide by the number of points.
B
Add of the squares of the distance of each point to the mean and divide by the number of points.
C
Add up the square of the x value of each point and divide by the number of points.
D
Add up the distance of each point to the mean and divide by the number of points.

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Move the points. What is the smallest possible standard deviation?

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A
-1
B
1
C
0
D
0.5

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Move all the points but keep them between 0 and 10 (including 0 and 10) What is the largest possible standard deviation?

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A
3
B
4
C
5
D
6

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Standard Deviation Calculation

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