For the data set 6, 5, 10, 11, 13, the mean, X, is 9. What is the standard
deviation?

standard deviation = 3.0331

Step-by-step explanation:

You can solve for this two different ways.

If you have a TI-84 calculator or something similar, type all the data into list 1. Then click the stat button, then the calc button, then 1-vars stats. This will give you mean, standard deviation, median, mode, etc.

If you are solving by hand, find the different between each data point and the mean. Square these numbers and find the average. Then take the square root of that.

3^2 + 4^2 + 1^2 + 2^2 + 4^2 = 46

46/5 = 9.2

square root of 9.2 = 3.0331

Hope this is helpful :)

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

d. vertex

step-by-step explanation: