Introduction to Standard Deviation and Dot Plots Directions Open a web browser a

Question

Introduction to Standard Deviation and Dot Plots Directions Open a web browser and go to the web address below (the website is linked in Blackboard). https://www.khanacademy.org/math/probability/descriptive-statistics/variance_std_deviation/e/exploring_standard_deviation_1 The orange dots represent sample data values. When two data values are the same, they stack one on top of the other to show frequency as a height. You can click and drag the orange dots to change the values and see the impact that has on the sample mean (x ) and sample standard deviation (s). Answer the following questions. Don’t click the Check Answer button until after you’ve answered the questions on this handout.

Without dragging points, imagine the two distributions below:

a. x=1.5, s=1

b. s=1.5, s = 3   

What is the difference between how these two distributions would look? Drag points around to confirm your prediction.

Now, look at the following dot plot.

Without doing calculations predict the sample mean: ____________________________

Which of the following best matches the dot plot? Circle the correct one.

mean = 11, mean = 11,

standard deviations = 6.3 standard deviation = 1.7

Explanation / Answer

the standard deviation will be more if the point are far and the standard deviation will be less if the points are near .

so for x=1.5 ,s=3 the distribution is scattered

for x=1.5 s=1 the distribution will be closer

mean will be 0.2

mean =11

standard deviation =6.3 is best match

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