Winston-Salem/Forsyth County Schools
1. Go to or fisherhistogram
Click on all of the boxes.
2. Investigate what happens as you change the histogram (spend about 3 minutes)
3. Put the following numbers in: 3,5,6,6,7,7,7,7,8,8,9,10,11
Notice the mean, median, IQR, and standard deviation.
4. Add four more “11’s” to the data.
What happened to the
a) mean, b) median, c) standard deviation, d) IQR
e) skewness when you added the 11’s?.
5. Look at the box plot and report how you know that it is skewed.
6. Now move everything to ‘0’. Make 6,6,6, 7,7,7,8,8,8.
How does the standard deviation compare to the beginning standard deviation?
7. Now add 2 ‘1’s’ to the data.
What happened to the a) mean, b) median, c) IQR, and d) standard deviation?
8. How is the data skewed now? How does the boxplot represent that?
9. Reset all numbers to 0. Now make the following data on your histogram: 2,2,2,8,8,8,8.
Note the mean, median, IQR, standard deviation and range
10. Now increase each data point by 2. In other words, make the data points 4,4,4,10,10,10,10.
Describe what happened to the mean, median, IQR, and standard deviation
when you increased everything by 2.
11. Now put 7,7,7 into the data.
What happened to the a) mean b) median c) IQR and d) standard deviation?
12. Complete the following statements:
Something with a high standard deviation will have a _________ IQR.
Data with little variance will have a __________ standard deviation and ______ IQR (use low or high)
13. If you add 5 to each of the data points then _________ and ________ will change but _______ and _________ will remain the same.
14. Which of the following is most likely to have the higher standard deviation:
A. 1st 50 Odd numbers.
B. 1st 50 Even numbers
C. 1st 50 Integers
D. 1st 50 Prime numbers
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