1. a) Follow the instructions in the applet to fill out the 1st graphs then answer the following question: What is the impact of the new point on the standard deviation?
The new point has made the standard deviation to go up to over 2.07
b) Follow the instructions to create the next two graphs then answer the following question: What did you do differently to create the data set with the larger standard deviation.
What I did differently was to have two outliners on both ends of the outline so I can create the larger standard deviation and also to keep the mean at five.
2. Go back to the applet and put points matching each of the following data set into the first graph of the applet and clear the other two graphs. Set the lower limit to 0 and the upper limit to 100.
50, 50, 50, 50, 50
Notice that the standard deviation is 0. Explain why the standard deviation for this one is zero. Don’t show just the calculation. Explain in words why the standard deviation is zero when all of the points are the same.
There’s not a deviation from this sample because all the data points are equal to each other.
3. Go back to the applet one last time and set all 3 of the lower limits to 0 and upper limits to 100. Then put each of the following three data sets into one of the graphs.
Data set 1:
0, 25, 50, 75, 100
Data set 2:
30, 40, 50, 60, 70
Data set 3:
40, 45, 50, 55, 60
Note that all three data sets have a median of 50. Notice how spread out the points are in each data set and compare this to the standard deviations for the data sets. Describe the relationship you see between the amount of spread and the size of the standard deviation and explain why this connection exists. Don’t just calculate the standard deviations—explain in words.
The data sets have the width and sum of 250/5=50. In the first data set, the points are 25 points apart. In the second data set the points are 10 points apart...
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