How do you know that the dot plot represents the data set in Part 1?
The dot plot includes a dot for each data point in the set.
What are some other ways you could represent this data set?
A histogram or a box plot.
Based on the dot plot, what can you say about the shape of the data set?
It is symmetrical.
What measure(s) of center can you use to describe this distribution?
Mean or median.
How can you find the median of this distribution? What is the median?
Since the distribution is symmetrical, the median is the middle line of the box plot. The value of the median is 6.
How can you calculate the mean? What is the mean?
Add all of the data points and divide by the number of data points. The mean is approximately 5.6
What measures of variability can you use to describe this distribution?
Range, interquartile range (IQR), and mean average deviation (MAD).
What is the IQR? How do you know?
3; the first quartile is 4 and the third quartile is 7.
Look at the expression in Part 2. Subtract the numbers in each set of parentheses and square the differences. What does the expression look like now?
Simplify the fraction under the radical sign. What does the expression look like now?
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