How alike or different are the data values from each other?
They are pretty similar, they all have quite similar values of central tendency. The biggest difference in these three data sets is that the thrid set's data is more spread out that the first and second's data.
Which data values occur more frequently or less frequently?
Some data values that occur more frequently than others are 7, 7.5, and 8, and this is the cause for the mean to be 7.5. There are some data values that occur less frequently, such as 1.5 and 4, and they are outliers.
How spread out or close together are the data values in relation to each other?
I would say that the first set and the second set of data values are pretty close together, with the exception of the 1 on the second set, and the third set of data values are very spread out. The reason the thrid set is more spread out is that the thrid set has an outlier, 4, that messes up the data. There is also another outlier, 1.5, in the second data set, which made the data seem more spread out.
How spread out or close together are the data values in relation to a measure of center?
The measure of center for all the three data sets are about 7.5 and 8. However, the data isn't that close to it. Yes, there are a lot of students with the shoe sizes of 7.5 and 8, but there are way more students with shoe sizes of 6 and 9.
What do you infer about the shoe sizes of 7th graders?
I infer that the average shoe size in 7th grade is 7.5
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