Description

Provide a set of 20 data points that has a mean of 20, a median of 25, an IQR of 10, and a sample standard deviation between 9 and 12. All data points must be positive. Explain in detail the plan you made and used to create the data set, any challenges you had, and how you handled them.

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(7 marks: 2 for data, 5 for explanations)

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The next 7 questions refer to the following data set. Even if you create your graphs using technology, show any relevant calculations that would need to be made.

Age of residents in a neighbourhood

26 45 27 50 40 52 12 28 48 52

14 20 32 9 36 10 36 51 42 1

30 21 40 37 13 35 57 47 42 53

What is the percentile of the data point 40 in the data set?

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(4 marks)

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Find the mean, median, and mode of the data set. Explain the method you used.

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(5 marks)

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What is the sample standard deviation of the data set?

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(2 marks)

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Use IQR and the standard deviation to determine if there are any outliers in the data set.

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(7 marks)