Use frequency distribution formulas to estimate the sample mean and the sample standard deviation of the data

Question:

Use frequency distribution formulas to estimate the sample mean and the sample standard deviation of the data set in Exercise 2.


Data from exercise 2:

The data set represents the numbers of movies that a sample of 20 people watched in a year.

121 88 221 106 18 67 92 154 53 66 148 94 142 170 28 60 101 149 134 168


(a) Construct a frequency distribution for the data set using six classes.
Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies.

(b) Display the data using a frequency histogram and a frequency polygon on the same axes.

(c) Display the data using a relative frequency histogram.

(d) Describe the shape of the distribution as symmetric, uniform, skewed left, skewed right, or none of these.

(e) Display the data using an ogive.

Distribution
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