Use the specified grouping method to

Part (a): Determine a frequency distribution.

Part (b): Obtain a relative frequency distribution.

Part (c): Construct a frequency histogram based on your result from part (a).

Part (d): Construct a relative frequency histogram based on your result from part (b).

The U.S. Department of Agriculture reports in Food Consumption, Prices and Expenditures that the avrage American consumed about 33.5lbof cheese in 2011. Cheese consumption has increased steadily since 1960, when the average American ate only 8.3lb of cheese annually. The following table provides last year's cheese consumption, in pounds, for 35 randomly selected Americans. Use limit grouping with a first class of 20-22 and a class width of 3.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given question,

02

Part (a) Step 2. Determine a frequency distribution.

We know that the first class is 20-22and the width is 3.

The second class is 23-25.

The highest observation is 46and the last class is 44-46.

The frequency distribution using limit grouping is given below,

03

Part (b) Step 1. Determine the relative-frequency distribution.

The formula of the relative frequency is $Relativefrequency=\frac{Frequency}{Numberofobservations}$.

The relative frequency distribution is given below,

04

Part (c) Step 1. Construct a frequency histogram.

The lower limits of the limit grouping are used to construct the histogram.

On constructing a histogram using part (a) is given below,

It is clear that the height of the bar represents the frequency.

05

Part (d) Step 1. Construct a relative frequency histogram.

On constructing a relative frequency histogram using part (b) is given below,

It is clear that the height of the bar represents the relative frequency.

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