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).

From the TVbytheNumbers website, we obtain the viewing audiences, in millions, for the top 20 primetime broadcast TV shows for the week ending August 18,2013. Use cutpoint grouping with a first class of 4-under 5.

Short Answer

Expert verified

Part (a): A frequency distribution is given below,


Part (b): A relative-frequency distribution is given below,


Part (c): On constructing a histogram using part (a), we get,


Part (d): On constructing a relative frequency histogram using part (b), we get,

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 4-5and the width of the class interval is 1.

The second class is 5-under 6.

The highest observation is 10.36and the last class is 10-under 11.

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=FrequencyNumberofobservations.

The relative frequency distribution is given below,

04

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

The cutpoints represent the horizontal line while constructing 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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