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).

Patients who undergo chronic hemodialysis often experience severe anxiety. Videotapes of progressive relaxation exercises were shown to one group of patients and neutral videotapes to another group. Then both groups took the State-Trait Anxiety Inventory, a psychiatric questionnaire used to measure anxiety, on which higher scores correspond to higher anxiety. In the paper "The Effectiveness of Progressive Relaxation in Chronic Hemodialysis Patients", R. Alarcon et al. presented the results of the study. The following data give score results for the group that viewed relaxation-exercises videotapes. Use limit grouping with a first class of 12-17 and a class width of 6.

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 to use the limit grouping with a first class of 12-17 and a class width of 6.

As we are grouping by 6s and the shortest value is 14. Our first class is 14-19, that is scores of 14upto and including 19.

The frequency distribution using single-value 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.

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

We can see that the given data is not symmetric.

05

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

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

We can see that the given data is not symmetric.

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