To construct a grouped frequency distribution for the given data values with 5 classes, we will follow these steps:

Steps:

1. **Range of the dataTo construct a grouped frequency distribution for the given data values with 5 classes, we will follow these steps:

Steps:

1. **Range of the ** $\text{Range} = \text{Maximum value} - \text{Minimum value} = 99 - 33 = 66$

2. Class width: The formula for class width is: $\text{Class width} = \frac{\text{Range}}{\text{Number of classes}} = \frac{66}{5} \approx 13.2$ We'll round this value up to 14 to ensure the entire range of the data is covered.

3. Class limits: Using a class width of 14, we can determine the lower and upper limits of each class. We'll start the first class with the minimum value of 33.

4. Midpoints: The midpoint for each class is calculated using: $\text{Midpoint} = \frac{\text{Lower class limit} + \text{Upper class limit}}{2}$

5. Frequencies: Count the number of data points that fall within each class interval.

6. Relative frequencies: The relative frequency for each class is calculated as: $\text{Relative frequency} = \frac{\text{Frequency}}{\text{Total number of data points}}$

Data Distribution:

Class Limits	Frequency (f)	Midpoints (x)	Relative Frequency (f/n)
33 - 46	4	39.5	4/30 = 0.133
47 - 60	3	53.5	3/30 = 0.100
61 - 74	5	67.5	5/30 = 0.167
75 - 88	13	81.5	13/30 = 0.433
89 - 102	5	95.5	5/30 = 0.167

Drawing the Relative Frequency Polygon:

To draw the relative frequency polygon, plot the midpoints (39.5, 53.5, 67.5, 81.5, 95.5) on the x-axis and the corresponding relative frequencies on the y-axis. Then connect the points with straight lines.

I can help you with the polygon. Would you like me to draw it for you?