Questions: The heights (in inches) for a sample of 18 male adults are 62, 82, 79, 76, 73, 70, 67, 64, 69, 69, 69, 66, 66, 66, 63, 63, 60, 60 Draw the histogram for these data using an initial class boundary of 59.5, an ending class boundary of 84.5, and 5 classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints. Frequency Height (in inches) Explanation Check

Solution Steps

The range is the difference between the highest and lowest values in the dataset. In this case, the highest value is 82 and the lowest value is 60. Therefore, the range is 82 - 60 = 22.

The problem states there are 5 classes of equal width. The total width must cover the entire range of values, plus encompass the starting and ending boundaries of 59.5 and 84.5 respectively. The range of these boundaries is 84.5 - 59.5 = 25. Divide this by the number of classes to find the class width: 25 / 5 = 5.

The initial class boundary is given as 59.5. Add the class width of 5 repeatedly to find the subsequent boundaries:

• Class 1: 59.5 - 64.5
• Class 2: 64.5 - 69.5
• Class 3: 69.5 - 74.5
• Class 4: 74.5 - 79.5
• Class 5: 79.5 - 84.5

Final Answer