1. **State the problem:** We are given a frequency histogram of employee salaries and need to answer four parts: (a) number of classes, (b) greatest and least frequencies, (c) class width, and (d) describe any patterns in the data. 2. **Determine the number of classes:** The histogram shows 6 bars, each representing a class interval of salaries. 3. **Estimate the greatest and least frequencies:** From the histogram, the approximate frequencies are 50, 150, 270, 200, 120, and 80. - Greatest frequency is about $270$. - Least frequency is about $50$. 4. **Determine the class width:** The salary classes are labeled at 32, 37, 42, 47, 52, 57, and 62 (in thousands). - Class width = difference between consecutive class boundaries = $37 - 32 = 5$ (thousands of dollars). 5. **Describe any patterns:** The frequencies increase from the first class to the third class, peak at the third class, then decrease steadily through the remaining classes. This suggests a unimodal distribution with a peak around the $42$-$47$ thousand salary range. **Final answers:** (a) Number of classes = $6$ (b) Greatest frequency = $270$, Least frequency = $50$ (c) Class width = $5$ (d) Pattern: Frequencies rise to a peak at the third class and then decline, indicating a unimodal distribution centered near $42$-$47$ thousand dollars.