1. The problem provides a frequency distribution table showing the number of restaurants corresponding to ranges of employees. 2. The table is: | Number of employees | Number of restaurants | |---------------------|-----------------------| | 2 to 7 | 2 | | 8 to 13 | 4 | | 14 to 19 | 2 | | 20 to 25 | 7 | | 26 to 31 | 2 | 3. This data can be used to analyze the distribution of restaurants by employee count. 4. For example, to find the total number of restaurants, sum the counts: $$2 + 4 + 2 + 7 + 2 = 17$$ 5. To find the midpoint of each employee range (useful for calculations like mean): - For 2 to 7: $\frac{2 + 7}{2} = 4.5$ - For 8 to 13: $\frac{8 + 13}{2} = 10.5$ - For 14 to 19: $\frac{14 + 19}{2} = 16.5$ - For 20 to 25: $\frac{20 + 25}{2} = 22.5$ - For 26 to 31: $\frac{26 + 31}{2} = 28.5$ 6. These midpoints can be multiplied by the number of restaurants to estimate total employees: $$4.5 \times 2 + 10.5 \times 4 + 16.5 \times 2 + 22.5 \times 7 + 28.5 \times 2$$ 7. Calculate each term: $$9 + 42 + 33 + 157.5 + 57 = 298.5$$ 8. The estimated average number of employees per restaurant is: $$\frac{298.5}{17} \approx 17.56$$ This means on average, each restaurant has about 17.56 employees based on the grouped data.