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Solution Steps

The histogram represents the cumulative frequency of car ages. The x-axis represents the car age in years, and the y-axis represents the number of cars.

• 5-7 years: Approximately 1 car
• 7-9 years: Approximately 2 cars (cumulative 3)
• 9-11 years: Approximately 2 cars (cumulative 5)
• 11-13 years: Approximately 4 cars (cumulative 9)
• 13-15 years: Approximately 6 cars (cumulative 15)
• 15-16 years: Approximately 8 cars (cumulative 23)

The total number of cars is approximately 23.

To calculate the mean, we need to find the midpoint of each age range and multiply it by the number of cars in that range. Then, we sum these products and divide by the total number of cars.

• 5-7: Midpoint = 6, \(6 \times 1 = 6\)
• 7-9: Midpoint = 8, \(8 \times 2 = 16\)
• 9-11: Midpoint = 10, \(10 \times 2 = 20\)
• 11-13: Midpoint = 12, \(12 \times 4 = 48\)
• 13-15: Midpoint = 14, \(14 \times 6 = 84\)
• 15-16: Midpoint = 15.5, \(15.5 \times 8 = 124\)

Sum of the products: \(6 + 16 + 20 + 48 + 84 + 124 = 298\)

Mean = \(\frac{298}{23} \approx 12.96\)

Final Answer