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The image you uploaded contains a histogram representing the weight distribution of athletes. We are tasked with calculating an estimate of the number of athletes weighing between 70 and 95 kg.

From the histogram:
- The bar for 70-80 kg has 5 grid squares above the x-axis.
- The bar for 80-90 kg has 6 grid squares above the x-axis.
- The bar for 90-100 kg has 4 grid squares above the x-axis.

Each grid square represents a number of athletes. To determine how many athletes one square represents, we use the information provided: "45 athletes weigh under 60kg." The bars for the range of under 60 kg include 6 grid squares:
- \(45 \text{ athletes} \div 6 \text{ squares} = 7.5 \text{ athletes per square}\).

Calculating for each weight range:
- \(70-80 \text{ kg} = 5 \text{ squares} \times 7.5 \text{ athletes/square} = 37.5 \text{ athletes}\)
- \(80-90 \text{ kg} = 6 \text{ squares} \times 7.5 \text{ athletes/square} = 45 \text{ athletes}\)
- \(90-100 \text{ kg} = 4 \text{ squares} \times 7.5 \text{ athletes/square} = 30 \text{ athletes}\)

Since we need the number of athletes from 70 to 95 kg, we will add up the estimates for the 70-80 kg and 80-90 kg ranges:
- \(37.5 \text{ athletes} + 45 \text{ athletes} = 82.5 \text{ athletes}\).

Thus, approximately 82.5 athletes weigh between 70 and 95 kg. Since we typically cannot have half an individual in such contexts, we might round this estimate to 83 athletes.

Would you like more detailed explanations or have any questions about this analysis?

Here are five related questions you might consider:
1. How would the estimate change if the value of athletes per square were different?
2. What is the total number of athletes represented in the histogram?
3. What are the advantages and limitations of using histograms for data representation?
4. How would the distribution of athlete weights affect the design of sports equipment?
5. How can you calculate the median and mode from a histogram?

**Tip:** Always check the scale and units on the axes of a histogram to correctly interpret the data and avoid common mistakes.

Calculate an estimate of the number of athletes between 70 and 95 kg based on the given histogram, where 45 athletes weigh under 60 kg.

Learn how to estimate the number of athletes weighing between 70 and 95 kg using histogram interpretation. This problem involves calculating athletes per square unit based on 45 athletes weighing under 60 kg and then estimating for higher weight categories. Suitable for students in Grades 7-9.

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