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Based on the histogram above, what is the class width?

Class width =

What is the sample size?

To determine the class width and sample size from the histogram based on the given information, we follow these steps:

### 1. Class Width
The class width is the difference between the lower boundaries (or the upper boundaries) of consecutive classes. 

From the information provided:
- The first class is from 1 to 4
- The second class is from 4 to 7
- The third class is from 7 to 10, and so on.

To find the class width, subtract the lower boundary of the first class from the lower boundary of the second class:
\[ \text{Class width} = 4 - 1 = 3 \]

### 2. Sample Size
The sample size is the total frequency, which is the sum of all the frequencies for each class.

The frequencies provided (as per the rectangles' heights) are:
- First class (1 to 4): Frequency = 7
- Second class (4 to 7): Frequency = 9
- Third class (7 to 10): Frequency = 3
- Fourth class (10 to 13): Frequency = 2
- Fifth class (13 to 16): Frequency = 4
- Sixth class (16 to 19): Frequency = 6

Adding these frequencies gives the total sample size:
\[ \text{Sample size} = 7 + 9 + 3 + 2 + 4 + 6 = 31 \]

### Final Answers:
- **Class width = 3**
- **Sample size = 31**

Do you want more details or have any questions?

### Related Questions:
1. How would the histogram look if the class width were 5 instead of 3?
2. What would happen to the sample size if one of the frequencies increased by 5?
3. How do you interpret the shape of this histogram in terms of data distribution?
4. How can you determine the mode from this histogram?
5. How would you calculate the relative frequency for each class in this histogram?

### Tip:
When interpreting histograms, always start by identifying the class intervals and their frequencies; this will help you quickly understand the distribution of your data.

Based on the histogram above, what is the class width? What is the sample size?

Learn how to determine the class width and sample size from a histogram. This problem involves key statistical concepts such as frequency distribution and histogram analysis. Suitable for students in Grades 6-8.

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