Q10 A set of data has values that vary from 11.6 to 97.8. If these values are grouped into
nine classes. What class interval width did you choose?
a) 20 b) 15 c) 10 d) 5

To determine the class interval width for grouping the data into nine classes, we use the following formula:

\[
\text{Class Interval Width} = \frac{\text{Range of Data}}{\text{Number of Classes}}
\]

1. **Calculate the Range of Data:**

\[
\text{Range} = \text{Maximum Value} - \text{Minimum Value} = 97.8 - 11.6 = 86.2
\]

2. **Determine the Class Interval Width:**

\[
\text{Class Interval Width} = \frac{86.2}{9} \approx 9.58
\]

Since the calculated class interval width is approximately 9.58, the best choice among the options provided is **c) 10**.

Would you like more details or have any questions about this solution? Here are some related questions you might find interesting:

1. How do you calculate the range of a data set?
2. What is the significance of choosing the correct class interval width?
3. How does the number of classes affect the accuracy of a frequency distribution?
4. What are the effects of choosing too wide or too narrow class intervals?
5. How can you determine the number of classes for a given data set?
6. What is a frequency distribution, and why is it useful?
7. How do class intervals affect the shape of a histogram?
8. What are some common methods for determining class interval widths?

**Tip:** When calculating class interval width, always round up to ensure all data values are included within the intervals.

Learn how to calculate the class interval width for grouping data into nine classes using a step-by-step method. This problem involves determining the appropriate interval size based on the range of data values. Suitable for students in Grades 9-12.

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