Consider the following frequency table representing the distribution of cost of a paperback book (in dollars).

Cost of a Paperback Book (in Dollars)ClassFrequency

6.1–6.96.1–6.9

1414

7.0–7.87.0–7.8

44

7.9–8.77.9–8.7

1515

8.8–9.68.8–9.6

99

9.7–10.59.7–10.5

1010

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Step 1 of 2 :

Determine the midpoint for the fifth class.

To determine the midpoint for the fifth class, we use the following formula for the midpoint \( M \) of a class interval:

\[
M = \frac{\text{Lower Class Limit} + \text{Upper Class Limit}}{2}
\]

For the fifth class (9.7–10.5):
- Lower class limit = 9.7
- Upper class limit = 10.5

Now, calculate the midpoint:

\[
M = \frac{9.7 + 10.5}{2} = \frac{20.2}{2} = 10.1
\]

Thus, the midpoint for the fifth class is \( 10.1 \) dollars.

Would you like further details on this process, or do you have any other questions?

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Here are 5 related questions:
1. How do we calculate the midpoint for other classes?
2. What is the purpose of finding midpoints in frequency distribution?
3. How can we find the mean cost of a book using midpoints and frequencies?
4. What is the difference between the midpoint and the class boundary?
5. How does the width of a class interval affect the midpoint?

**Tip:** Always double-check that you're adding the correct class limits when calculating midpoints to avoid errors.

Determine the midpoint for the fifth class in the frequency table of paperback book costs, where the fifth class interval is 9.7–10.5.

Learn how to calculate the midpoint for a class interval in a frequency distribution. This example uses the cost of paperback books with a fifth class interval of 9.7–10.5. Understand key statistical concepts such as midpoints and class limits. Suitable for students in Grades 9-12.

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