Math Problem Statement
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
Copy Data
Step 1 of 2 :
Determine the midpoint for the fifth class.
Solution
To determine the midpoint for the fifth class, we use the following formula for the midpoint of a class interval:
For the fifth class (9.7–10.5):
- Lower class limit = 9.7
- Upper class limit = 10.5
Now, calculate the midpoint:
Thus, the midpoint for the fifth class is dollars.
Would you like further details on this process, or do you have any other questions?
Here are 5 related questions:
- How do we calculate the midpoint for other classes?
- What is the purpose of finding midpoints in frequency distribution?
- How can we find the mean cost of a book using midpoints and frequencies?
- What is the difference between the midpoint and the class boundary?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Midpoint Calculation
Formulas
Midpoint formula: M = (Lower Class Limit + Upper Class Limit) / 2
Theorems
-
Suitable Grade Level
Grades 9-12
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