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Question
find class boundaries, midpoint, and width for the class.
42 - 46
part: 0 / 3
part 1 of 3
the class boundaries for the class are 11.5 - 46.5.
Step1: Find lower class boundary
To find the lower class boundary, we take the lower limit of the class (42) and subtract 0.5. So, $42 - 0.5 = 41.5$.
Step2: Find upper class boundary
To find the upper class boundary, we take the upper limit of the class (46) and add 0.5. So, $46 + 0.5 = 46.5$.
Step3: Find midpoint
The formula for the midpoint of a class is $\frac{\text{Lower limit} + \text{Upper limit}}{2}$. Substituting the values, we get $\frac{42 + 46}{2} = \frac{88}{2} = 44$.
Step4: Find class width
The class width is the difference between the upper class boundary and the lower class boundary. So, $46.5 - 41.5 = 5$.
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- Class boundaries: $41.5 - 46.5$
- Midpoint: $44$
- Class width: $5$