QQuestionStatistics
QuestionStatistics
"What is the class midpoint Xm, and how do you find it?
A) X m is the sum of all data points divided by the number of data points.
B) Xm is the middle point of a frequency distribution class.
C) Xm is the mean of the lower and upper class limits.
D) Xm is the mode of the data set."
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Answer
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Step 1: Understand the definitions of the class midpoint (Xm) and the options given.
The class midpoint (Xm) is the value that represents the center of a class interval in a frequency distribution. It is calculated as the average of the lower and upper class limits. Let's analyze the options: A) The sum of all data points divided by the number of data points is the definition of the mean, not the class midpoint. B) This is the correct definition of the class midpoint. It is the middle point of a frequency distribution class. C) While the class midpoint does consider the class limits, it is not the mean of the lower and upper class limits. D) The mode is the most frequently occurring value in a data set, not the class midpoint.
Step 2: Calculate the class midpoint (Xm) using the correct definition.
Xm = (Lower class limit + Upper class limit) / 2
Final Answer
In the example provided, Xm for the class [20, 30) is 25.
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