Which of the following is not a measure of central tendency?Group of answer choicesModeRangeMeanMedian
Question
Which of the following is not a measure of central tendency?
- Mode
- Range
- Mean
- Median
Solution
Step 1: Break Down the Problem
We need to identify which of the given options is not a measure of central tendency. The options provided are:
- Mode
- Range
- Mean
- Median
Step 2: Relevant Concepts
- Mean: The average of a data set, calculated by summing all data points and dividing by the number of points.
- Median: The middle value in a data set when the values are arranged in ascending order.
- Mode: The value that appears most frequently in a data set.
- Range: The difference between the maximum and minimum values in a data set.
Step 3: Analysis and Detail
Measures of central tendency refer to the center point or typical value of a dataset. The mode, mean, and median are all considered measures of central tendency because they summarize a set of values with a single representative value.
However, range describes the spread of values, not a central point. Thus, range does not qualify as a measure of central tendency.
Step 4: Verify and Summarize
By examining the definitions:
- Mode: Central tendency
- Mean: Central tendency
- Median: Central tendency
- Range: Not central tendency
Final Answer
Range is not a measure of central tendency.
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