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The measure of central tendency given as the middle value when the distribution is arrayed from highest to lowest score is the modeSelect one:TrueFalse

Question

The measure of central tendency given as the middle value when the distribution is arrayed from highest to lowest score is the mode

Select one:

  • True
  • False
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Solution

Step 1: Break Down the Problem

The statement mentions a measure of central tendency characterized as the "middle value" when data is arranged in descending order. The task is to determine if this characterization aligns with the definition of the mode.

Step 2: Relevant Concepts

  • Mode: The mode is the value that appears most frequently in a data set.
  • Median: The median is the middle value of the data set when the numbers are arranged in order.
  • Mean: The mean is the average of all values in the data set.

Step 3: Analysis and Detail

  1. The statement claims that the mode is the middle value when data is arranged from highest to lowest.
  2. However, by definition, the mode does not relate to the middle value; rather, it refers to the most frequently occurring score.
  3. The middle value in an ordered data set is called the median, not the mode.

Step 4: Verify and Summarize

Since the mode pertains to frequency and not position in the data set, the assertion that the mode represents the middle value is incorrect.

Final Answer

False - The middle value when arranged in order is the median, not the mode.

This problem has been solved

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