Which of the following is NOT a measure of central tendency?A. The most frequently occurring value in a set of data.B. The z-score.C. The middle number of an ordered array when the sample size is an odd number.D. The arithmetic average of a set of data.
Question
Which of the following is NOT a measure of central tendency?A. The most frequently occurring value in a set of data.B. The z-score.C. The middle number of an ordered array when the sample size is an odd number.D. The arithmetic average of a set of data.
Solution
The measure that is NOT a measure of central tendency is B. The z-score.
Step 1: Understand what a measure of central tendency is. A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. These measures indicate where most values in a distribution fall and are also referred to as the central location of a distribution.
Step 2: Review each option and determine if it fits the definition of a measure of central tendency.
A. The most frequently occurring value in a set of data. This is a measure of central tendency known as the mode.
C. The middle number of an ordered array when the sample size is an odd number. This is a measure of central tendency known as the median.
D. The arithmetic average of a set of data. This is a measure of central tendency known as the mean.
B. The z-score. The z-score is not a measure of central tendency. Instead, it is a measure of how many standard deviations an element is from the mean. Therefore, option B is the correct answer.
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