We appreciate your visit to The following data set is a distribution of quiz scores for psychology course 21 34 87 88 89 93 93 96 93 94 94 95. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which measure of central tendency would be least useful in describing the distribution of quiz scores, let's consider each measure:
Mean: The mean, or average, is calculated by adding all the scores together and then dividing by the number of scores. It gives an overall idea of the data's center but can be influenced by extreme values or outliers. However, in this data set, there are no extreme values significantly distorting the mean.
Median: The median is the middle value when the scores are arranged in ascending order. It represents the midpoint and is not affected by outliers. For this data set with 17 scores, the median would be the 9th value (after ordering), which is 94. The median is quite a reliable measure when the data is skewed or has outliers, which doesn't particularly impact this set.
Mode: The mode is the score that appears most frequently. In this data set, the mode is 94 since it appears the most often. The mode can be useful in identifying the most common score, but if the data has multiple peaks or several numbers appearing with the same frequency, its usefulness decreases.
None of the above: This option implies that all suggested measures might be equally useful or not at all.
In this specific example, each measure gives some insight into the data distribution. However, the mode might be the least useful because, although it shows the most frequent score, it does not provide a clear picture if there's a tie or in distributions where frequencies are close, as is somewhat the case here.
Therefore, the chosen answer is: mode.
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