QuestionIdentify the statement that is NOT TRUE about why the median is preferred over the mean:
1. It is more useful in inferential statistics.
2. It is the average score.
3. It is more accurate in skewed distributions.
4. It is a better measure of variation.
Studdy Solution
STEP 1
Assumptions1. We are comparing the properties of the median and the mean. . We are considering the usefulness, accuracy, and measurement of variation of the median and the mean.
STEP 2
Let's analyze each statement one by one.Firstly, "it is more useful than the mean in inferential statistics". This can be true in some cases. The median is often preferred in inferential statistics when dealing with skewed distributions or when there are outliers in the data. The median is less affected by outliers and skewed data.
STEP 3
Secondly, "it is the average score". This is not true. The mean is the average score, not the median. The median is the middle value in a data set when the values are arranged in ascending or descending order.
STEP 4
Thirdly, "it is more accurate in skewed distributions". This is true. The median is often more representative of the central tendency in skewed distributions. The mean can be greatly affected by extreme values in skewed distributions.
STEP 5
Lastly, "it is a better measure of variation". This is not true. Neither the median nor the mean are measures of variation. Measures of variation include range, variance, and standard deviation.
So, the statements "it is the average score" and "it is a better measure of variation" are NOT TRUE.
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