In a positively skewed distribution, the relationship between the mean, median, and mode is:a.Mean < Median < Modeb.Mean > Median > Modec.Mean = Median = Moded.Mean < Median > Mode
Question
In a positively skewed distribution, the relationship between the mean, median, and mode is:a.Mean < Median < Modeb.Mean > Median > Modec.Mean = Median = Moded.Mean < Median > Mode
Solution
In a positively skewed distribution, the relationship between the mean, median, and mode is:
a. Mean < Median < Mode b. Mean > Median > Mode c. Mean = Median = Mode d. Mean < Median > Mode
To determine the correct relationship, we need to understand what a positively skewed distribution is. In a positively skewed distribution, the tail of the distribution is longer on the right side, meaning that there are more extreme values on the right side of the distribution.
In this case, the mode represents the most frequently occurring value, the median represents the middle value when the data is arranged in ascending order, and the mean represents the average value.
Since the tail of the distribution is longer on the right side, the extreme values on the right side will pull the mean towards them, making it greater than the median. Additionally, the mode will be the smallest value since it represents the most frequently occurring value.
Therefore, the correct relationship between the mean, median, and mode in a positively skewed distribution is:
b. Mean > Median > Mode
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