A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Which measure of center, the mean or median, is probably a better representation of the data? Explain your reasoning.
Answers
Given : The range of the data is between 50 and 90, and the distribution is skewed left.
To Find : Which measure of center, the mean or median, is probably a better representation of the data
Solution:
Negative skewness , Left Skewed
Mean < median < Mode
positive skewness , Right skewed
Mode < Median < Mean
Median lies in between in both cases Hence Median is better representation
Median is the better representation of the data when data is skewed or has outliers
As Given that the distribution is skewed left
Hence Median is the better representation of the data
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Answer:
Median is the better representation of the data when data is skewed or has outliers. As given was that the distribution is skewed left. Median is the better representation of the data.