Question
The following box plot shows the distribution of three sets of data around the mean. What is the correct sequence of inference from this box plot?
A. 1-Normal distribution, 2-Positive skewed, 3-Negative skewed
B. 1-Normal distribution, 2-Negative skewed, 3-Positive skewed
C. 1-Negative skewed, 2-Positive skewed, 3-Normal distribution
D. I -Positive skewed, 2-Normal distribution, 3-Negative skewed
Show Answer
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Correct Answer » B
Explanation
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Ans: B. 1-Normal distribution, 2-Negative skewed, 3-Positive skewed
(Ref http://wwwphysics.csb,spi.edu/stats/box2.hoirh
Positive or negative skewed data:
- Defined by the direction of the tail, i.e. direction of the least frequency values.
- Similarly in this box plot we can see that the data is equally distributed on either sides of the mean box in Plot (1).
- In Plot (2), the median is towards the higher side and most values are distributed towards the higher side hence it is negatively skewed.
- Hence, vice versa for Plot (3).