The statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6
What are clusters in data?
Clusters are groups in data. Each group is like clustered or grouped around some number, usually the mean of that cluster.
What is the spread of a data?
Spread, also called range of a data, tells the difference between the maximum and minimum value of that data, thus showing how much widely is it spread.
Thus, spread = maximum value - minimum value
For this case, we see that there are two clusters for class A and for class B there is only single cluster which is almost separated but not distinctly forming two clusters.
Class A spreads from minimum 4 to maximum 16, thus its spread is 16-4 = 12 units wide.
Class B spreads from minimum 3 to maximum 9, thus, its spread is 9-2 = 6 units wide.
Also, we can see that for class A, there is a gap from 7 to 11.
So all three options A, B and C are correct.
Now, let we find median.
Median is that value which is in mid of ordered (ascending or descending data set).
For class A, we have the data as:
4,4,4,4,4,5,5,5,6,6, 12,13,13,13,14,14
They are total 16 observations. The middle observation pair is 8th and 9th observation, which are 5 and 6
We can take any of the number between 5 and 6, so 5 < median < 6
That means median of class A's data is smaller than 6, thus, not being 6.
Thus, option D is incorrect and we don't need to find median of class B.
Thus, the statement which is not an accurate comparison of the two dot plots is stated as: Option D) The median for both dot plots is 6
Learn more about median here:
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