1. If the boxplot for one set of data is much wider than the boxplot for a second set of data, then
(a) the median of the second set of data must be larger than the median of the first set of data
(b) both sets of data must contain several outliers
(c) the mean of the first set of data must be larger than the mean of the second set of data
(d) none of the above need to be true
I think it should be (a) because boxplots demonstrate a quick visual summary, and the median value lies in the middle of the max and min values. Therefore, if the median is smaller in one boxplot is wider. Is this correct?
2. A histogram is a graph that represents the cumulative frequencies for the classes in a frequency distribution.
(a) True
(b) False
I think this is true? Any guidance/ where Im wrong? Thanks
2 Answers
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(d) none of the above need to be true
Look at the source. The box plots are drawn on the same scale. If the median is above another median , it is larger. The width of the plot has no significance (only the height). Usually, both plots have the same width.
2)
false. It usually represents the frequency distribution.
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d because it shows the percentage of students getting that letter grade