Problem 4
Refer to the box plots in Problem 3.
: 4.0 points
Compare experiments 4 and 5. When drawn on the same scale, the histogram for one of them has a noticeably higher peak the histogram for the other. From the box plots alone, can you tell which one has the higher peak?
Experiment 4Experiment 5
We'll be happy to check YOUR answers. What do YOU THINK?
Experiment 5
The closer the distance between M - LQ or M - UQ is in the Box-and Whiskers Plots, "more noticeably" the higher peaks are in the histogram.
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To compare the histograms of experiments 4 and 5 using just the box plots, we can focus on the shape of the box plots. The height and position of the boxes can provide a clue about the peak of the histograms.
First, let's understand the components of a box plot. A box plot consists of a box and two whiskers. The box represents the interquartile range (IQR), which encompasses the middle 50% of the data. The position of the median is marked within the box. The whiskers extend from the box and represent the minimum and maximum values within a certain range.
If the box of a box plot is shorter and closer to the median line, it indicates a distribution that is more concentrated and therefore, a higher peak on the histogram. Conversely, if the box is taller and further from the median line, it suggests a more spread out distribution with a less prominent peak on the histogram.
Now, let's compare the box plots of experiments 4 and 5. Look at the heights of their respective boxes and their positions in relation to the median line. Analyze which one has a shorter box that is closer to the median line.
If experiment 4 has a shorter box that is closer to the median line compared to experiment 5, it suggests that experiment 4 has a higher peak on its histogram.
If experiment 5 has a shorter box that is closer to the median line compared to experiment 4, it suggests that experiment 5 has a higher peak on its histogram.
By comparing the box plots, you can make an educated inference about which experiment has a higher peak on its histogram.