Thanks for the help :) (a) Contrast the shapes of the data sets displayed in the box-and-whisker plots in Question 1. Explain what the difference in the shapes means in context of the situation.

(b) Compare the spread of the data sets. Discuss both the overall spread and the spread within the boxes.

(c) Use an appropriate measure of central tendency to compare the center of the data sets. Explain what the difference in those measures means in context of the situation.

(Graph to question 1 attached below)

(a) I can see that Sherella's box and whisker plot has an entirely different shape than Venita's box and whisker plot.

• The first major point is that Sherella's data is skewed. As you can see Sherella's median is shifted to the shorter whisker, and there is a longer whisker present on the other end. We can therefore conclude that her data is skewed. More specifically it's skewed to the left.

• Take a look at Venita's box and whisker plot. Here median appears to be about in the center, and her whiskers are about the same. Therefore here data is bell shaped, or normal.

From this we can tell Sherella's newer coins have a smaller time gap than her older coins. However Venita's coins are more evenly spread out with respect to time.

(b) The " whiskers " are a key point in this part. Sherella has a wider distribution of data as her whiskers have a greater range. That would make her sample coins more spread out.

(c) We can use the median as a central tendency. The median of each box and whisker plot is not far off, they remain in the range of their respective boxes. Therefore we can conclude that each data is not that different, overall.

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