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Refer to the boxplot given in Section 1.4 Exercise 22 of the text. Describe the distribution of the data.

A) Positively skewed
B) Normally distributed
C) Negatively skewed
D) Bimodal

User Npgall
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Final answer:

Without the specific image of the boxplot, one can deduce the type of distribution by assessing the plot's symmetry and comparing the positions of mean, median, and mode.

Step-by-step explanation:

To ascertain the distribution of data from a boxplot, we need to examine the plot's symmetry and the relative positions of its mean, median, and mode. A positively skewed distribution will have a longer right tail, suggesting that the mean is greater than the median. On the contrary, a negatively skewed distribution shows a longer left tail, indicating that the mean is less than the median. In the case of a normally distributed data set, the mean, median, and mode would be approximately equal, and the boxplot would be symmetric. Lastly, a bimodal distribution refers to one that has two modes, or peaks, which can sometimes be observed in a boxplot if there are two distinct clusters of data.

Without the specific boxplot image, it is impossible to provide a definitive answer to the question. However, assessing skewness and modality in a boxplot generally involves looking for signs of symmetry or lack thereof, and understanding whether the data clusters around one or multiple values. For a distribution such as the performance in a running distance (an example mentioned above), which many can do up to a short distance but few can continue as the distance increases, would typically resemble an exponential or positively skewed distribution.

User Leeroy Hannigan
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