Data were collected on the times to recovery (in days) for athletes who had serious concussions. There were two data sets. One data set consisted of the recovery times of 200 athletes who were treated for their concussion and the other data set consisted of the recovery times of 200 athletes who received no treatment for their concussions. The histograms summarize the two data sets. For simplicity call the histogram on the left Figure 1, and the one on the right Figure 2. (a)Researchers claim that those who were not treated for concussion tended to have longer recovery times than those who were treated. According to this claim, which of these two histograms corresponds to the data for those who were not treated? (b) In no more than two sentences, justify your answer to part (a). (c) From Figure 1, find the (approximate) proportion of athletes that recovered in 55 or fewer days. (d) Which measure of centrality would you prefer to use for the data that led to Figure 2: the sample mean or the sample median? Justify your answer in one sentence.
Data were collected on the times to recovery (in days) for athletes who had serious concussions. There were two data sets. One data set consisted of the recovery times of 200 athletes who were treated for their concussion and the other data set consisted of the recovery times of 200 athletes who received no treatment for their concussions. The histograms summarize the two data sets. For simplicity call the histogram on the left Figure 1, and the one on the right Figure 2.
(a)Researchers claim that those who were not treated for concussion tended to have longer recovery times than those who were treated. According to this claim, which of these two histograms corresponds to the data for those who were not treated?
(b) In no more than two sentences, justify your answer to part (a). (c) From Figure 1, find the (approximate) proportion of athletes that recovered in 55 or fewer days.
(d) Which measure of centrality would you prefer to use for the data that led to Figure 2: the sample mean or the sample
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