Boys' Heights Humans are, on average, taller today than they were 200 years ago. Today, the mean height of 14-year-old boys is about 65in . Use the following relative frequency distribution of heights of a group of 14 -year-old boys from the 19 th century to answer the following questions. Heights of a Group of 19th-Century Boys. Age 14 Height (in inches) Percent of boys Under 50 0.2 50-54 7.0 55-59 46.0 60-64 41.0 65-69 5.8 Height (in inches)Percent of boys Under 500.2 50-547.0 55-5946.0 60-6441.0 65-695.8 So:kE: Ourmal nf the Anthropological Institute of Great 8main and lerland 2 What percent of the group of 19 th-century boys was y least 65 in. tall? b. What is the probability that one of the 19 th-century bos selected at random was at least 55in . tall but ks than 65 in. tall?
Question
135
Answer
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Juan SantosProfessional · Tutor for 6 years
Answer
<p> <br />1. 5.8% <br />2. 87% </p>
Explanation
<p> This question involves solving arameters using probabilities and frequencies from a given frequency distribution. The frequency distribution given shows the height distribution for a group of nineteenth-century boys.<br /><ul><br /> <li>The first sub-question is asking what percent of the group of 19th-century boys was at least 65 inches tall. To find the answer for this, check for the entry in the frequency table corresponding to boys who are 65 inches or more in height and print out the related percentage.</li><br /> <li>The second sub-question is asking for the probability that random pick from the 19th-century boys was at least 55 inches tall but less than 65 inches. To find fluid answer we sum up the percentage of entries starting from the height range that include 55 until the range before 65.</li><br /></ul></p>
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