Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. Use the table to answer the questions. Min 147.2 Q1 164.3 Median 171.3 Mean 172.5 SD 8.7 Q3 178.1 Max 198.1 a) What is the point estimate for the average height of active individuals? ______________ cm b) What is the median height of these active individuals? ______________ cm c) What is the point estimate for standard deviation of heights of active individuals? ____________ c

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Researchers studying anthropometry collected body girth measurements and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically active individuals. Use the table to answer the questions.

Min

147.2

Q1

164.3

Median

171.3

Mean

172.5

SD

8.7

Q3

178.1

Max

198.1

  1. a) What is the point estimate for the average height of active individuals? ______________ cm
    b) What is the median height of these active individuals? ______________ cm
    c) What is the point estimate for standard deviation of heights of active individuals? ____________ cm
    d) The IQR extends from ______________ cm to ______________ cm, giving an IQR of ______________ cm.
    e) Is a person who is 1m 90cm (190cm) tall considered unusually tall? And is a person who is 1m 50cm (150cm) considered unusually short?
  2. __No, they are not unusual since these heights are within two standard deviations of the mean
  3. __No people can come in all sizes, we cannot define usual or unusual heights
  4. __Yes, they are unusual since these heights are more than two standard deviations away from the mean
  5. __We cannot tell from the given information
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