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Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results.

Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Relative Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results. Height (cm) Frequency D 130–144 23% 145–159 24% 160–174 21% 175–189 26% 190–204 28% ..... Select all that apply. A. The relative frequencies were recorded as percents instead of counts. B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they should start low, reach a maximum, and then decrease. C. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly the same. D. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or between 159 cm and 160 cm tall, and so on. E. The sum of the relative frequencies is 122%, but it should be 100%, with a small possible round-off error. F. The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than 204 cm tall.
Transcribed Image Text:Relative Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results. Height (cm) Frequency D 130–144 23% 145–159 24% 160–174 21% 175–189 26% 190–204 28% ..... Select all that apply. A. The relative frequencies were recorded as percents instead of counts. B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they should start low, reach a maximum, and then decrease. C. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly the same. D. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or between 159 cm and 160 cm tall, and so on. E. The sum of the relative frequencies is 122%, but it should be 100%, with a small possible round-off error. F. The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than 204 cm tall.
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