Heights of adult males are known to have a normal distribution. A researcher cla

Question

Heights of adult males are known to have a normal distribution. A researcher claims to have randomly selected Height (cm) Frequ adult males and measured their heights with the resulting relative frequency distribution as shown here. Identify two major flaws with these results Relative 130-144 145-159 160-174 175-189 190-204 23% 25% 21% 27% 28% Select all that apply A. The classes do not allow for the possibility that an adult male could be between 144 cm and 145 cm tall, or B. All of the relative frequencies appear to be roughly the same. If they are from a normal distribution, they sho decrease C. The classes do not allow for the possibility that an adult male could be less than 130 cm tall or greater than D. The relative frequencies were recorded as percents instead of counts E. All of the relative frequencies are different. If they are from a normal distribution, they should all be exactly t F. The sum of the relative frequencies is 124%, but it should be 100%, with a small possible round-off error

Explanation / Answer

For relative frequencies, the sum must add up to 100%. Hence, last option is a major flaw.

Also, as the data is distributed normally, the relative frequency should first increase up to the mean and then decrease. Hence, with all relative frequencies being nearly the same, that is another major flaw

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