Questions: 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) Relative Frequency 130-144 22 % 145-159 25 % 160-174 23 % 175-189 27 % 190-204 29 % Select all that apply. A. 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. B. The relative frequencies were recorded as percents instead of counts. 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 126 %, 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.

Transcript text: 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. \begin{tabular}{c|c} \hline Height (cm) & \begin{tabular}{c} Relative \\ Frequency \end{tabular} \\ \hline $130-144$ & $22 \%$ \\ \hline $145-159$ & $25 \%$ \\ \hline $160-174$ & $23 \%$ \\ \hline $175-189$ & $27 \%$ \\ \hline $190-204$ & $29 \%$ \\ \hline \end{tabular} Select all that apply. A. 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. B. The relative frequencies were recorded as percents instead of counts. 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 $126 \%$, 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.