Question

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 130dash–144 2222​% 145dash–159 2424​% 160dash–174 2121​% 175dash–189 2626​% 190dash–204 2828​%

Answer 1

The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.

Explanation:

The sum of the probabilities of a distribution should be 100%. When you add the probabilities of this distribution together, you have

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

This is more than 100%, which is a flaw with the results.

A normal distribution is a bell-shaped distribution. Graphing the probabilities for this distribution, we would have a bar up to 22; a bar to 24; a bar to 21; a bar to 26; and bar to 28.

The bars would not create a bell-shaped curve; thus this is not a normal distribution.

Answer 2

From the table the major flaws that can be identified are:
1. The sum of the relative frequencies of the dat set is greater than 100% which is not possible.
For any dataset, the sum of the relative freduency must be 100%

2.) the distribution of the data is not symmetric.