Video: SAT Practice Test 1 • Section 4 • Question 19

The given graphs show the results of a study that was conducted to test the hypothesis that men who are members of a gym have a lower body fat percentage than men who are not members of a gym. The study measured body fat percentage (rounded to the nearest %) of 600 men who are members of a gym and 600 men who are not members of a gym. For the sake of this study, a “high” percentage of body fat is defined as a body fat percentage higher than 20%. According to the data, approximately how many men who are members of a gym and who participated in the study have a body fat percentage below 14%?

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Video Transcript

The given graphs show the results of a study that was conducted to test the hypothesis that men who are members of a gym have a lower body fat percentage than men who are not members of a gym. The study measured body fat percentage rounded to the nearest percent of 600 men who are members of a gym and 600 men who are not members of a gym. For the sake of this study, a “high” percentage of body fat is defined as a body fat percentage higher than 20 percent. According to the data, approximately how many men who are members of a gym and who participated in the study have a body fat percentage below 14 percent?

We were given two graphs: the top graph shows men who are members of a gym, whereas the bottom graph shows men who are not members of a gym. In this specific question, we were only interested in those men who are members of a gym. Our first step here is to work out which bars correspond to those men that have a body fat percentage below 14 percent.

The first bar shows men who have a body fat percentage between five and seven percent. The second bar shows those men that have a body fat percentage between eight and 10 percent. And the third bar shows those between 11 and 13 percent. This third bar goes up exactly to 10 percent. The second bar — those showing men with a body fat percentage of between eight and 10 percent — goes up to four percent of the population. And finally, the first bar — men with a body fat percentage between five and seven percent — is two percent of the population. This is because it is slightly below halfway between zero and five percent.

To calculate the percentage of men surveyed who had a body fat percentage below 14 percent, we need to add two percent, four percent, and 10 percent. Two plus four plus 10 is equal to 16. Therefore, 16 percent of the men in the study had a body fat percentage below 14 percent. As there were 600 men in the study who are members of a gym, we need to calculate 16 percent of 600.

The word “percent” means out of 100. Therefore, 16 percent can be written as a fraction as 16 over 100. 16 divided by 100 is 0.16. Therefore, 16 percent as a decimal is 0.16. The word “of” in mathematics means multiply. Therefore, we need to multiply 0.16 by 600. Typing this into our calculator gives us an answer of 96.

We can therefore conclude that 96 men who are members of a gym and who participated in the study have a body fat percentage below 14 percent.

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