Graphics Interpretation - Bar Graph Iterations

The bar graph shows the results of a drug study with four groups of participants. In the graph, each bar represents the number of participants who reported each of three symptoms: fatigue, irritability, and headaches.

From each drop-down menu, select the option that creates the most accurate statement based on the information provided.

The number of participants who reported irritability was about 32% greater in [[dropdown1]] than in Group D.

In Group B, [[dropdown2]] % of the reported symptoms were for headaches.

Incorrect.

You can find the number of participants who reported irritability in Group C and Group D by looking at the appropriate red bars.

• Group C: 38

• Group D: 22

To find the percent change, use the following formula.

$$\displaystyle\mbox{Percent change} = \frac{\mbox{Difference}}{\mbox{Original}} \cdot 100\%$$ For this, the difference is $$38 - 22 = 16$$ and the original value is 22 since you are trying to find the percent change from Group D to Group C. $$\displaystyle\mbox{Percent change} = \frac{16}{22} \cdot 100\% \approx 73\%$$ Thus, this answer is not correct. You can find the correct answer by __Ballparking__. Remember, 32% is approximately equal to one-third.

Incorrect.

The number of participants who reported irritability is less in Group B than Group D. Therefore, this answer cannot be correct.

You can find the correct answer by Ballparking. Remember, 32% is approximately equal to one-third.

That's right! You can find the correct answer by **Ballparking**. First use the red bar to find the number of participants who reported irritability in Group D: 22. Since 32% is approximately equal to one-third, the correct answer will be one-third greater than 22. One-third of 22 is approximately 7 since $$21\div3=7$$. Thus, the increased value will be about $$22+7=29$$. There were 29 participants who reported irritability in Group A, so that is the correct answer.

That's right! First find the number of each type of reported symptom in Group B: - Fatigue: 27 - Irritability: 13 - Headaches: 35 Therefore, the total number of symptoms was $$27 + 13 + 35 = 75$$. Next, divide headaches by the total. $$\frac{35}{75} \approx 0.47$$ This decimal corresponds to 47%. Alternatively, you could note that $$\frac{35}{75}$$ is a little less than $$\frac{1}{2}$$, and 47% is the only answer choice that is a little less than $$\frac{1}{2}$$.

Incorrect.

You may have gotten this answer if you found the percentage of reported symptoms that were for fatigue, instead of headaches.

Find the number of reported headaches as well as the total number of symptoms in Group B. Then divide the two numbers and convert the result to a percent.

Incorrect.

You may have gotten this answer if you found the percentage for Group A, instead of Group B.

Find the number of reported headaches as well as the total number of symptoms in Group B. Then divide the two numbers and convert the result to a percent.

Incorrect.

You may have gotten this answer if you found the percentage of reported symptoms that were for irritability, instead of headaches.

Find the number of reported headaches as well as the total number of symptoms in Group B. Then divide the two numbers and convert the result to a percent.

Group A

Group B

Group C

17

24

36

47