Question

task 5. analyzing data from a bar graph amerie is starting some new after - school clubs at her high school. she polled 120 freshmen to find out what kinds of clubs they would like to join and recorded the results in the bar graph. use the data in the bar graph to answer the questions below, and explain your reasoning. a. what percentage of the students amerie polled said they would like to join a gardening club? b. there are a total of 650 students in katies high school. how many students should amerie expect to be interested in joining the games club? c. there are a total of 650 students in katies high school. out of the whole school, how many more students would likely be interested in the dance club than the community service club?

Explanation:

Step1: Calculate percentage for gardening club

From the bar - graph, number of students interested in gardening club out of 120 polled is 20. The percentage is calculated as $\frac{20}{120}\times100=\frac{100}{6}\approx16.67\%$.

Step2: Estimate number for Games club

From the bar - graph, assume the number of students interested in Games club out of 120 polled is 10. Proportionally, if there are 650 students in the school, the estimated number of students interested in Games club is $\frac{10}{120}\times650=\frac{650}{12}\approx54.17$.

Step3: Compare Dance and Community Service

From the bar - graph, number of students interested in Dance club out of 120 polled is 30 and for Community Service is 20. The difference in proportion for 650 students: For Dance club, $\frac{30}{120}\times650 = 162.5$, for Community Service, $\frac{20}{120}\times650=\frac{650}{6}\approx108.33$. The difference is $162.5 - 108.33 = 54.17$.

Answer:

a. Approximately 16.67% of the students Amerie polled said they would like to join a Gardening club. The reasoning is that out of 120 students polled, 20 were interested in the Gardening club, and the percentage is calculated as $\frac{20}{120}\times100$.
b. She should expect approximately 54 students to be interested in joining the Games club. This is estimated by first finding the proportion of students interested in the Games club in the poll (10 out of 120) and then multiplying that proportion by the total number of students in the school (650).
c. Approximately 54 more students would likely be interested in the Dance club than the Community Service club. This is found by first calculating the expected number of students interested in each club for the whole school based on the poll proportions and then finding the difference between them.