Comparing Data Sets Using Statistics

A school board randomly samples 80 students to determine their opinion on requiring uniforms for the next school year. The given table show the results. Based on this data, which statements are true? (Select all that apply)

• Over half of the students sampled were in favor of the uniforms.

• 56.25% of the students are in favor of the uniforms.

• 13.75% of students are opposed to the uniforms.

• Over half of the students are undecided about the uniforrms.

Lucy collects data from a random sample of seventh-graders. Out of 40 respondents, 7 attend after-school programs. Of the 200 seventh-graders attending Lucy’s school, how many would be expected to attend afterschool programs?

There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Yovani estimates that about 200 students in the school favor playing sports as a hobby. Do you agree?

• Yes, I used a proportion to find the number of students in the school who likely to prefer to play sports. 23/80 = 200/400; 200 students

• No, I used a proportion to find the number of students in the school who likely to prefer to play sports. 23/80 = 115/400; 115 students

Caleb is comparing the growth of plants using two different fertilizers. Use the measures of center from the box plots to make an inference about the data.

• Based on the means, plants in Group A grew more than plants in Group B

• Based on the means, plants in Group B grew more than plants in Group A.

• Based on the medians, plants in Group A grew more than plants in Group B

• Based on the medians, plants in Group B grew more than plants in Group A.

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.

Use the mean value of each data set to make an inference about the number of fish caught each day.

• On average, most participants caught and released 5 or more fish.

• More participants caught 6 fish than any other number.

• The same participants who caught and released 1 fish the first day caught and released 1 fish the second day.

• On average, participants caught and released more fish on Day 2.

Group A and Group B were randomly sampled from the same population. Select all the inferences that you can make.

• Group B has a higher median than Group A.

• Group B has a higher mean than Group A.

• Group B has more overall variability than Group A.

• Group B has a smaller range than Group A.

• Group A and B have the same maximum value.

What is the IQR of the following Data Set:

32, 35, 36, 39, 40, 44, 48, 49

• Q1:35

  Q2: 39

  Q3: 46

  IQR: 46 - 35 = 11

• Q1: 35

  Q2: 39

  Q3: 48

  IQR: 48 - 35 = 13

• Q1: 35

  Q2: 39

  Q3: 44

  IQR: 44 - 35 = 9

• Q1: 35

  Q2: 39

  Q3:46

  IQR: 39 - 35 = 4

The number of miles that Kiki cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Kiki cycled?

• 24

• 36

• 39

• 52

James collects the following data on the number of dolphins seen from a cruise ship over the last 5 days.

12, 15, 13, 22, 18

What is the mean absolute deviation of the data?

• 16

• 5

• 3.2

• 1

The cost of four cell phones are $345, $400, $110, and $640.
What is the median cost

• $330

• $390

• $372.50

• $375