Drawing Inferences from Data Math

Marvin's grades currently in math are 100, 97, 98, 74, and 85. Gavin's grades currently in math are 98, 100, 88, 91, and 65. Find the range of each student's scores and make an inference about their ranges.

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 72%, 71%, and 74%, what inference can you make based on those averages?

If Mr. Estes looked at the means (averages) for the last SAFE Quiz for his classes, and the averages were 81%, 82%, and 99%, what inference can you make based on those averages?

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below. 4th Grade 56, 47, 54, 51 7th Grade 57, 58, 60, 64 Find the range for both classes and make an inference about the range of scores.

What inference can you draw from this survey?

• I can infer that most students in this school like pizza.

• I can infer that very few students like hamburgers.

• I can infer that their favorite is corn dogs.

• I can infer that most students in this school like hamburgers.

A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?

• Twenty-four percent of those sampled say they like mountain vacations best.

• An estimated 720 club members would likely say they enjoy mountain vacations best.

• Almost one-quarter of club members would likely say they enjoy mountain vacations best.

• More than 2,500 club members would likely say they prefer other vacations over mountain vacations.

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing tournament. Select the inference that can be made based on the data collected.

• 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 on the second day.

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

The following dot plots show the amount of time it takes each​ person, in a random​ sample, to complete two similar problems. Make a comparative inference about the two problems.

• The problems are equally challenging.

• Problem 2 is more difficult because it took students longer on average.

• Problem 1 is more difficult because it took students longer on average.

In an effort to try to convince her mother that she is too old to join the intermediate swim​ class, Mira, who is 13 years​ old, gathers data on the ages of a random sample of members of the current intermediate swim class. The results of the data collected by Mira are displayed in the dot plot shown.

• It is likely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

• It is likely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

• It is unlikely that she will be able to convince her mother.​ Mira's age is within the area where the data are clustered.

• It is unlikely that she will be able to convince her mother.​ Mira's age is to the left of the area where the data are clustered.

Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?

• 7

• 7.5

• 8

• 7.25