Data Inferences

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.

Calculate the mean.

• 29

• 29.5

• 28.5

• 33

Calculate the mean.

• 25

• 24

• 27

• 24.5

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.

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

A random survey was conducted about​ students' favorite vegetables. Ten students voted for green​ beans, 12 students voted for​ corn, and 3 students voted for broccoli. Rachel concludes that 240 of the 600 students in the school are expected to prefer green beans. Is her conclusion​ valid?

• Rachel's conclusion is not valid. The ratio of students in the sample who voted for green beans to the total number of students in the sample can be written as 10:25, which is not equivalent to the ratio 240:600

• Rachel's conclusion is valid. The ratio of students in the sample who voted for green beans to the total number of students in the sample can be written as 10:25, which is equivalent to the ratio 240:600

• Rachel's conclusion is not valid. The ratio of students in the sample who voted for green beans to the total number of students in the sample can be written as 10:25, which is equivalent to the ratio 240:600

• Rachel's conclusion is valid. The ratio of students in the sample who voted for green beans to the total number of students in the sample can be written as 10:25, which is not equivalent to the ratio 240:600

Tags

CCSS.6.RP.A.3A

The following shows the number of calls two radio shows get each day for a ten day period. The two shows are on at the same time. Make a comparative inference based on the median values.

• Show 1 usually receives more calls.

• Show 2 usually receives more calls.

• The shows usually receive equal numbers of calls.

• There is not enough data to draw an inference.

A random survey of 7th graders finds that 7 out of 10 have more than 1 hour of screen time each day. If there are 110 7th graders in your school, how many would you expect to have more than 1 hour of screen time?

• 77

• 70

• 75

• 81

A valid sample shows that 3 of 20 players win at a carnival game. If 275 people play the game each day, how many winners would you expect to have?

• about 50

• about 45

• about 41

• about 36

Tags

CCSS.6.RP.A.3B

3 of 5 doctors surveyed by a pharmaceutical company prefer their new Brand X medicine compared to the other leading brand. Is this a valid inference?

• Yes they randomly chose doctors for the survey.

• No there is no evidence that they chose the doctors for the survey at random.

• Yes they chose doctors they knew would prefer their Brand X.

• No they randomly chose doctors for the survey.