WorksheetsInferences from Data
Total questions: 20
Worksheet time: 20mins
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?
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.
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.
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.
The table shows the results of a survey of 200 people attending a hockey game.
The attendance for the hockey game is about 25,000 visitors each game. Based on the table, how many people out of 25,000 could be expected to buy a pennant?
1,375
1,650
2,750
3,850
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.
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.
Q1. How many red shirts are there?
A) 5 red shirts
B) 17 red shirts
C) 40 red shirts
D) 83 red shirts
Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?
14 7th graders
28 7th graders
35 7th graders
42 7th graders
The dot plots show how long it took students in Mr. Chauncey's two science classes to finish their science homework last night. Find the means to make an inference about the data.
The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.
The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.
The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.
The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.
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. Refer to the data table. Polly surveys two more samples. Do the results from these samples support the inference made from the first sample?
Yes, the survey results support the inference that doing crafts is the least popular hobby at Polly's school.
No, the survey results does not support the inference that doing crafts is the least popular hobby at Polly's school.
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.
What inference is probably true based on the mean and median of the scores below?
The Blue team had slightly higher grades, on average.
The Green team had slightly higher grades, on average.
The Blue and Green teams had the exact same scores, on average.
The Blue team’s scores were twice as great as the Green team’s scores.
If you compare the medians of each data set, who spends more time online?
Seventh graders
Eight graders
Both grades spend an equal amount of time online.
Impossible to determine form the data sets.
Which data set shows students who tend to spend more time on homework per week?
Finn's Data Set
Jonah's Data Set
Mykel surveyed 15 7th graders and 15 8th graders at his school to see how many hours they spend per day listening to music. He made two box plots to compare the data sets. What inference can he draw from the data sets?
The range is greater for the 8th graders, so there is greater variability for the 8th graders than the 7th graders.
The person who listens to music the least is a 7th grader.
The median is greater for the 7th graders, so they generally spend more time listening to music than 8th graders.
No inferences can be made from the box plots.
Brazil asks 7 classmates how many erasers and pens they carry in their bags. The mean number of erasers is 10. The mean number of pens is 4. What inference could Brazil make using this data?
Most of Brazil's classmates carry more pens than erasers in their bags.
All of Brazil's classmates carry more erasers than pens in their bags.
Most of Brazil's classmates carry more erasers than pens in their bags.
Most of Brazil's classmates carry similar amounts of erasers and pens in their bags.
The dot plots show the number of calls that two radio stations receive each day for a ten-day period. The two shows are shown at the same time. Which of the following inferences based on the median values is valid?
The radio shows receive similar amounts of calls.
Radio Show 1 generally receives more calls.
Radio Show 2 generally receives more calls.
Group A and Group B were randomly sampled from the same population. What inference can you make?
Group A has higher overall variability because it has a larger range than Group B.
Group A has a lower overall variability because it has a smaller range than Group B.
Group B has a higher overall variability because it has a larger range than Group A.
Group B has a lower overall variability because it has a smaller range than Group A.
