Seventh Grade Grade 7 Mathematics
Inferences
1. Ben believes that most of the automobiles in his neighborhood are SUVs. He does a house-tohouse survey of parked cars. He surveys 45 cars and only 8 of the cars he finds are SUVs. Yet
fully 50% of the town’s automobiles are SUVs. What is the MOST LIKELY explanation for
these two facts?
A.
B.
C.
D.
Ben’s sample is too small to be representative of the entire town.
SUVs are sometimes hard to distinguish from non-SUVs and Ben made errors.
Most of the SUVs were on the road, and less popular models were left at home.
Ben only asked people at swim practice.
ID: 255052 -- Correct: A -– Alignment: GSE SP.1
2. Jack is running for city mayor. He stops the first 10 people on the street and asks them what
their biggest concern for the city is. Six of the people say higher taxes are their biggest concern.
Jack concludes that most people in town think that higher taxes are the biggest concern. Jack’s
conclusion is…
A.
B.
C.
D.
Invalid. Jack did not ask enough people.
Incorrect. Six of ten people is not a majority.
Biased. Jack does not want to raise taxes and is looking for support.
Valid. More than half of the people asked said higher taxes are their biggest concern.
ID: 255114 -- Correct: A -– Alignment: GSE SP.1
3. The manager of a hotel wants to know how often his customers rent boats at a nearby lake.
Which sampling method will give valid results?
A. He asks every tenth scustomer who checks into the hotel.
B. He posts a question on the hotel's website.
C. He randomly survey households in the neighborhood.
D. He asks every customer in the hotel lobby at noon.
ID: 277412 -- Correct: A -– Alignment: GSE SP.1
4. To survey a town about traffic concerns, Henry divided the town into eight regions and
randomly chose 10 households from each region. What type of sample did she use?
A.
B.
C.
D.
simple random sample
stratified random sample
biased sample
convenience sample
ID: 277420 -- Correct: B -– Alignment: GSE SP.1
5. How can you determine if a sample is biased or unbiased?
A.
B.
C.
D.
If the sample is representative of the population, it is unbiased.
If the sample is valid, it is unbiased.
If the sample is random, it can be unbiased.
All of the above.
ID: 284422 -- Correct: D -– Alignment: GSE SP.1
6. In a poll of Mrs. Tatum's ELA class, 75% of the students say that ELA is their favorite academic
subject. The editor of the school paper is in the class, and she wants an article for the paper
saying that ELA is the most popular subjct at the 800-student school. Explain why this is not a
valid conclusion and suggest a way to gather better data to determine what subject is most
popular.
A. Only ELA student in on e class were surveyed. Students should be surveyed while in all
ELA classes.
B. Only ELA students in one class were surveyed. The editor should ask friends on her
contact list.
C. Only ELA students in one class were surveyed. The editor should survey all girls.
D. Only ELA students in one class were surveyed. She should randomly choose 150 students
from the entire population,
ID: 284426 -- Correct: D -– Alignment: GSE SP.1
7. A department store receives a shipment of 1,000 glasses. Out of a random sample of 10 glasses,
2 are broken. How many glasses would you expect to be broken in the entire shipment?
A.
B.
C.
D.
2
40
200
250
ID: 255198 -- Correct: C -– Alignment: GSE SP.2
8.
100 students were randomly selected to participate in the survey and their answers are seen in
the table. Using this data, what would be a likely inference you can make from the data?
A. High school students prefer pizza more than middle school students
B. Middle School students prefer sandwiches over tacos
C. High school students prefer sandwiches more than middle school students
D. Taco is the least preferred lunch.
ID: 255201 -- Correct: B -– Alignment: GSE SP.2
9. A survey found that 78% of students do their homework before 10:00 P.M. Predict how many
students out of 975 do their homework before 10:00 P.M.
A.
B.
C.
D.
about 1,250 students
about 805 students
about 575 students
about 761 students
ID: 258517 -- Correct: D -– Alignment: GSE SP.2
10. Suppose 11 out of 17 students said they were attending the football game. How many students
out of 475 would you expect to attend the football game?
A.
B.
C.
D.
about 43 students
about 279 students
about 307 students
about 734 students
ID: 258518 -- Correct: C -– Alignment: GSE SP.2
11. A survey showed that 70% of students would select roller coasters as their favorite ride at an
amusement park. Out of 5,000 students, predict how many would select roller coasters as their
favorite ride.
A.
B.
C.
D.
3,500
1,500
350
150
ID: 277414 -- Correct: A -– Alignment: GSE SP.2
12. Seventeen out of 20 teens said that they eat breakfast every morning. What is a reasonable
prediction for the number of teen out of 1,280 who eat breakfast every morning?
A.
B.
C.
D.
340
940
1,088
1,260
ID: 277418 -- Correct: C -– Alignment: GSE SP.2
13.
Katie and Danielle recorded their resting heart rates each morning for ten days. The double dot
plot shows their heart rates in beats per minute.
Which of the following statements is not true?
A.
B.
C.
D.
Katie has more varied resting heart rate.
Danielle’s heart rates peak between 70 and 72 minutes.
Katie’s heart rates peak at 65 minutes.
Katie has a greater average resting heart rate.
ID: 255200 -- Correct: D -– Alignment: GSE SP.3
14.
Which measure of center is misleading in describing the miles of shoreline for the states?
A.
B.
C.
D.
mode
range
median
mean
ID: 258520 -- Correct: D -– Alignment: GSE SP.3
15. Use the data set $8, $10, $15, $8, $12, $13, $8, and $11. Which measure of center would you
use to convince people that the prices are low?
A. mean
B. mode
C. median
D. none of these
ID: 277419 -- Correct: B -– Alignment: GSE SP.3
16.
The box and whisker plot shows the weekly earnings($) of two different workers. Which of the
following statements is true for the data?
A. Lower quartile of Worker B is equal to the median of Worker A.
B. Median of Worker B is greater than the range of Worker A.
C. Range of Worker A is greater than the range of Worker B.
D. Median of the data is the same for both of the workers.
ID: 277424 -- Correct: C -– Alignment: GSE SP.3
17.
A.
B.
C.
D.
Juanita 5, Samuel 6
Juanita 4.5, Samuel 5.5
Juanita 5, Samuel 5.5
Juanita 6, Samuel 4.4
ID: 284444 -- Correct: A -– Alignment: GSE SP.3
18.
Given the following data sets, determine which set has the greatest interquartile range.
A.
B.
C.
D.
Set 1
Set 2
Set 3
Set 4
ID: 284445 -- Correct: D -– Alignment: GSE SP.3
19.
A.
B.
C.
D.
The range of house prices is higher in Mableton than in Smyrna,
The median house price is higher in Smyrna than in Mableton
The total prices of the houses is higher in Mableton than in Smyrna.
The most expensive house in Smyrna is $577,000 while the most expensive house in
Mableton is $465,000.
ID: 284493 -- Correct: C -– Alignment: GSE SP.3
20. Dave conducts an experiment to determine who likes peanut butter more: boys or girls. He has
25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1-10 with 1 being
cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range
of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
A. On average boys like the peanut butter more than the girls did.
B. The person who rated peanut butter the worst was a boy.
C. Boys varied more in how they liked peanut butter than the girls did.
D. There is not enough information to know if any of the above are true
ID: 255111 -- Correct: A -– Alignment: GSE SP.4
21.
The double box plot shows the heights in inches for the players on two professional basketball
teams. Compare their centers and variations. What inference you can draw about the two
populations?
A.
B.
C.
D.
The variation in heights in greater in the NJ Nets than in the NY Knicks.
NJ Nets players are significantly taller than NY Knicks players.
The variation in heights in greater in the NY Knicks than in the NJ Nets.
The NJ Nets has more players than the NY Knicks.
ID: 258521 -- Correct: A -– Alignment: GSE SP.4
22. What is the difference between a measure of variation and a measure of central tendency?
A. Measure of variation shows how close to the centyer the data is whereas measure of central
tendency shows how spread out the data is.
B. Measure of central tendency shows how close to the center the data is whereas measure of
variation shows how spread out the data is.
C. Measures of variation includes mean, upper and lower extremes, and upper and lower
quartiles. Measure of central tendency includes mean, median, mode, and range.
D. There is no difference between them.
ID: 284429 -- Correct: B -– Alignment: GSE SP.4
23.
What is the median?
A.
B.
C.
D.
33
16.5
12
14.5
ID: 284430 -- Correct: B -– Alignment: GSE SP.4
24.
What is the range?
A.
B.
C.
D.
12
16
24
2.5
ID: 284433 -- Correct: B -– Alignment: GSE SP.4
25.
What is the interquartile range?
A.
B.
C.
D.
16
18
2.5
33.5
ID: 284440 -- Correct: C -– Alignment: GSE SP.4