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7th grade Statistics and Probability CASE 21 2020 BENCH 3

Total questions: 17

Worksheet time: 30mins

Name
Class
Date
1.

a)

a fourth of the students in each grade at Lakeview High

b)

all the students in the freshman class at Lakeview High

c)

the members of the JV basketball team

d)

the students at the statistics student's lunch table

2.

50 students were surveyed during a random sample. The table shows their responses about their favorite summer activities.

If there are 1,020 students at Smith High School, how many would be exerted to respond that biking is their favorite activity?

a)

245 Student

b)

306 students

c)

714 Students

d)

775 students

3.
a)

0.28

b)

0.35

c)

0.38

d)

0.40

4.

A student must choose a color of pants and hat for a uniform. The table shows their options.

Which list shows the complete sample space of choosing a pair of pants and a hat for the uniform?

a)

GT, PR

b)

GT, GT, PR, PY

c)

GP, GR, TP, TR

d)

GP, GR, GY, TP, TR, TY

5.

TAKE YOUR TIME. Students are training for a swimming competition. The students are going to be trained for one month before the competition. The dot plots show the times the students took to finish a 5-mete are BEFORE and AFTER training.

a)

a marginal overlap between the distributions indicates the training did not significantly change the students' race times.

b)

The mean time the students took to finish a 50-meter race decreased by about 10 seconds after training.

c)

The mean time the students took to finish a 50-meter race increased by about 10 seconds after training.

d)

a significant overlap between the distributions indicates the training did not significantly change the students' race times.

6.

A student rolls the dice and flips a coin. What is the probability the student will roll a 6 and flip tails?

a)


14\frac{1}{4}

b)

16\frac{1}{6}

c)

18\frac{1}{8}

d)

112\frac{1}{12}

7.

The box plots show the number of checks cashed over a certain period at two different ATM machines. What statement a bout the difference in the medians of the two data sets is true?

a)

The difference in the medians is about 43\frac{4}{3} times the interquartile range of the number of checks cashed at either ATM.

b)

The difference in the medians is about 43\frac{4}{3} times the range of the number of checks cashed at either ATM.

c)

The difference in the medians is about 2 times the interquartile range of the number of checks chased at either ATM

d)

The difference in the medians is about 2 times the range of the number of checks cashed at either ATM

8.

There is 18\frac{1}{8} a chance of a spinner landing on pink. What statement is true?


a)

It is certain that the spinner lands on pink.

b)

It is impossible for the spinner to land on pink.

c)

It is likely that the spinner lands on pink.

d)

It is unlikely that the spinner lands on pink.

9.

A statistician calculates the mean from several random surveys, each of 75 adults in Virginia, to find out the most frequent type of car owned. The table shows the results.


Which two statements are valid inferences that can be made based on the data collected?

a)

On average, about 36 adults in Virginia own a 4 door sedan.

b)

On average, about 40% of adults in Virginia own a SUV

c)

On average, every 12 out of 25 adults in Virginia own a 4 door sedan.

d)

On average, every 12 out of 75 adults in Virginia own a 2 door convertible

e)

On average, every 30 out of 100 adults in Virginia own an SUV.

10.
a)

Jayden, Imani, Mason, Penelope

b)

Jayden, Penelope, Imani, Mason

c)

Mason, Jayden, Penelope, Imani

d)

Mason, Penelope, Imani, Jayden

11.

a)


13\frac{1}{3}

b)

12\frac{1}{2}

c)

23\frac{2}{3}

d)

34\frac{3}{4}

12.

a)

The mean dog weight decreases after the grain-free diet, so it is not plausible too infer that the grain-free diet increases the dogs' weights.

b)

The mean dog weight decreases after the grain-free diet, so it is plausible too infer that the grain-free diet increases the dogs' weights.

c)

The mean dog weight increases after the grain-free diet, so it is not plausible to infer that the grain-free diet increases the dogs' weights.

d)

The mean dog weight increases after the grain-free diet, so it is plausible to infer that the grain-free diet increases the dogs' weights.

13.

a)

randomly survey 250 retired doctors in TX

b)

survey every 3rd customer in the 20-25 year old range that buy water at a randomly selected grocery store in TX

c)

Survey the first 250 customers at a randomly selected grocery store in Maine

d)

Survey the first 250 people in the 20-25 year old range the statistician from the company comes across at a fitness event in North Carolina

14.

If the spinner lands on green 10 times out of 60 spins, which statement is true?

a)

The spinner lands on green 5 more times than expected

b)

The spinner lands on green 5 less times than expected

c)

The spinner lands on green 2 more times than expected

d)

The spinner lands on green 2 less times than expected

15.

If the spinner is spun 360 times, what is the most reasonable estimate of the number of times the spinner will land on red or yellow

a)

60 times

b)

90 times

c)

120 times

d)

180 times

16.

Which statement is true?

a)
b)
c)
d)
17.

Which statement is true?

a)

Company 1 takes vacation days less consistently because their interquartile range is smaller than company 2

b)

Company 1 takes vacation days more consistently because their interquartile range is larger than company 2

c)

Company 2 takes vacation days less consistently because their interquartile range is larger than company 1

d)

Company 2 takes vacation days more consistently because their interquartile range is smaller than company 1