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Unit 5 Test Statistics & Probability (7th Grade)

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This is a CLOSED notes test. The only resource you may use is the scientific calculator embedded into this formative. NO google searches! This is cheating. Show your work where needed.
Question 1
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Question 2
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Question 3
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Question 5
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Question 6
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Question 7
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Question 8
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Question 9
9.

Question 10
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Question 11
11.
What is the IQR of Class A? _______
What is the IQR of Class B? _______
What is the difference in medians? _______
Question 12
12.

Question 13
13.

Vera is rolling two standard number cubes. What is the probability that both number cubes will show an odd number?

Question 14
14.

Question 15
15.

Question 16
16.

Question 17
17.

Question 18
18.

Marshall works at an animal shelter. He makes sure all the cats are vaccinated. In July, 56 of the cats entering the shelter had already been vaccinated. Based on this result he predicts that if 100 cats entered the shelter, 80 of the cats would have already been vaccinated. How many cats entered the animal shelter in July?

Question 19
19.

Question 20
20.

Question 21
21.

Question 22
22.

Question 23
23.

Question 24
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Question 25
25.

Alexander makes dumplings. He sells orders with 1, 2, 3, or 4 dumplings. The dumplings are filled with tofu, chicken, or pork. The dumplings can be ordered boiled or fried. What is the probability that a randomly chosen order includes pork dumplings? SHOW YOUR WORK!

Question 26
26.

Vera is rolling two standard number cubes (1-6). What is the probability that both number cubes will show an even number?

Question 27
27.

1. Nicole wants to conduct a survey of opinions of students at her middle school. Which survey sample would give her the most accurate results?
Random students as they enter the school
Students during math class
Random seventh-grade students during lunch
Teachers in the seventh-grade hallway
The principal of a junior high school wants to know how many students like the current cafeteria food. Which method might the principal use to ensure a good representation of the population in his survey?
On a day chosen at random, the principal asks the counselor to provide a list of student ID numbers and selects every tenth person on the list. He finds each student between classes to ask if they like the cafeteria food.
On a day chosen at random, the principal goes to the cafeteria and asks the first 50 students who enter the cafeteria if they like the cafeteria food.
On a day chosen at random, the principal walks through the cafeteria and asks students who brought their own lunch if they like the cafeteria food.
On a day chosen at random, the principal walks through the cafeteria and asks students eating the cafeteria meal if they like cafeteria food.
A gym conducts three random samples of adults to learn the average number of hours they exercise in one week.


There are 675 members at the gym. Based on these samples, about how many members exercise between 5 and 7 hours per week?
300 members
1,230 members
220 members
675 members
Nina writes an essay for psychology class about the number of hours high school students sleep each night. She gets permission to randomly survey 75 students at three of the local high schools. The results are shown in the table.

Which conclusion about high school students is supported by the survey results?
More than half of high school students sleep between 7 and 8 hours each night.
About 40% of high school students sleep 6 hours each night.
About 1/4 of high school students sleep 9 or more hours each night.
More than 30% of high school students sleep 8 hours each night.
Westside Bank is preparing for a company luncheon. The bank randomly surveys 20 employees to determine which foods they would like to eat at the luncheon. The results of the survey are shown.
If Westside Bank employs 240 people, based on the survey results, how many employees will likely want tacos at the luncheon?
95 people
70 people
124 people
108 people
The test scores for the students in Mr. Miller’s math class are shown here.

52, 61, 69, 76, 82, 84, 85, 90, 94

What is the range of the test score?
82.0
77.0
42.0
22.5
What information does the mean absolute deviation provide about a data set?
The mean absolute deviation describes the average distance each value in the data set is from the median.
The mean absolute deviation describes the average distance each value in the data set is from the mean.
The mean absolute deviation describes the average distance each value in the data set is from zero.
The mean absolute deviation describes the average distance each value in the data set is from the range.
Look at each set of data.

Which data set has a mean absolute deviation of 0.64?
Data Set W
Data Set X
Data Set Y
Data Set Z
The scores that Joni and Sally received on their first seven assignments are shown in this table.

Which statement is true?
Sally’s median score is higher than Joni’s median score.
Sally’s median score is lower than Joni’s median score.
Sally’s median score is the same as Joni’s median score.
The median scores cannot be determined.
Students and adults are surveyed and asked how many photos they take with their phone in one day. The results are shown below.
Which statement is not true?
The RANGE for the number of photos taken by students and adults is the same.
The median for students is about 6 times the median for adults.
The IQR for students is about 6 times the IQR for adults.
A survey is given to every fourth house in each of two subdivisions. The survey results about pet ownership are shown in the box plots below.

Which of the following is true based on the data shown in the box plots?
The median of the data distribution for Woodhollow is 1.5 pets greater than the median of the data distribution for Oak Forest.
The range of the data distributions from Oak Forest and Woodhollow are equivalent.
There is some visual overlap between the data sets. Based on the distributions, the number of pets for homes in Woodhollow is generally greater than the number of pets for homes in Oak Forest.
There is almost total overlap between the data sets. Based on the distributions, the number of pets for homes in the Woodhollow and Oak Forest are generally the same.
Angelo will draw a card from a deck that contains only silver cards and gold cards. He claims that the probability of drawing a silver card is
5/2. Is Angelo’s prediction possible?
Yes, because a probability can be any fraction.
Yes, because a probability can be any positive number.
No, because a probability can only be a number from 0 to 1.
No, because a probability can only be a number from 1 to 2.
The weather forecaster said that the probability of rain today is about 88%. What does the probability indicate?
Rain is impossible.
Rain is unlikely.
Rain is certain.
Rain is likely.
A box of colored pencils contains 4 each of red, orange, yellow, green, blue, and purple pencils. Janet needs a blue pencil. She reaches into the box without looking and takes a pencil. What number represents the probability of Janet taking out a blue pencil?
Paul has a spinner with 4 colors: green, yellow, blue, and orange. He spins the spinner 60 times and records each color it stops on. The results are shown in this table.
Paul will spin the spinner an additional 450 times. How many times should he expect to stop on blue?
140
124
113
105
The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich. The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich. What are the chances that Mary will get a sandwich with cheese?
The probability that a person in a certain town has brown eyes is 2 out of 5. A survey of 450 people from that same town was taken. How many people would be expected to have brown eyes?
45
90
180
225
A bin at a farmer’s market has 18 peaches, 12 apples, 15 pears, and 9 bananas. Rosa picks a piece of fruit at random from the bin. Which statement about the fruit bin is true?

a
b
c
d
Joaquin plays a game with a deck of cards There are 72 action cards and 56 item cards. Joaquin selects a card at random, records whether it is an action card or an item card, and shuffles it back into the deck. In 9 trials, he selects 4 action cards and 5 item cards. Which statement about the probability of selecting an action card is correct?

a
b
c
d
Talia plays a board game with a friend. She uses a frequency table to record the results for each roll of a standard die.
Based on the data, what is the probability of rolling a five on the next roll?
This spinner will be spun twice.


What is the probability of spinning an odd number both times?
Jane wants to pick an outfit for the school outfit for the school dance. She can choose from 3 pairs of pants, 5 shirts, and 2 pairs of shoes. How many different outfits does Jane have to choose from?
10
15
30
60