# Grade 7 Statistics & Probability Review (Grade 7)

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## Grade 7 Statistics & Probability Review

1.

A interviewer is trying to prove a point for his video. If he interviews 2 people in total, will he have an accurate representation of the opinions of a group of 200 people?

- Only if he chose people who were not biased
- Only if he picked the 2 people at random
- Yes, 2 people can speak for any population
- No, the sample is too small to be reliable

2.

A political party is trying to find out which candidate in an election currently has the most support from the general American population. Which of the following samples is likely to be the most biased?

- A sample of 2000 people from the southern states
- A sample of 2000 people of a candidate's home city
- A sample of 2000 people from the west coast
- A sample of 2000 people from all over the United States

3.

A company is trying to find out how much fruit the average person living in Chicago eats per day. Which of these samples will produce the most accurate representation of the population?

- 300 health activists
- 300 people from a voluntary response hotline
- 300 people interviewed at random
- 300 patients in the hospital

4.

A cookie making company is trying to found out which of their cookies is the favorite among their 920 known customers. 80 customers are selected at random and asked which type of cookie they prefer, and this process is repeated 3 times. If 36 of the customers preferred mint cookies during the first sample, 33 preferred mint during the second sample, and 37 preferred them during the third, what is the most accurate estimate to how many of the company's customer's favorite cookie is mint?

- About 414 of the customers
- About 406 of the customers
- About 380 of the customers
- About 426 of the customers

5.

In order to find out how many wolves remain in an endangered population area, naturalists put tracking devices on 68 wolves. If the scientists later count 1,032 wolves, and 24 of them have tracking devices, then what is the most logical estimate of the number of wolves in the area?

- 1,032 wolves
- 2,924 wolves
- 24,768 wolves
- 70,176 wolves

6.

The line plots show the number of books read by the students in Mr. Murray's class and Ms. Stein's class.

Mr. Murray's Class:

Ms. Stein's Class:

Which statement best compares the median number of books read by the students in each class?

Mr. Murray's Class:

Ms. Stein's Class:

Which statement best compares the median number of books read by the students in each class?

- The median number of books read by Mr. Murray's class is 3 more than the median number of books read by Ms. Stein's class.
- The median number of books read by Ms. Stein's class is 3 more than the median number of books read by Mr. Murray's class.
- The median number of books read by Mr. Murray's class is 5 more than the median number of books read by Ms. Stein's class.
- The median number of books read by Ms. Stein's class is 5 more than the median number of books read by Mr. Murray's class.

7.

The line plots show the number of books read by the students in Mr. Murray's class and Ms. Stein's class.

Mr. Murray's Class:

Ms. Stein's Class:

For what values do Mr. Murray's class distribution and Ms. Stein's class distribution overlap?

Mr. Murray's Class:

Ms. Stein's Class:

For what values do Mr. Murray's class distribution and Ms. Stein's class distribution overlap?

- 3 only
- 3, 6, 8, 9
- 0, 1, 2, 4, 5, 7, 10
- 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

8.

Two boys are competing to see how many times they can dunk a basketball per minute. The boys dunk basketballs as fast as they can for 5 minutes. The first boy's number of basketball dunks during each minute are: 27, 32, 33, 33, 26. The second boy's numbers are: 28, 27, 29, 34, 30. Which of the two boys dunked the most basketballs per minute?

- They tied
- The first boy
- The second boy

9.

Three golfers are competing for the longest distance. Their longest distances in yards over a period of an hour are as follows:

First golfer: 260, 267, 234, 290, 267

Second golfer: 261, 260, 260, 273, 260

Third golfer: 287, 281, 276, 260, 281

Which golfer has the highest mode?

First golfer: 260, 267, 234, 290, 267

Second golfer: 261, 260, 260, 273, 260

Third golfer: 287, 281, 276, 260, 281

Which golfer has the highest mode?

- First golfer
- Second golfer
- Third golfer
- They are tied

10.

If an event has a 0.5 probability of occurring, the event:

- Is certain to occur
- Is certain to not occur
- Has equal chance of occurring as of not occurring
- Not enough information is provided

11.

Which of the following answers represents the probability of an event that is not likely to happen?

- 0.5
- 0.9
- 1.0
- 0.3

12.

If an event has a 0.9 probability of occurring, the event is:

- Certain to not occur
- Unlikely to occur
- Very likely to occur
- Certain to occur

13.

If the spinner below is spun 72 times, what is the most logical estimate for the number of times the spinner would land on 5 or 1?

- 3 times
- 36 times
- 24 times
- 30 times

14.

If you roll a six-sided number cube 120 times, will you roll a 3 thirty times?

- Definitely, without question
- Maybe, but probably not
- No, not a chance
- Probably, but maybe not

15.

A restaurant display case has the following tea bag selections and number of bags available for each kind.

Black Tea 15

Cinnamon 10

Green Tea 15

Lemon 4

Raspberry 6

What is the probability that a tea bag randomly selected from the case will be cinnamon?

Black Tea 15

Cinnamon 10

Green Tea 15

Lemon 4

Raspberry 6

What is the probability that a tea bag randomly selected from the case will be cinnamon?

- [math]1/50[/math]
- [math]1/10[/math]
- [math]1/5[/math]
- [math]1/4[/math]

16.

Which scenario for the spinner below has the following probability of occurring?

[math]P(?) = 3/5[/math]

[math]P(?) = 3/5[/math]

- the spinner lands on B
- the spinner lands on C or E
- the spinner lands on a vowel
- the spinner lands on a consonant

17.

A six-sided number cube is rolled 10 times. The theoretical probability of rolling a two is [math]1/6[/math], but in the experiment a two was rolled 4 out of the 10 times, making the experimental probability [math]2/5[/math]. If the dice is rolled again and again, will the experimental probability:

- Slowly decrease towards zero
- Slowly increase towards one
- Approach the theoretical probability
- Stay constant and never change

18.

Becky is tossing a six-sided number cube labeled 1, 2, 3, 4, 5, and 6. What is the probability of

tossing 6 two times in a row?

tossing 6 two times in a row?

- [math]1//36[/math]
- [math]1//6[/math]
- [math]1//3[/math]
- [math]1//2[/math]

19.

If Shawna tosses a dime and a nickel into the air at the same time, what is the probability that they will both land on heads?

- [math]1/2[/math]
- [math]2/2[/math]
- [math]1/4[/math]
- [math]3/4[/math]

20.

How many outcomes are possible if you choose one of each from 6 ice cream flavors; 3 sauces; 2 toppings; a waffle cone or cup?

- 36
- 24
- 18
- 72

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