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Understanding Data Predictions in Probability

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following events is certain to happen?

a)

It will snow in July in Toronto.

b)

The sun will rise in the east tomorrow.

c)

You will find a four-leaf clover every day.

d)

All coins will land on heads when flipped.

2.

If you roll a regular six-sided die, what is the likelihood of getting a number greater than 6?

a)

Impossible

b)

Unlikely

c)

Likely

d)

Certain

3.

Which word best describes the chance of picking a red marble from a bag that only contains blue marbles?

a)

Certain

b)

Likely

c)

Impossible

d)

Unlikely

4.

On a probability line, where would you place an event that is equally likely to happen or not happen?

a)

At the far left (0)

b)

At the far right (1)

c)

In the middle (0.5)

d)

Just before the far right

5.

If you have a bag with 5 red balls and 5 blue balls, what is the likelihood of picking a red ball?

a)

Impossible

b)

Unlikely

c)

Equally likely

d)

Certain

6.

Which event is most likely to happen?

a)

Rolling a 7 on a standard die

b)

Getting heads when flipping a coin

c)

Picking a green marble from a bag with only red marbles

d)

It raining every day in August in Ottawa

7.

If you spin a spinner with 4 equal sections (red, blue, green, yellow), what is the likelihood of landing on blue?

a)

Impossible

b)

Unlikely

c)

Equally likely

d)

Certain

8.

Which of the following is an unlikely event?

a)

Drawing a heart from a standard deck of cards

b)

Rolling a 2 on a six-sided die

c)

Picking a name from a hat with 100 names and getting your own

d)

The sun setting in the west

9.

If you have a bag with 9 green marbles and 1 red marble, what is the likelihood of picking a red marble?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

10.

Which of the following best describes the likelihood of getting snow in Vancouver in July?

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

11.

Two classes collect data on the number of pets students have. Class A’s data: 0, 1, 2, 2, 3. Class B’s data: 2, 2, 2, 2, 2. Which class is more likely to have the mean, median, and mode all the same?

a)

Class A

b)

Class B

c)

Both classes

d)

Neither class

12.

If you collect the number of siblings from two different schools, is it likely that the mean, median, and mode will all be the same for both data sets?

a)

Yes, always

b)

No, never

c)

Sometimes, depending on the data

d)

Only if both schools have the same number of students

13.

Which data set is most likely to have the mean, median, and mode all equal?

a)

1, 2, 3, 4, 5

b)

2, 2, 2, 2, 2

c)

1, 1, 2, 3, 4

d)

1, 2, 2, 3, 4

14.

If you collect the heights (in centimetres) of students from two different classes, what is the likelihood that the mean, median, and mode will all be the same for both classes?

a)

Certain

b)

Unlikely

c)

Likely

d)

Impossible

15.

Which of the following data sets has a different mean, median, and mode?

a)

3, 3, 3, 3, 3

b)

1, 2, 3, 4, 5

c)

2, 2, 2, 2, 2

d)

4, 4, 4, 4, 4

16.

If two different groups of students each roll a die 10 times and record the results, is it likely that the mean, median, and mode of their results will all be the same?

a)

Certain

b)

Unlikely

c)

Likely

d)

Impossible

17.

Which of the following is a prediction you can make about the mean, median, and mode of two different data sets collected from different populations?

a)

They will always be the same.

b)

They will never be the same.

c)

They might be the same, but it is not likely.

d)

They must be different.

18.

A class records the number of books read by each student: 2, 2, 3, 4, 5. What is the mean, median, and mode?

a)

Mean: 3.2, Median: 3, Mode: 2

b)

Mean: 3, Median: 3, Mode: 2

c)

Mean: 3.2, Median: 2, Mode: 3

d)

Mean: 3, Median: 2, Mode: 3

19.

If you collect the ages of students in two different grade 4 classes, is it possible for the mean, median, and mode to be the same for both classes?

a)

Yes, it is possible but not certain.

b)

No, it is impossible.

c)

Yes, it is always the case.

d)

Only if both classes have the same number of students.

20.

Which of the following statements is true about the mean, median, and mode of a data set?

a)

They are always the same.

b)

They can be the same, but often are different.

c)

They are never the same.

d)

They are always different.