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Statistics and Probability Challenge

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

What is the mean of the following data set: 4, 8, 6, 5, 3?

a)

5.2

b)

4.5

c)

6.0

d)

7.2

2.

If a die is rolled, what is the probability of rolling an even number?

a)

1/2

b)

2/5

c)

3/6

d)

1/3

3.

In a class of 30 students, 18 are girls. What is the probability of randomly selecting a boy?

a)

0.3

b)

0.5

c)

0.6

d)

0.4

4.

Calculate the median of the following numbers: 12, 15, 11, 10, 14.

a)

14

b)

15

c)

11

d)

12

5.

What is the mode of the data set: 2, 3, 3, 5, 7, 8, 8, 8, 9?

a)

8

b)

5

c)

3

d)

9

6.

If the probability of an event occurring is 0.25, what is the probability of it not occurring?

a)

0.75

b)

1.00

c)

0.10

d)

0.50

7.

A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball?

a)

2/5

b)

1/2

c)

3/8

d)

5/8

8.

What is the range of the following data set: 10, 20, 30, 40, 50?

a)

40

b)

10

c)

30

d)

20

9.

If two coins are flipped, what is the probability of getting at least one head?

a)

3/4

b)

1/4

c)

1/2

d)

2/3

10.

What is the standard deviation of the data set: 2, 4, 4, 4, 5, 5, 7, 9?

a)

2

b)

3

c)

1

d)

5

11.

In a survey, 70% of people prefer tea over coffee. If 200 people were surveyed, how many prefer tea?

a)

180

b)

140

c)

50

d)

100

12.

What is the interquartile range of the data set: 1, 3, 5, 7, 9, 11, 13, 15?

a)

12

b)

10

c)

8

d)

6

13.

If a card is drawn from a standard deck of 52 cards, what is the probability of drawing a heart?

a)

1/2

b)

1/4

c)

1/3

d)

1/5

14.

What is the variance of the following data set: 1, 2, 3, 4, 5?

a)

2

b)

4

c)

3.5

d)

1

15.

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

a)

50%

b)

75%

c)

90%

d)

68%