Probability and Statistics Challenge

What is the probability of rolling a sum of 7 with two dice?

• 1/4

• 1/8

• 1/12

• 1/6

If the mean of a data set is 20 and the sum of the numbers is 100, how many numbers are in the data set?

• 6

• 10

• 4

• 5

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

• 0.5

• 0.4

• 0.6

• 0.3

What is the median of the following data set: 3, 7, 9, 12, 15?

• 7

• 12

• 15

• 9

If a bag contains 4 red, 5 blue, and 6 green marbles, what is the probability of picking a blue marble?

• 3/4

• 2/5

• 1/2

• 1/3

A survey shows that 60% of students prefer online classes. If 50 students are surveyed, how many prefer online classes?

• 40

• 50

• 20

• 30

What is the mode of the following data set: 2, 3, 4, 4, 5, 5, 5, 6?

• 6

• 5

• 3

• 4

If the frequency of a certain event is 25 out of 100 trials, what is the probability of that event occurring?

• 0.25

• 0.75

• 0.15

• 0.50

In a data set of test scores, the mean is 75 and the median is 80. What can you infer about the distribution?

• The distribution is perfectly symmetrical.

• The distribution is positively skewed.

• The distribution has a uniform shape.

• The distribution is negatively skewed.

If a spinner is divided into 4 equal sections numbered 1 to 4, what is the probability of landing on an even number?

• 1/4

• 2/3

• 1/2

• 3/4