Stats & Probability Challenge

What is the mean of the following data set: 2, 4, 6, 8, 10?

• 12

• 6

• 5

• 7

If two events are independent, what is the probability of both events occurring?

• P(A) * P(B)

• P(A) - P(B)

• P(A) + P(B)

• P(A) / P(B)

Explain the difference between population and sample in statistics.

• Population is smaller than a sample.

• Population is the entire group being studied, while a sample is a subset of the population.

• Population and sample are interchangeable terms in statistics.

• Sample is the entire group being studied, while population is a subset.

A fair six-sided die is rolled. What is the probability of rolling a 3?

• 1/6

• 1/4

• 1/5

• 1/3

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

• 7

• 3

• 5

• 9

What is the formula for calculating the probability of an event?

• Probability = Total number of outcomes / Number of favorable outcomes

• Probability = Number of favorable outcomes x Total number of outcomes

• Probability = Number of unfavorable outcomes / Total number of outcomes

• Probability = Number of favorable outcomes / Total number of outcomes

Describe the concept of standard deviation in statistics.

• Standard deviation is the same as the mean of a set of values.

• Standard deviation measures the central tendency of a dataset.

• Standard deviation is used to determine the range of values in a dataset.

• Standard deviation in statistics is a measure of the amount of variation or dispersion of a set of values. It shows how much each value differs from the mean of the set.

If event A has a probability of 0.4 and event B has a probability of 0.6, what is the probability of either event A or event B occurring?

• 1.0

• 0.8

• 0.2

• 1

Explain the difference between permutation and combination in probability.

• Permutation involves ordering, while combination does not involve ordering.

• Permutation results in a smaller number of outcomes compared to combination.

• Permutation is used for independent events, while combination is used for dependent events.

• Permutation involves division, while combination involves multiplication.

Given a normal distribution with a mean of 50 and a standard deviation of 10, what percentage of data falls within one standard deviation of the mean?

• 50%

• 75%

• 90%

• 68%