Stats & Probability Challenge

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

• 12

• 6

• 5

• 7

What is the difference between probability and odds?

• Probability is a number between 0 and 1, while odds are a ratio.

• Probability is a ratio, while odds are a percentage.

• Probability and odds are interchangeable terms.

• Probability is always greater than odds.

Interpret the following box plot: What does the box represent?

• The box represents the interquartile range (IQR).

• The box represents the mean value.

• The box represents the maximum value.

• The box represents the minimum value.

Explain the concept of statistical inference.

• Statistical inference involves drawing conclusions about a population based on a sample from that population.

• Statistical inference is only applicable to small sample sizes.

• Statistical inference does not involve making predictions about a population.

• Statistical inference is solely based on anecdotal evidence.

What is the probability of rolling a 6 on a fair six-sided die?

• 1/4

• 1/3

• 1/6

• 1/5

Calculate the standard deviation of the data set: 3, 5, 7, 9, 11.

• 1.25

• 2.10

• 6.75

• 4.50

What is the mode of the data set: 2, 3, 4, 4, 5, 6, 6, 7?

• 3, 4, 5, 6

• 2, 3, 5, 7

• 4, 6

• 4, 5, 6, 7

What are the three basic rules of probability?

• The three basic rules of probability are: 1. 0 ≤ P(A) ≤ 1, 2. P(S) = 1, 3. P(A') = 1 - P(A)

• P(A) > 1

• P(S) = 0

• P(A') = P(A)

Interpret the correlation coefficient value of -0.85.

• Moderate positive linear relationship

• No relationship

• Weak positive linear relationship

• Strong negative linear relationship

Define random variables and give an example.

• Random variables are variables that are predetermined. An example is the color of the sky.

• Random variables are variables that always have the same value. For instance, the temperature in Celsius.

• Random variables are variables whose values are outcomes of a random phenomenon. An example is the result of rolling a fair six-sided die.

• Random variables are constants with fixed values. For example, the number of days in a week.