Stats Practice Test #1

Front

A history quiz is worth 40 points. A student earns 90% of the points. How many points did they earn?

Back

36 points (90% of 40 = 0.9 * 40 = 36)

Front

Find the variance for the given data: 3, 6, 9, 12, 15.

Back

18 (Variance = average of squared differences from the mean)

Front

Find the mode(s) of the given sample data: 34, 38, 34, 40, 42, 38, 34, 40

Back

34 (Mode is the number that appears most frequently in a data set)

Front

What is the probability that a randomly selected student prefers Tennis, given that they are a girl?

Back

14.29% (Conditional probability based on the given data)

Front

Out of 400 students surveyed, 160 said they prefer studying in the evening. What is the probability that the next student surveyed prefers studying in the evening?

Back

0.4 (Probability = number of favorable outcomes / total outcomes = 160/400)

Front

Define variance in statistics.

Back

Variance measures how far a set of numbers are spread out from their average value.

Front

What is the formula for calculating the mean of a data set?

Back

Mean = (Sum of all data points) / (Number of data points)

Front

Explain the concept of mode in statistics.

Back

The mode is the value that appears most frequently in a data set.

Front

What is the difference between probability and odds?

Back

Probability is the likelihood of an event occurring, while odds compare the likelihood of the event occurring to it not occurring.

Front

How do you calculate the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes)