4. Statistics and Probability

Descriptive Stats — Quiz

Test your understanding of descriptive stats with 5 practice questions.

Practice Questions

Question 1

A dataset has a mean of $100$ and a standard deviation of $10$. According to Chebyshev's Theorem, at least what percentage of the data falls within $2$ standard deviations of the mean?

Question 2

When comparing two datasets, one with a standard deviation of $5$ and another with a standard deviation of $15$, what can be concluded about their variability?

Question 3

A survey collected data on the number of hours students spent studying for an exam. The data showed a few students studied for a very short time, and most students studied for a moderate to long time. What shape would the distribution of study hours likely have?

Question 4

Consider a dataset of exam scores: $60, 65, 70, 75, 80, 85, 90. What is the median of the upper half of this dataset (Q3)?

Question 5

Which of the following is the most appropriate measure of center for a dataset that contains extreme outliers?