3. Descriptive Statistics

Percentiles Zscores — Quiz

Test your understanding of percentiles zscores with 5 practice questions.

Practice Questions

Question 1

A student's score on a standardized test is at the $75^{th}$ percentile. If the test scores are normally distributed, what is the approximate z-score corresponding to this percentile?

Question 2

In a dataset, a raw score of $120$ has a z-score of $2$. If the standard deviation of the dataset is $10$, what is the mean ($\mu$) of the dataset?

Question 3

A company's employee performance scores are normally distributed with a mean of $70$ and a standard deviation of $5$. An employee scores $80$. What is the percentile rank of this employee's score?

Question 4

If a student's raw score is below the mean of a distribution, which of the following statements about their z-score and percentile is true?

Question 5

A test has a mean score of $65$ and a standard deviation of $7$. If a student's z-score is $-1.5$, what is their raw score ($x$)?