Advanced Statistical Literacy

Statistics

A challenging examination of foundational statistical principles, historical definitions, and core mathematical concepts.

mathematics data science

15 Questions Hard Ages 16+ Aug 2, 2026

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About this Study Set

This study set covers Statistics through 15 practice questions. A challenging examination of foundational statistical principles, historical definitions, and core mathematical concepts. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 15 questions from the Advanced Statistical Literacy study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 In a normal distribution, what percentage of the data falls within three standard deviations of the mean?

A 95.4%
B 99.7%
C 99.9%
D 95.0%

2 Which statistical term describes the extent to which a distribution's tail differs from the tails of a normal distribution?

A Skewness
B Kurtosis
C Variance
D Covariance

3 What is the value of the sum of the deviations of a set of numbers from their arithmetic mean?

A The mean
B The variance
C Zero
D The standard deviation

4 In hypothesis testing, what does a Type II error represent?

A Failing to reject a false null hypothesis
B Rejecting a true null hypothesis
C Accepting a true alternative hypothesis
D Failing to reject a true null hypothesis

5 Which measure of central tendency is most resistant to outliers?

A Mean
B Median
C Mode
D Geometric mean

6 The Central Limit Theorem states that the distribution of sample means will approach a normal distribution under which condition?

A As sample size increases
B As population variance decreases
C As the population becomes skewed
D As the number of outliers decreases

7 What is the range of a correlation coefficient (Pearson's r)?

A 0 to 1
B 0 to infinity
C -1 to 1
D -100 to 100

8 In a perfectly symmetrical distribution, which of the following is true?

A Mean is greater than median
B Mean equals median
C Median is greater than mode
D Mode is greater than mean

9 Which statistical concept describes the probability of observing a result at least as extreme as the one obtained, assuming the null hypothesis is true?

A Confidence interval
B Effect size
C P-value
D Standard error

10 What does the 'degrees of freedom' generally represent in a statistical test?

A The number of independent values that can vary
B The total sample size
C The number of outliers in a dataset
D The variance of the population

11 If a distribution is 'positively skewed', where is the tail located?

A To the left
B To the right
C Centered
D The distribution has no tail

12 What is the square root of the variance called?

A Standard deviation
B Mean deviation
C Range
D Interquartile range

13 Which of the following is a non-parametric test?

A T-test
B ANOVA
C Mann-Whitney U test
D Z-test

14 What is defined as the probability of correctly rejecting a false null hypothesis?

A Significance level
B Power of a test
C Confidence level
D Alpha level

15 Which graph is used to visualize the distribution of a continuous variable?

A Pie chart
B Bar chart
C Histogram
D Scatter plot

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