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Quizzes > Mathematics > Advanced Math

Ready to Ace Your Statistics Final Exam? Take the Quiz!

Think you can tackle our MCQ statistics test? Dive in and boost your stats skills!

Editorial: Review CompletedCreated By: Jessica HowardUpdated Aug 24, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper cut illustration of charts graphs math symbols question marks boxes on yellow background promoting free stats quiz

This Statistics Final Exam quiz helps you practice core statistics topics with realistic multiple-choice questions. Use it to spot gaps before the exam and see your score as you go. For extra drills, try the quick stats practice or more math MCQs .

What is the median of the data set 2, 5, 9, 12, 13?
9
12
8.2
10
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For a fair six-sided die, what is the probability of rolling an even number?
1/3
2/3
1/2
1/6
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The sample mean is an unbiased estimator of the population mean.
False
True
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Which measure is most affected by extreme outliers?
Mode
Mean
Interquartile range
Median
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The variance of a constant random variable is
1
Equal to the constant
0
Undefined
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For a binomial(n=10, p=0.3), what is the expected value?
0.3
7
3
10
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Which correlation coefficient measures linear association between two quantitative variables?
Spearman's rho
Kendall's tau
Pearson's r
Cramer's V
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In simple linear regression, R-squared represents the proportion of variance in Y explained by X.
False
True
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Which condition is required for a one-sample t-test on a mean when n is small?
Data are approximately normal
Population variance is known
Data are categorical
Sample is stratified
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The Central Limit Theorem states that sample means are approximately normal for large n, regardless of population distribution.
False
True
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Which transformation is commonly used to stabilize variance for right-skewed positive data?
Log transformation
No transformation
Reciprocal of log
Square transformation
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In multiple regression, multicollinearity primarily inflates which estimates?
Standard errors of coefficients
Intercept estimate
Residuals
Fitted values
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A 99% confidence interval is always shorter than a 90% confidence interval for the same data.
True
False
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Which method controls family-wise error rate in multiple comparisons following ANOVA?
Bonferroni correction
Increasing alpha
Using one-tailed tests
Tukey without adjustment
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In logistic regression, the coefficient for a predictor represents a change in which quantity per unit increase in the predictor?
Odds divided by probability
Mean of the outcome
Log-odds of the outcome
Variance of the outcome
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Bayes' theorem updates which quantity based on new evidence?
Prior odds only
Sampling distribution
Posterior probability
Likelihood only
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In a two-sided hypothesis test at alpha = 0.05, the critical z-values are approximately
±1.28
±2.58
±1.64
±1.96
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The likelihood function is viewed as a function of the parameters given the observed data.
False
True
undefined
Which method resamples with replacement from the observed data to estimate the sampling distribution of a statistic?
Permutation test
Bootstrap
Jackknife only
Cross-validation
undefined
For large samples, the Wald confidence interval for a proportion p is p-hat ± z* sqrt(p-hat(1-p-hat)/n).
False
True
undefined
0

Study Outcomes

  1. Understand Foundational Probability Distributions -

    Identify and describe the key characteristics of normal, binomial, and Poisson distributions to solve relevant statistics problems confidently.

  2. Apply Hypothesis Testing Procedures -

    Execute each step of hypothesis testing, including formulating null and alternative hypotheses and calculating p-values for decision making.

  3. Calculate Descriptive Statistics -

    Compute measures of central tendency and variability - such as mean, median, variance, and standard deviation - to summarize data sets effectively.

  4. Interpret Statistical Results -

    Analyze confidence intervals and test outcomes to draw meaningful conclusions and assess the strength of evidence.

  5. Evaluate Test Assumptions -

    Assess underlying conditions like normality and independence to ensure the validity of statistical tests in multiple-choice scenarios.

  6. Develop MCQ Test-Taking Strategies -

    Implement proven techniques for eliminating distractors, managing time, and boosting accuracy on statistics multiple choice quizzes.

Cheat Sheet

  1. Descriptive vs. Inferential Statistics -

    Descriptive statistics summarize data using measures like mean, median, and standard deviation, while inferential statistics use samples to draw conclusions about populations (e.g., t-tests and confidence intervals). Remember the mnemonic "Describe to Derive" to recall that we describe data first before making inferences. These foundations appear frequently in statistics final exam questions and answers to test your conceptual clarity.

  2. Key Probability Distributions -

    The Normal distribution (N(μ,σ²)) and Student's t-distribution are staples in MCQ statistics tests; use the 68-95-99.7 rule for Normal curves and switch to t when σ is unknown and n<30. Write out Z = (X−μ)/σ and t = (X̄−μ)/(s/√n) to reinforce formulas from reputable university resources. Practicing with distribution tables will boost your accuracy on final exam stats practice.

  3. Hypothesis Testing Framework -

    Every statistics test question hinges on specifying H₀ and H₝, choosing α (often 0.05), computing a test statistic, and comparing the p-value. A quick trick: if p ≤ α, "reject H₀," otherwise "fail to reject H₀." Solidifying this flow helps on fast-paced statistics multiple choice sections.

  4. Confidence Intervals Simplified -

    Confidence intervals estimate population parameters; the formula X̄ ± z*(σ/√n) (or t* for small samples) gives a range with, say, 95% certainty. Memorize "Mean plus-minus Margin" to recall that margin = critical value times standard error. Frequent practice on statistics test questions will make CI calculations second nature.

  5. Basics of Regression Analysis -

    Linear regression uses ŷ = b₀ + b₝x to model relationships; compute slope b₝ = Σ[(xᵢ−x̄)(yᵢ−ȳ)]/Σ(xᵢ−x̄)² and check R² for fit. A handy tip is "Slope from Covariance" to remember numerator ties to covariance and denominator to variance. These formula-driven points often appear in statistics quizzes to assess your applied understanding.

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