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Introductory Statistics Practice Quiz & Questions

Take a free practice quiz or point your phone at any Intro Statistics exam question for an instant, explained answer — hypothesis tests and probability made clear, without the guesswork.

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Intro Stats questions often ask you to pick the right concept for a scenario — mean vs. median, which distribution applies, whether to reject a null hypothesis — and the setup usually buries a detail that determines the correct choice. Cambo reads the exact scenario and explains which concept applies and why the numbers support it.

Test yourself with real practice questions.

A dataset of home prices includes a few extremely expensive mansions that pull the average up. Which measure of central tendency is least affected by these outliers?

  1. AThe mean
  2. BThe median
  3. CThe range
  4. DThe standard deviation
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Answer
BThe median
The median — since it's based on the middle value's position rather than the sum of all values, it isn't dragged up or down by a small number of extreme outliers the way the mean is.

A fair six-sided die is rolled once. What is the probability of rolling a number greater than 4?

  1. A1/6
  2. B1/3
  3. C1/2
  4. D2/3
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Answer
B1/3
1/3 — only 5 and 6 are greater than 4, giving 2 favorable outcomes out of 6 possible outcomes, which simplifies to 1/3.

In hypothesis testing, a p-value of 0.02 is obtained with a significance level (alpha) of 0.05. What is the correct conclusion?

  1. AFail to reject the null hypothesis, since 0.02 is a small number
  2. BReject the null hypothesis, since the p-value is less than alpha
  3. CAccept the alternative hypothesis as proven true
  4. DThe test is inconclusive and must be repeated
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Answer
BReject the null hypothesis, since the p-value is less than alpha
Reject the null hypothesis — when the p-value is less than the chosen significance level, the result is considered statistically significant enough to reject the null hypothesis in favor of the alternative.

A 95% confidence interval for a population mean is calculated as (48, 56). What is the correct interpretation?

  1. AThere is a 95% probability that any individual data point falls between 48 and 56
  2. BWe are 95% confident that the true population mean lies between 48 and 56
  3. C95% of the sample data falls between 48 and 56
  4. DThe population mean is definitely between 48 and 56
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Answer
BWe are 95% confident that the true population mean lies between 48 and 56
We are 95% confident that the interval (48, 56) captures the true population mean — this reflects the reliability of the method used to construct the interval across repeated sampling, not a probability statement about one fixed interval.

Which type of variable would 'number of siblings' be classified as?

  1. AContinuous quantitative
  2. BDiscrete quantitative
  3. CCategorical/nominal
  4. DCategorical/ordinal
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Answer
BDiscrete quantitative
Discrete quantitative — it's a numeric variable that can only take specific countable values (0, 1, 2, 3...), unlike a continuous variable such as height, which can take any value within a range.

A dataset has a standard deviation of 0. What does this indicate?

  1. AThe data is normally distributed
  2. BEvery value in the dataset is identical
  3. CThe dataset has no mean
  4. DThe sample size is too small to calculate variability
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Answer
BEvery value in the dataset is identical
A standard deviation of 0 means there is no spread at all — every value in the dataset is exactly the same, since standard deviation measures how much values differ from the mean.
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Also known as.

Same course, different course code depending on your school.

Questions, answered.

What topics does Introductory Statistics usually cover?

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Descriptive statistics (mean, median, standard deviation), probability basics, sampling distributions, confidence intervals, hypothesis testing, and typically an introduction to correlation and simple linear regression.

Do I need calculus for Intro Statistics?

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No — most introductory statistics courses are algebra-based and don't require calculus, unlike a 'mathematical statistics' course, which typically does.

Is Intro Statistics usually curved?

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It varies by instructor, but many large-lecture stats sections do curve exams given the mix of calculation and conceptual interpretation questions, which can produce a wide score spread.

Is Cambo affiliated with McGraw Hill, Pearson, Cengage, or any university?

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No. Cambo is an independent study tool and isn't produced, endorsed, or affiliated with any textbook publisher or university.

Which majors typically require Intro Statistics?

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It's commonly required for business, psychology, sociology, biology, nursing, and many other social science and health-related majors, in addition to being a common general math gen-ed option.

How many credit hours is Intro Statistics usually worth?

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Typically 3 credit hours, often satisfying a quantitative reasoning or math gen-ed requirement.

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