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MATH 120: Introduction to Statistics – Lime Spring Week 8 Final Exam 2026

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Ace your Statistics final exam with this comprehensive review, covering key concepts, formulas, and practice problems from Lime Spring’s MATH 120 course. Includes step-by-step solutions and exam-taking strategies to boost your confidence. Key Topics Covered Descriptive Statistics Measures of center (mean, median, mode) Measures of spread (range, variance, standard deviation) Box plots & outliers (IQR method) Probability & Distributions Basic probability rules (addition, multiplication) Binomial & normal distributions Z-scores & empirical rule Inferential Statistics Confidence intervals (mean & proportion) Hypothesis testing (null vs. alternative, p-values) t-tests & chi-square tests Correlation & Regression Scatterplots & correlation coefficient (r) Linear regression (slope, intercept, predictions)

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MATH 120: Introduction to Statistics
Lime Spring Week 8 Final Exam


1. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
What is the mean of the scores?
A: 87.

2. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
What is the median of the scores?
A: 88.

3. 10 students take an exam and earn the following scores: 86, 96, 90, 92, 79, 94, 86, 74, 82, and 91
What is the mode of the scores?
A: 86.

4. While conducting market research, an automobile manufacturer looks at the number of SUVs
and sedans produced in the prior year. What type of data is this?
A: Quantitative data.

5. While conducting market research, an automobile manufacturer asks consumers about their
preferences between SUVs and sedans. What type of data is this?
A: Qualitative data.

6. A political think tank wants to conduct a poll of likely voters in a state. If the think tank breaks
the state into 20 groups with common characteristics and then randomly samples each group,
what type of sampling is this?
A: Stratified sampling.



7. A research team at a medical device manufacturer wants FDA approval for the manufacturer's
latest product. The team sets up a study where half of the participants in the study use the
device and half of the participants in the study do not. When the study is over, the research
team compares the results of the two groups. Which type of study is this?
A: Experimental study.



8. If 10,000 students take a standardized test, which type of graph would be most helpful for
understanding the data?
A: A histogram..

, 9. If the graph is displaying the estimated value of homes in an area, approximately what is the
average home value?




A: $375K.

10. Which answer explains why the average home value is above the median home value?




A: A few outlier home values are skewing the average high.



11. If there is a 30% chance of rain each of the next two days, what is the probability of rain both
days? (Assume rain is an independent event.)

A: 9%



12. If there is a 60% chance of rain each of the next two days, what is the probability that it does not
rain on either day? (Assume rain is an independent event.)
A: 16%


13. Roulette is a game of chance using a wheel with 38 colored pockets and a ball that randomly
lands in one of the colored pockets. In the American version of roulette, there are 18 red
pockets, 18 black pockets, and 2 green pockets. What is the probability that a gambler betting on
green will win?
A: 16

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