Home / Digital SAT Math- Evaluating statistical claims: observational studies and Experiments- Practice Questions

Digital SAT Math- Evaluating statistical claims: observational studies and Experiments- Practice Questions

DSAT MAth Practice questions – all topics

  • Problem-solving and Data Analysis Weightage: 15%  Questions: 5-7
    • Ratios, rates, proportional relationships, and units
    • Percentages
    • One-variable data: distributions and measures of centre and spread
    • Two-variable data: models and scatterplots
    • Probability and conditional probability
    • Inference from sample statistics and margin of error
    • Evaluating statistical claims: observational studies and Experiments

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DSAT MAth and English  – full syllabus practice tests

Question Easy

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?

A) At least 95% of people who go see movies will dislike this movie.

B) At least 95% of people who read books will dislike this movie.

C) Most people who dislike this book will like this movie.

D) Most people who like this book will dislike this movie.

▶️ Answer/Explanation
Solution

Ans: D

The sample consists of people who liked the book. Since 95% of them disliked the movie, most people who like the book will dislike the movie.

Choice A: Incorrect, sample not representative of all moviegoers.

Choice B: Incorrect, sample not representative of all book readers.

Choice C: Incorrect, sample only includes those who liked the book.

Question Easy

A sample of 50 employees from the finance department at Company XYZ was selected at random. The 50 employees completed a survey about a website’s ease of use, and \( 72\% \) of them thought the website was easy to use. Which of the following is the largest population to which the results of this survey can be generalized?

A) All employees in a finance department in the United States

B) All employees in Company XYZ

C) All employees in the finance department in Company XYZ

D) All employees in the sample

▶️ Answer/Explanation
Solution

Ans: C

The sample was randomly selected from the finance department at Company XYZ, so results can be generalized to that population.

Choice A: Incorrect, too broad (beyond Company XYZ).

Choice B: Incorrect, includes non-finance employees.

Choice D: Incorrect, too narrow (only the sample).

Question Easy

The dot plot below shows the 9 values of a data set with a mean value of \( a \) and a median value of \( b \).

Dot Plot of Data Set

The value of 46 is removed to create a new data set of 8 values with a mean value of \( y \) and a median value of \( z \). Which statement best compares the mean values and the median values for the two data sets?

A) \( a = y \) and \( b < z \)

B) \( a = y \) and \( b > z \)

C) \( a < y \) and \( b = z \)

D) \( a > y \) and \( b = z \)

▶️ Answer/Explanation
Solution

Ans: D

Removing the maximum value (46) decreases the mean: \( a > y \).

The median (5th value in ordered list) remains unchanged: \( b = z \).

Choice A: Incorrect, mean changes.

Choice B: Incorrect, mean changes.

Choice C: Incorrect, mean decreases, not increases.

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