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

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

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

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 Hard

A trivia tournament organizer wanted to study the relationship between the number of points a team scores in a trivia round and the number of hours that a team practices each week. For the study, the organizer selected 55 teams at random from all trivia teams in a certain tournament. The table displays the information for the 40 teams in the sample that practiced for at least 3 hours per week.

Trivia Team Data

Which of the following is the largest population to which the results of the study can be generalized?

A) All trivia teams in the tournament that scored 14 or more points in the round

B) The 55 trivia teams in the sample

C) The 40 trivia teams in the sample that practiced for at least 3 hours per week

D) All trivia teams in the tournament

▶️ Answer/Explanation
Solution

Ans: D

Random sample of 55 teams from all tournament teams allows generalization to all tournament teams.

Option A: Limited to teams scoring 14+ points (incorrect).

Option B: Limited to sample (incorrect).

Option C: Limited to subset of sample (incorrect).

Option D: All tournament teams (correct).

Question Hard

To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?

A) The mean number of children per household in the community is 2.4.

B) A determination about the mean number of children per household in the community should not be made because the sample size is too small.

C) The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.

D) The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.

▶️ Answer/Explanation
Solution

Ans: C

Surveying families at a playground biases toward those with children, making the sample unrepresentative.

Option A: Assumes unbiased mean (incorrect).

Option B: Size 20 can be sufficient if representative (incorrect).

Option C: Sampling method is flawed (correct).

Option D: Assumes unbiased method (incorrect).

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