Home / Digital SAT Math: Two-variable data -models and scatterplots- Practice Questions

Digital SAT Math: Two-variable data -models and scatterplots- Practice Questions

Digital SAT Math: Two-variable data -models and scatterplots- Practice Questions - 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

DSAT MAth and English  – full syllabus practice tests

Question Easy

Scatterplot Data

Of the following, which is the best model for the data in the scatterplot?

A. \( y = 2x^2 – 11x – 20 \)

B. \( y = 2x^2 – 11x + 20 \)

C. \( y = 2x^2 – 5x – 3 \)

D. \( y = 2x^2 – 5x + 3 \)

▶️ Answer/Explanation
Solution

Ans: B

The scatterplot fits an upward parabola with y-intercept near (0, 20) and vertex at x ≈ 2.5.

Check y-intercept: B gives \( y = 2(0)^2 – 11(0) + 20 = 20 \), matching.

Vertex x ≈ 2.5: \( y = 2(2.5)^2 – 11(2.5) + 20 = 5 \), close to vertex y-value.

Question Easy

An orchard owner recorded the weight, in pounds, of all nectarines that grew on a dwarf nectarine tree during each growing season after the tree’s transplantation. The scatterplot shows this weight, in pounds, for each growing season after the tree’s transplantation.

Scatterplot of Nectarine Weights

What was the weight, to the nearest pound, of all nectarines that grew on the tree during the 4th growing season after the tree’s transplantation?

▶️ Answer/Explanation
Solution

Ans: 40

The scatterplot shows a data point at (4, 40).

Thus, during the 4th growing season, the weight of all nectarines was 40 pounds.

Question Easy

A museum built a scale model of the solar system throughout its city where 1 mile in the model represents an actual distance of 400,000,000 miles. The model of the Sun is \( x \) miles away from the model of Earth. Which expression represents the actual distance, in miles, between Earth and the Sun?

A) \( 400,000,000 x \)

B) \( 1,000,000 x \)

C) \( 400 x \)

D) \( \frac{x}{400} \)

▶️ Answer/Explanation
Solution

Ans: A

Scale: 1 mile in model = 400,000,000 miles actual.

Actual distance = \( x \times 400,000,000 \).

So, the expression is \( 400,000,000 x \).

Choice B: Incorrect, wrong multiplier.

Choice C: Incorrect, wrong multiplier.

Choice D: Incorrect, reverses the scale.

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