Data Analysis & Problem-Solving - Detailed Syllabus

Cracking the Code of Data Analysis & Problem-Solving on the Digital SAT

A Strategic Guide to Mastering Quantitative Reasoning

The Data Analysis & Problem-Solving section of the Digital SAT Math test evaluates your ability to work with data, make logical inferences, and apply quantitative reasoning to various situations. To excel in this section, you must develop a strong foundation in key concepts and practice applying them to a variety of problems.

Dissecting the Data Analysis & Problem-Solving Syllabus

While the Digital SAT doesn't explicitly outline a dedicated syllabus for Data Analysis & Problem-Solving, the test does delve into several key areas:

1. Ratios, Rates, and Proportional Relationships

• Understand ratios, rates, and unit rates.
• Set up and solve proportions.
• Apply proportional reasoning to real-world scenarios.

2. Percentages

• Convert between percentages, decimals, and fractions.
• Calculate percentages of quantities.
• Solve percentage increase/decrease problems.

3. One-Variable Data Analysis

• Calculate and interpret measures of center (mean, median, mode).
• Calculate and interpret measures of spread (range, standard deviation).
• Analyze data presented in histograms, box plots, and dot plots.

4. Two-Variable Data Analysis

• Interpret scatterplots and identify patterns.
• Draw and interpret a line of best fit.
• Understand correlation (positive, negative, or no correlation).

5. Probability and Conditional Probability

• Calculate the probability of simple events.
• Understand independent events and mutually exclusive events.
• (Optional) Be familiar with the concept of conditional probability.

6. Statistical Inferences and Data Interpretation

• Draw conclusions or make predictions based on data.
• Evaluate statistical claims and identify potential biases.

Illustrative Sample Questions

1. Ratios and Proportions

• Calculate the actual distance between two cities on a map, given the scale of the map.

2. Percentages

• Determine the sale price of an item after a discount is applied.

3. One-Variable Data Analysis

• Calculate the mean and median of a set of quiz scores.

4. Scatterplots and Line of Best Fit

• Interpret the correlation between two variables based on a scatterplot.

By mastering these concepts and practicing with a variety of problems, you can significantly improve your performance on the Data Analysis & Problem-Solving section of the Digital SAT Math test