SAT · Math · Problem-Solving and Data Analysis

One-Variable Data on the Digital SAT: How to Answer These Questions

Whether you can read distributions and compare measures of center and spread.

How to answer it

  1. Compute or estimate each measure before and after the change.
  2. Remember the median depends only on the middle values.
  3. Compare the size of each change.

Worked example

An original question in the SAT format, already answered.

SAT MathWorked example

The data set 4, 7, 7, 9, 13 gains one more value, 30.

Which measure of the data set increases the most?

  1. AMode
  2. BMedian
  3. CMean
  4. DNone of them change

Answer: C. The mean goes from 40 ÷ 5 = 8 to 70 ÷ 6 ≈ 11.7. The median goes from 7 to 8, and the mode stays 7.

The most common trap

Assuming all centers move together. Outliers pull the mean much more than the median.

Practice it

Hourly Prep’s daily sets mix one-variable data with the rest of SAT Math, and send more of it your way when it’s a weak spot. See how the SAT prep plan works, or browse the other SAT skill guides.

Primary sources

Keep going

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Ratios, Rates, Proportions, and Units

Set up a proportion with matching units in the same positions, then solve. Convert units before you compare them.

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Percentages

Percent change is the change divided by the original amount. Take the base from the starting value, not the new one.

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Two-Variable Data

On a scatterplot, the slope of the line of best fit is the predicted change in y for each one-unit increase in x.

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Probability and Conditional Probability

Probability is favorable outcomes over possible outcomes. For conditional probability, the group in the condition becomes the denominator.

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Practice one-variable data in 15 minutes a day.

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