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Problem Solving & Data Interpretation Flashcards

7 cards from real SATs practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. The ages of five employees are 22, 27, 31, 35, and 40. What is the interquartile range (IQR)?

    Answer: 13

    The median is 31; Q1 = (22+27)/2 = 24.5 and Q3 = (35+40)/2 = 37.5, so IQR = 37.5 − 24.5 = 13.

  2. A shirt originally costs $40. Its price is increased by 20%, then decreased by 20%. What is the final price?

    Answer: $38.40

    $40 × 1.20 = $48, then $48 × 0.80 = $38.40; percentage changes apply to the new value each time.

  3. A line graph shows that monthly sales were $8,000 in January and $12,000 in March. What was the average monthly increase from January to March?

    Answer: $2,000

    The total increase is $12,000 − $8,000 = $4,000 over 2 months, so the average monthly increase is $4,000 ÷ 2 = $2,000.

  4. In a group of 100 students, 40 play sports and 60 do not. Of those who play sports, 30 receive high grades; of those who do not play sports, 20 receive high grades. What is the probability that a randomly chosen high-grade student plays sports?

    Answer: 3/5

    Total high-grade students = 30 + 20 = 50; those who play sports = 30, so P = 30/50 = 3/5.

  5. A map uses a scale where 1 inch represents 25 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

    Answer: 87.5 miles

    3.5 inches × 25 miles per inch = 87.5 miles.

  6. A park ranger captures 40 deer, tags them, and releases them. Later, 60 deer are captured and 15 are tagged. Using mark-recapture, what is the estimated total deer population?

    Answer: 160

    Using the proportion 40/N = 15/60, solving gives N = (40 × 60) / 15 = 160.

  7. In a data set, one value is much larger than all the others (an outlier). What effect does this outlier have on the mean and median?

    Answer: The mean increases more than the median

    The mean uses all values and is pulled toward the outlier, while the median, being a positional measure, is largely unaffected.

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Problem Solving & Data Interpretation Flashcards — SATs Study Cards with Answers