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Problem Solving and Data Analysis Flashcards

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

Read the first 8 Problem Solving and Data Analysis flashcards as text

  1. A data set has mean 50 and standard deviation 8. Which score is exactly 2 standard deviations above the mean?

    Answer: 66

    2 standard deviations above the mean = 50 + 2(8) = 50 + 16 = 66.

  2. A two-way table shows: 30 athletes study math, 20 non-athletes study math, 70 athletes don't study math, 40 non-athletes don't study math. What is the probability that a randomly chosen athlete studies math?

    Answer: 3/10

    Total athletes = 30+70 = 100. Athletes who study math = 30. P = 30/100 = 3/10.

  3. A random sample of 50 voters showed 30 support Candidate A. Based on this, what is the best estimate of the percentage of all voters who support Candidate A?

    Answer: 60%

    Sample proportion = 30/50 = 0.60 = 60%. This is the best estimate for the population proportion.

  4. The table shows: Product X has mean rating 4.2 and standard deviation 0.5; Product Y has mean rating 3.8 and standard deviation 1.2. Which statement is correct?

    Answer: Product X has more consistent ratings than Product Y

    Lower standard deviation means more consistent. Product X has SD=0.5 vs Y's SD=1.2, so X is more consistent.

  5. A store tracks daily customers for a week: 45, 52, 38, 61, 55, 48, 50. What is the range of this data?

    Answer: 23

    Range = maximum - minimum = 61 - 38 = 23.

  6. If a fair six-sided die is rolled twice, what is the probability of getting a sum of 8?

    Answer: 5/36

    Pairs summing to 8: (2,6),(3,5),(4,4),(5,3),(6,2) = 5 pairs. Total = 36. P = 5/36.

  7. Which measure of central tendency would be most affected by adding the outlier 200 to the data set {10, 12, 11, 13, 14}?

    Answer: Mean

    The mean is most sensitive to outliers. Adding 200 dramatically increases the mean but barely changes the median.

  8. A scatter plot shows a negative correlation between price and units sold. If the line of best fit is y = -5x + 300, approximately how many units are sold when price x = 40?

    Answer: 100

    y = -5(40) + 300 = -200 + 300 = 100.