Enhance Your Skills with Our SAT Problem Solving and Data Analysis Test/Quiz

SAT Math - Problem Solving and Data Analysis Practice Test

Test your SAT Math - Problem Solving & Data Analysis skills with 30 random practice test questions. Great for students preparing for the SAT Math - Problem Solving & Data Analysis section!

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1. The harmonic mean of a and b is 2ab/(a+b). For a=4, b=12:

A) 9

B) 8

C) 7

D) 6

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2. An experiment has matched pairs. The appropriate test is:

A) Chi-square

B) Two-sample t-test

C) Paired t-test

D) ANOVA

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3. For X~Binomial(n=10,p=0.3), the probability of at most 1 success:

A) 0.383

B) 0.028

C) 0.121

D) 0.149

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4. The interquartile range measures:

A) Middle 50% spread

B) Maximum spread

C) Mode spread

D) Total spread

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5. The Law of Large Numbers states:

A) Sample mean always equals population mean

B) Larger samples have less variance

C) All of the above

D) As n increases, sample mean approaches population mean

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6. A pie chart shows 30% for category A and 45% for B. What percent is in other categories?

A) 35%

B) 25%

C) 30%

D) 20%

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7. A manufacturing process produces items with mean diameter 5.00 cm and SD 0.02 cm. Items outside 2 SD are rejected. Rejection rate is approximately:

A) 10%

B) 2%

C) 5%

D) 32%

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8. A researcher doubles the sample size. The margin of error at the same confidence level:

A) Increases by factor √2

B) Decreases by factor √2

C) Halves

D) Doubles

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9. A confidence interval is (42, 58). The margin of error is:

A) 42

B) 58

C) 16

D) 8

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10. In a sample of 500 adults: 200 read daily. At 95% CI, margin of error≈

A) 3.5%

B) 4.4%

C) 4%

D) 5%

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11. The likelihood ratio test statistic -2 ln Λ is asymptotically distributed as:

A) Normal

B) F

C) t

D) χ²

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12. At a sale, all items are 30% off. A jacket marked $120 costs:

A) $82

B) $84

C) $80

D) $86

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13. For X and Y independent: Var(aX + bY) =

A) Var(X) + Var(Y)

B) ab·Var(X)Var(Y)

C) a·Var(X) + b·Var(Y)

D) a²Var(X) + b²Var(Y)

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14. Expected value of rolling a fair 6-sided die 10 times and summing:

A) 30

B) 40

C) 45

D) 35

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15. If inflation is 3% per year, price of $100 item after 2 years:

A) $105.50

B) $107

C) $106

D) $106.09

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16. In a two-way table: row totals are 80 and 120, column totals are 100 and 100. If one cell is 60, find the other three.

A) 20,40,80

B) 40,60,20... Table: [60,20;40,80]. Verify: row1=80✓,row2=120✓,col1=100✓,col2=100✓.

C) 40,40,80

D) 40,20,60

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17. A recipe uses 2 cups of sugar for 48 cookies. For 72 cookies, how much sugar?

A) 3.5

B) 3

C) 2.5

D) 4

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18. The power of a test (1-β) increases when:

A) Sample size decreases

B) Effect size decreases

C) Significance level α decreases

D) Effect size increases

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19. Expected value E(X) for: P(X=0)=0.2, P(X=1)=0.5, P(X=2)=0.3:

A) 1.3... wait: 0+0.5+0.6=1.1

B) 1.0

C) 1.2

D) 1.1

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20. A shirt costs $40 after a 20% discount. What was the original price?

A) $50

B) $52

C) $45

D) $48

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21. Temperatures over 5 days: 72, 68, 75, 80, 65. Mean temperature:

A) 74

B) 76

C) 72

D) 70

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22. The MLE for the mean of a normal distribution is the:

A) Sample mean

B) Sample median

C) Population mean

D) Sample mode

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23. A z-score of 2.1 means the data point is:

A) 2.1% from mean

B) 21% above mean

C) 2.1 SD above mean

D) 2.1 SD below mean

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24. For X~N(0,1), P(X>1.96) is approximately:

A) 0.10

B) 0.025

C) 0.975

D) 0.05

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25. A clinical study randomly assigns 300 patients: 150 get treatment, 150 get placebo. 90 treatment improve vs 60 placebo. What can we conclude?

A) The treatment is associated with improvement (observational)

B) The treatment causes improvement

C) Need larger sample

D) The treatment causes improvement (causal, due to random assignment)

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26. In a dataset where all values are equal, the standard deviation is:

A) 1

B) Equal to the mean

C) 0

D) Cannot be computed

27 / 30

27. A study reports a correlation of r = 0.95. This indicates:

A) Causation

B) Weak relationship

C) Strong positive linear relationship

D) Perfect relationship

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28. A store wants to sample 50 customers from 1000. The best sampling method to avoid bias:

A) Random sample using random numbers

B) Ask the first 50 who enter

C) Survey every 20th customer

D) Survey online only

29 / 30

29. A product's price elasticity is -2. If price increases 5%, quantity demanded changes by:

A) 5%

B) −10%

C) 10%

D) −5%

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30. A survey of 400 shows mean income $55,000 with SE=$2,000. 99% CI (z=2.576):

A) ($49,848, $60,152)

B) ($51,000, $59,000)

C) ($51,152, $58,848)

D) ($50,000, $60,000)

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