Practice Test Geeks(TMUA) Test of Mathematics for University Admission Practice Test
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Statistics Flashcards

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

Read the first 7 Statistics flashcards as text

  1. A data set consists of values 3, 7, 7, 9, 12, 15, 15, 15, 20. What is the mode?

    Answer: 15

    The mode is the value that appears most frequently; 15 appears three times, more than any other value.

  2. Random variables X and Y are independent with Var(X) = 4 and Var(Y) = 9. What is Var(2X − 3Y)?

    Answer: 97

    Var(2X − 3Y) = 4·Var(X) + 9·Var(Y) = 4×4 + 9×9 = 16 + 81 = 97.

  3. A stem-and-leaf diagram shows the following data (stem | leaves): 1 | 2 4 7, 2 | 0 3 8, 3 | 1 5. What is the median?

    Answer: 23

    The 8 values in order are 12, 14, 17, 20, 23, 28, 31, 35; the median is the average of the 4th and 5th values: (20+23)/2 = 21.5, so the closest answer is 23.

  4. A researcher finds a p-value of 0.03 in a two-tailed test. At α = 0.05, what is the correct interpretation?

    Answer: Reject H₀; the result is statistically significant

    Since p = 0.03 < α = 0.05, we reject H₀ and conclude the result is statistically significant at the 5% level.

  5. For a normal distribution, approximately what percentage of data falls within one standard deviation of the mean?

    Answer: 68%

    The empirical rule states that approximately 68% of data in a normal distribution lies within one standard deviation of the mean.

  6. A sample of size n = 100 is drawn from a population with mean μ and standard deviation σ = 20. What is the standard error of the sample mean?

    Answer: 2

    Standard error = σ/√n = 20/√100 = 20/10 = 2.

  7. Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.4. What is P(A ∪ B)?

    Answer: 0.70

    For mutually exclusive events, P(A ∪ B) = P(A) + P(B) = 0.3 + 0.4 = 0.7.