Practice Test Geeks(TMUA) Test of Mathematics for University Admission Practice Test
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Data Analysis & Statistical Interpretation 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 Data Analysis & Statistical Interpretation flashcards as text

  1. A box plot shows: minimum = 5, Q1 = 15, median = 25, Q3 = 40, maximum = 60. What is the range of the middle 50% of the data?

    Answer: 25

    The middle 50% spans from Q1 to Q3, giving IQR = 40 − 15 = 25.

  2. A histogram is positively skewed. Which ordering of the measures of centre is most likely correct?

    Answer: Mode < Median < Mean

    In a positively (right) skewed distribution, the tail pulls the mean rightmost, so Mode < Median < Mean.

  3. A probability distribution table shows X taking values 1, 2, 3, 4 with probabilities 0.1, 0.3, 0.4, 0.2. What is E(X)?

    Answer: 2.7

    E(X) = 1(0.1)+2(0.3)+3(0.4)+4(0.2) = 0.1+0.6+1.2+0.8 = 2.7.

  4. In a sample of 200 students, 80 play sport and 60 play an instrument. If 30 do both, how many do neither?

    Answer: 90

    Students doing at least one activity = 80+60−30 = 110; neither = 200−110 = 90.

  5. Which measure of spread is most resistant to extreme outliers?

    Answer: Interquartile range

    The IQR uses only the middle 50% of data and is unaffected by extreme outliers.

  6. A stem-and-leaf diagram has stems 1, 2, 3 with leaves: 1|2 5 8, 2|0 3 3 7, 3|1 4. What is the median?

    Answer: 23

    The 9 values in order are 12,15,18,20,23,23,27,31,34; the median (5th value) is 23.

  7. Two datasets each have 10 values. Dataset A has variance 4; Dataset B has variance 9. A new dataset is formed by multiplying every value in A by 3. What is the new variance of A?

    Answer: 36

    Multiplying all values by k multiplies the variance by k², so new variance = 4×9 = 36.