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The Uniform Distribution Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. The square footage data for the 28 homes is described by which distribution notation?

    • X ~ U(1.5, 4.5)
    • X ~ U(0.5, 9.5)
    • X ~ U(0, 12)
    • X ~ U(1.5, 4.0)
    Reveal answer

    Answer: X ~ U(1.5, 4.5)

    Source evidence

    PDF page 271: The distribution can be written as X ~ U(1.5, 4.5).

  2. For the 28-home square footage data, what is the sample mean?

    • 0.8302
    • 3.60
    • 2.50
    • 4.50
    Reveal answer

    Answer: 2.50

    Source evidence

    PDF page 271: The sample mean = 2.50 and the sample standard deviation = 0.8302.

  3. For the 28-home square footage data, what is the sample standard deviation?

    • 0.8302
    • 1.50
    • 2.50
    • 4.50
    Reveal answer

    Answer: 0.8302

    Source evidence

    PDF page 271: The sample mean = 2.50 and the sample standard deviation = 0.8302.

  4. In the distribution X ~ U(0, 12), what is the highest value that x can take?

    • 12
    • 0
    • 9.5
    • 4
    Reveal answer

    Answer: 12

    Source evidence

    PDF page 271: Use the following information to answer the next eight exercises. A distribution is given as X ~ U(0, 12).

  5. The age of cars in the staff parking lot is uniformly distributed from what lowest age?

    • 1.5 years
    • 6 years
    • 0.5 years
    • 0 years
    Reveal answer

    Answer: 0.5 years

    Source evidence

    PDF page 271: Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.

  6. How many homes are described in the square footage data set?

    • 14
    • 12
    • 28
    • 9
    Reveal answer

    Answer: 28

    Source evidence

    PDF page 270: Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

  7. For the car age problem, part b asks to identify the lowest value for which variable?

    • x
    • P
    • k
    • y
    Reveal answer

    Answer: x

    Source evidence

    PDF page 272: b. Identify the following values:

    PDF page 272: i. Lowest value for x : _______

  8. In the car age exercises, what conditional probability is asked to be found?

    • P(x > 2)
    • P(x < 4 | x < 7.5)
    • P(x = 4)
    • P(x < 4)
    Reveal answer

    Answer: P(x < 4 | x < 7.5)

    Source evidence

    PDF page 273: b. Find the probability. P(x < 4 | x < 7.5) = _______

  9. For the U(0, 12) distribution, which probability is requested in part b?

    • P(x < 7.5)
    • P(x > 4)
    • P(x = 4)
    • P(x < 4)
    Reveal answer

    Answer: P(x < 4)

    Source evidence

    PDF page 272: b. Find the probability. P(x < 4) = _______

  10. In the car age problem, the value k is found such that P(x < k) equals what?

    • 1.00
    • 0.25
    • 0.50
    • 0.75
    Reveal answer

    Answer: 0.75

    Source evidence

    PDF page 273: b. Find the value k such that P(x < k) = 0.75.

  11. In the car age problem, the value k found corresponds to which quartile?

    • Second quartile
    • First quartile
    • Third quartile
    • Median
    Reveal answer

    Answer: Third quartile

    Source evidence

    PDF page 273: c. The third quartile is _______

  12. When sketching the uniform distribution graph, which value must be identified?

    • Radius of the curve
    • Slope of the line
    • Peak of the bell
    • Height of the rectangle
    Reveal answer

    Answer: Height of the rectangle

    Source evidence

    PDF page 272: iii. Height of the rectangle: _______

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