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SDS Statistics and probability

Written by Saad Rahman (ACCA)

7 ACCA New at Strategic Professional level questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The mean of 12, 15, 11, 18 and 14 is:

    • 1 14.0
    • 2 15.0
    • 3 12.0
    • 4 13.5
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    Correct answer: 14.0

    The sum is 70 and 70 / 5 = 14.

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  2. Which measure of central tendency is least affected by an extreme outlier?

    • 1 Mean
    • 2 Range
    • 3 Variance
    • 4 Median
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    Correct answer: Median

    The median depends on the middle position, not on the size of the extreme values.

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  3. A correlation coefficient of -0.9 between two variables means:

    • 1 A strong negative linear relationship
    • 2 A weak positive relationship
    • 3 No relationship
    • 4 One causes the other
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    Correct answer: A strong negative linear relationship

    The sign shows the direction and the size shows the strength, and correlation does not show cause.

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  4. A p-value of 0.03 at a 5 percent significance level leads to:

    • 1 Proving the alternative is true
    • 2 Rejecting the null hypothesis
    • 3 No conclusion
    • 4 Accepting the null hypothesis as true
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    Correct answer: Rejecting the null hypothesis

    The p-value is below 0.05, so the result is statistically significant at that level.

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  5. Rejecting a null hypothesis that is actually true is a:

    • 1 Type I error
    • 2 Rounding error
    • 3 Sampling error only
    • 4 Type II error
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    Correct answer: Type I error

    A Type II error is failing to reject a false null hypothesis.

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  6. 2 percent of invoices are fraudulent. A test flags 90 percent of fraudulent and 5 percent of genuine invoices. The probability that a flagged invoice is fraudulent is closest to:

    • 1 2%
    • 2 95%
    • 3 27%
    • 4 90%
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    Correct answer: 27%

    0.018 / (0.018 + 0.049) = 0.269.

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  7. The expected value of an action with a 60 percent chance of $10,000 and a 40 percent chance of -$5,000 is:

    • 1 $5,000
    • 2 $2,000
    • 3 $6,000
    • 4 $4,000
    Show answer

    Correct answer: $4,000

    0.6 x 10,000 + 0.4 x (-5,000) = 6,000 - 2,000 = 4,000.

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