Problems with Solutions and Explanations 2026/2027
Practice case 1
Describing weekly sales
Five weekly unit-sales observations are 10, 12, 12, 16, and 20. Treat these as the
complete data set for these descriptive questions.
1. How many observations are present?
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2. Find the arithmetic mean.
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3. Find the median.
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4. Find the mode.
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5. Find the range.
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,Practice case 2
Sample dispersion
A random sample of four service times is 2, 4, 6, and 8 minutes. Use sample variance,
not population variance.
6. Find the sample mean.
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7. Find the sum of squared deviations.
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8. Find the sample variance.
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9. Find the sample standard deviation.
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10. Find the sample coefficient of variation.
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,Practice case 3
Weighted observations
Ten invoices have values of $50 for 2 invoices, $60 for 3 invoices, and $80 for 5
invoices.
11. Find the total invoice value.
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12. Find the mean invoice value.
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13. What proportion of invoices are $80?
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14. What percentage of total dollar value comes from $80 invoices?
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15. Find the median invoice value.
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, Practice case 4
Events and overlap
In a customer population, P(A) = 0.40, P(B) = 0.30, and P(A and B) = 0.10.
16. Find P(A or B).
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17. Find P(neither A nor B).
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18. Find P(A given B).
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19. Are A and B independent?
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20. Are A and B mutually exclusive?
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