Statistics and Probability questions for the ASP
ASP11 Domain 1: Mathematical Calculations (1.x Descriptive statistics; probability (fault tree gates)). 3 free questions below. Every answer quotes and links the formula source it rests on.
Question 1Calculation
Over 6 audits, a contractor's housekeeping scores (out of 10) were: 2, 6, 4, 5, 8, 6. What is the mean score?
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Answer: B. 5.17
Mean = sum / count = 31 / 6 = 5.17.
Answer B rests on
NIST/SEMATECH e-Handbook of Statistical Methods, 1.3.5.1 Measures of Location and 1.3.5.6 Measures of Scale(opens ecfr.gov in a new tab)“mean - the mean is the sum of the data points divided by the number of data points. ... median - the median is the value of the point which has half the data smaller than that point and half the data larger than that point. ... standard deviation - the standard deviation is the square root of the variance.”
Question 2Calculation
Over 8 audits, a contractor's housekeeping scores (out of 10) were: 7, 7, 6, 6, 6, 5, 4, 7. What is the mean score?
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Answer: C. 6.00
Mean = sum / count = 48 / 8 = 6.00.
Answer C rests on
NIST/SEMATECH e-Handbook of Statistical Methods, 1.3.5.1 Measures of Location and 1.3.5.6 Measures of Scale(opens ecfr.gov in a new tab)“mean - the mean is the sum of the data points divided by the number of data points. ... median - the median is the value of the point which has half the data smaller than that point and half the data larger than that point. ... standard deviation - the standard deviation is the square root of the variance.”
Question 3Calculation
Over 7 audits, a contractor's housekeeping scores (out of 10) were: 4, 1, 3, 9, 8, 2, 9. What is the mean score?
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Answer: D. 5.14
Mean = sum / count = 36 / 7 = 5.14.
Answer D rests on
NIST/SEMATECH e-Handbook of Statistical Methods, 1.3.5.1 Measures of Location and 1.3.5.6 Measures of Scale(opens ecfr.gov in a new tab)“mean - the mean is the sum of the data points divided by the number of data points. ... median - the median is the value of the point which has half the data smaller than that point and half the data larger than that point. ... standard deviation - the standard deviation is the square root of the variance.”
23 more statistics and probability questions in the full ASP bank
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