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Calculating the probability with normal distributions

Quiz by Jaclyn Brennecke

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10 questions
Show answers
  • Q1
    What is the Z-score formula?
    Z = (x + μ) * 𝜎
    Z = (x + μ) / 𝜎
    Z = (x - μ) / 𝜎
    Z = (x - μ) *𝜎
    30s
  • Q2
    What is the area under the normal curve?
    3
    0%
    1
    2
    30s
  • Q3
    What is the empirical rule in normal distribution?
    70-95-99
    68-95-99.7
    68-90-99
    90-95-99.7
    30s
  • Q4
    What is the term for the standard deviation of a sampling distribution?
    Standard deviation
    Mean
    Variance
    Standard error
    30s
  • Q5
    What percentage of data falls within one standard deviation of the mean in a normal distribution?
    2.5%
    34%
    68%
    16%
    30s
  • Q6
    What percentage of data falls within two standard deviations of the mean in a normal distribution?
    95%
    47.5%
    68%
    99.7%
    30s
  • Q7
    What percentage of data falls within three standard deviations of the mean in a normal distribution?
    68%
    99.7%
    79.5%
    95%
    30s
  • Q8
    If a data set is normally distributed and has a mean of 50 and a standard deviation of 5, what is the range that covers 68% of the data?
    Between 40 and 60
    Between 30 and 70
    Between 35 and 65
    Between 45 and 55
    30s
  • Q9
    If a data set is normally distributed and has a mean of 70 and a standard deviation of 10, what is the range that covers 95% of the data?
    Between 60 and 80
    Between 50 and 90
    Between 40 and 100
    Between 30 and 110
    30s
  • Q10
    If a data set is normally distributed and has a mean of 100 and a standard deviation of 15, what is the range that covers 99.7% of the data?
    Between 85 and 115
    Between 55 and 145
    Between 90 and 110
    Between 70 and 130
    30s

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