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Finding z scores from a normal distribution

Quiz by Michael Walker

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14 questions
Show answers
  • Q1
    A set of data has a mean of 100 and a standard deviation of 20. What is the z-score for a value of 140 in this data set?
    2
    1
    3
    -2
    30s
  • Q2
    In a normal distribution, if the mean of the dataset is 45 and the standard deviation is 5, what would be the z score for the value 55?
    1
    2
    10
    -2
    30s
  • Q3
    The mean of an exam score is 85 and the standard deviation is 15. What is the z-score of a student who scored 105 on the exam?
    2.0
    0.75
    1.5
    1.33
    30s
  • Q4
    The average height of a species of tree is 15 feet, with a standard deviation of 3 feet. What is the z-score corresponding to a tree of this species that is 21 feet tall?
    1
    3
    -2
    2
    30s
  • Q5
    If the average weight of a bag of apples is 5kg with a standard deviation of 0.5kg, what is the z-score for a bag that weighs 4.5kg?
    -0.5
    0.5
    1
    -1
    30s
  • Q6
    For a data set, the mean is 20 and the standard deviation is 2. What is the z-score of a data value of 24?
    -2
    4
    1
    2
    30s
  • Q7
    A group of students has an average height of 160 cm with a standard deviation of 10 cm. What is the z score for a student who is 180 cm tall?
    2
    1.5
    1
    0.5
    30s
  • Q8
    The mean score on a test is 90 with a standard deviation of 5. What is the z score for a student who scored 75 on the test?
    1.5
    3
    -3
    -1.5
    30s
  • Q9
    A height of a person is normally distributed with a mean of 170 cm and a standard deviation of 10 cm. What is the z-score for a person who is 180 cm tall?
    0.5
    2
    0
    1
    30s
  • Q10
    The daily production levels of a factory are normally distributed with a mean of 200 units and a standard deviation of 30 units. Find the z-score for a day when the production was 260 units.
    2.5
    2
    3
    1.5
    30s
  • Q11
    In a certain city, the annual rainfall is normally distributed with a mean of 750mm and a standard deviation of 50mm. What is the z-score for a year with 650mm of rainfall?
    -1
    -2
    2
    1
    30s
  • Q12
    The annual salaries in a certain company are normally distributed with a mean of $50,000 and a standard deviation of $5,000. What is the z-score for an employee who makes $65,000?
    1.5
    3
    2
    4
    30s
  • Q13
    In a factory, the length of screws is normally distributed with a mean of 5 cm and a standard deviation of 0.5 cm. What is the z-score for a screw that is 4 cm long?
    1
    2
    -1
    -2
    30s
  • Q14
    Temperature readings from a weather station are normally distributed with an average value of 20°C and a standard deviation of 3°C. What is the z-score of a day with a temperature of 17°C?
    -1
    0.5
    -0.5
    1
    30s

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