Lesson 2c.06

2c.06 Use calculated or given means and standard deviation to standardise and interpret data... Quiz: Pearson Edexcel Statistics, Unit 2

20 questions

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Lesson 2c.06, Use calculated or given means and standard deviation to standardise and interpret data...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 2: Processing, representing and analysing data, written with Revision Ninja.

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The 20 questions

  1. What is the standardised score formula?

    • (x - mean) / standard deviation
    • (x - mean) x standard deviation
    • (x - median) / interquartile range
    • (x - mode) / standard deviation
  2. A value of 70 has mean 60 and SD 5. What is its standardised score?

    • 2
    • 10
    • 0.5
    • 14
  3. A value of 48 has mean 55 and SD 7. What is its standardised score?

    • -1
    • -0.5
    • -7
    • 1
  4. Which test performance is relatively better: Test A (score 72, mean 60, SD 6) or Test B (score 65, mean 50, SD 10)?

    • Cannot determine
    • Both equal
    • Test A
    • Test B
  5. What does a standardised score of exactly zero mean?

    • Equals the mean
    • Equals zero
    • Above the mean
    • Below the mean
  6. A student scores z = +1.5 in maths and z = +0.5 in English. In which subject are they relatively stronger?

    • Equal
    • Cannot determine
    • English
    • Maths
  7. Mean 20 and SD 4. What value has a standardised score of -2?

    • 12
    • 8
    • 24
    • 28
  8. What is the primary benefit of standardising data values?

    • Removes all decimals
    • Finds the median
    • Enables direct comparison
    • Identifies the mode
  9. What does a standardised z-score of -3 indicate?

    • Three units below mean
    • Three standard deviations below
    • Three standard deviations above
    • Three times the mean
  10. Class A has mean 50 and SD 10. Class B has mean 40 and SD 5. A student from A scores 60, and a student from B scores 50. Who performs better relative to their class?

    • They are equal
    • Cannot tell
    • The student from A
    • The student from B
  11. Which two statistical measures are required to calculate a standard z-score?

    • Median and interquartile range
    • Mean and standard deviation
    • Mode and total frequency
    • Range and geometric mean
  12. What is a standardised score of +3 typically treated as in statistics?

    • Zero variance
    • Guaranteed median
    • Possible outlier
    • Base index
  13. A student's z-score in a test is 0.8. How should this be interpreted?

    • 0.8 standard deviations below
    • 0.8 units above
    • 0.8 standard deviations above
    • 80% above the mean
  14. The sample mean is 58 and the SD is 4. Which of 50, 60, 62 or 54 has the highest standardised score?

    • 60
    • 62
    • 50
    • 54
  15. Why is standardising variables particularly useful when comparing measurements like height and weight?

    • Removes outliers automatically
    • Removes different units
    • Converts data to percentages
    • Forces a normal distribution
  16. Set X has mean 50 and SD 5 (value 60). Set Y has mean 80 and SD 10 (value 90). Which value is relatively higher?

    • Neither
    • Value in X
    • Both equal
    • Value in Y
  17. A data set has mean 60 and SD 8. Which value has a standardised score of 1.5?

    • 75
    • 12
    • 72
    • 68
  18. Which summary statistic is NOT used when calculating standardised z-scores?

    • Mean
    • Standard deviation
    • Median
    • Observed value
  19. A set has mean 25 and SD 5. Which value has a standardised score of 2.4?

    • 12
    • 37
    • 27.5
    • 30
  20. Which situation yields a z-score closest to zero?

    • Value 70, mean 100, SD 10
    • Value 20, mean 21, SD 3
    • Value 12, mean 10, SD 2
    • Value 55, mean 50, SD 5

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