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
-
What is the standardised score formula?
- (x - mean) / standard deviation
- (x - mean) x standard deviation
- (x - median) / interquartile range
- (x - mode) / standard deviation
-
A value of 70 has mean 60 and SD 5. What is its standardised score?
- 2
- 10
- 0.5
- 14
-
A value of 48 has mean 55 and SD 7. What is its standardised score?
- -1
- -0.5
- -7
- 1
-
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
-
What does a standardised score of exactly zero mean?
- Equals the mean
- Equals zero
- Above the mean
- Below the mean
-
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
-
Mean 20 and SD 4. What value has a standardised score of -2?
- 12
- 8
- 24
- 28
-
What is the primary benefit of standardising data values?
- Removes all decimals
- Finds the median
- Enables direct comparison
- Identifies the mode
-
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
-
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
-
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
-
What is a standardised score of +3 typically treated as in statistics?
- Zero variance
- Guaranteed median
- Possible outlier
- Base index
-
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
-
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
-
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
-
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
-
A data set has mean 60 and SD 8. Which value has a standardised score of 1.5?
- 75
- 12
- 72
- 68
-
Which summary statistic is NOT used when calculating standardised z-scores?
- Mean
- Standard deviation
- Median
- Observed value
-
A set has mean 25 and SD 5. Which value has a standardised score of 2.4?
- 12
- 37
- 27.5
- 30
-
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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