Lesson L4

L4 Outliers and cleaning data Quiz: AQA Maths, Unit 11

20 questions

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Lesson L4, Outliers and cleaning data: 20 multiple choice questions for the AQA Maths (7357), Unit 11: Statistics, written with Revision Ninja.

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The 20 questions

  1. What is the term for a data value that lies unusually far from other observations?

    • Variance point
    • Outlier
    • Anomalous median
    • Residual error
  2. Under the 1.5 x IQR rule, what upper boundary defines an outlier?

    • Q1 + 1.5 IQR
    • Q3 + 3 IQR
    • Q3 + IQR
    • Q3 + 1.5 IQR
  3. What is the correct first step when dealing with missing values in raw data?

    • Replace with mean
    • Delete all rows
    • Investigate the cause
    • Replace with zero
  4. What should be done if an outlier is confirmed to be a typing error?

    • Keep unchanged
    • Ignore the error
    • Correct the error
    • Replace with mean
  5. What effect does a single extreme outlier have on the mean of a data set?

    • Decreases variance
    • Changes the mode
    • Has no effect
    • Distorts towards outlier
  6. For the data 3, 5, 6, 7, 8, 9 and 40, which value is an outlier using the 1.5 IQR rule?

    • 3
    • 8
    • 9
    • 40
  7. For the data 3, 5, 6, 7, 8, 9 and 40, what is the mean including all values, to 1 decimal place?

    • 11.1
    • 7.0
    • 78
    • 6.3
  8. For the data 3, 5, 6, 7, 8, 9 and 40, what is the mean after removing the outlier 40, to 1 decimal place?

    • 6.3
    • 7.0
    • 9.0
    • 11.1
  9. For the data 3, 5, 6, 7, 8, 9 and 40, what is the median after removing the outlier 40?

    • 6.5
    • 7
    • 6
    • 7.5
  10. What should be investigated first before deciding how to handle missing data values?

    • Data skewness
    • Sample standard deviation
    • Cause of missingness
    • Interquartile range
  11. An adult height recorded in metres is listed as 170. What action is required?

    • Ignore the value
    • Keep as outlier
    • Remove data point
    • Check and correct
  12. Which statistical diagram is specifically designed to highlight outliers clearly using fences?

    • Cumulative frequency graph
    • Pie chart
    • Histogram
    • Box plot
  13. How should a genuine, non-erroneous extreme value in a data set be treated?

    • Replace with mean
    • Set to zero
    • Delete immediately
    • Retain and report
  14. Quartiles Q1 = 12 and Q3 = 20 are found for a data set. What is the upper fence for outliers?

    • 28
    • 32
    • 24
    • 36
  15. With Q1 = 12 and Q3 = 20, which of these values is an outlier?

    • 10
    • 25
    • 30
    • 33
  16. What effect does a single extreme outlier typically have on the standard deviation?

    • Makes it negative
    • Has no effect
    • Decreases it to zero
    • Increases it significantly
  17. An exam mark out of 100 is recorded in a database as 105. What is required?

    • Keep as outlier
    • Delete student record
    • Correct the error
    • Ignore the value
  18. Why are the median and IQR preferred for summarised data containing extreme outliers?

    • Always positive integers
    • Easier to calculate
    • Resistant to outliers
    • Use every value
  19. In the data set 1, 2, 3, 4, 100, which average is heavily distorted by the value 100?

    • Mode
    • Median
    • Lower quartile
    • Mean
  20. When outliers are removed during data cleaning, what must be documented in the report?

    • Population median
    • Reason for removal
    • Confidence intervals
    • Sample variance formula

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