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Quiz

Week 1 - PC Lab

Shanks Namikaze 10 questions

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Questions in this quiz (10)

  1. 1A survey is being held to assess how well drivers think they can drive. Drivers are being asked how well they think they can drive, they find that: More than 75% of the drivers think they drive above average.

    What is meant by the average in statistics?
    1. AThe overall
    2. BThe median
    3. CThe range
    4. DThe mean
  2. 2Open the dataset in SPSS.

    How many units, and how many variables, have been measured?
    1. AUnits: 90; Variables: 90.
    2. BUnits: 30; Variables: 90.
    3. CUnits: 30; Variables: 3.
    4. DUnits: 90; Variables: 3.
  3. 3Given the fact that this scale is quite arbitrary, there are some validity issues, for example:

    First, for everybody this scale differs. Some will rate themselves with a 6 if they find themselves above average, whereas others will give themselves an 8 straightaway.
    Second, people tend to overestimate their own ability. So for example they would rate themselves a 6, whereas actually their skills equal a 5.
    What kind of measurement errors are described in 1 and 2?
    1. A1. Bias
      2. Systematic measurement error
    2. B1. Random measurement error
      2. Systematic measurement error
    3. C1. Systematic measurement error
      2. Bias
    4. D1. Systematic measurement error
      2. Random measurement error
  4. 4Some important metrics of the data collected can be governed by descriptive statistics on the variable Own_assessment.

    Is it true that in this sample at least 75% of the drivers assess themselves as above average drivers?
    1. ANo, since 75% of the data in the sample equal an 8.00 or lower.
    2. BNo, since the mean equals 7.27, which is not even close to a 5.5.
    3. CNo, since 26.7% of the sample equals a 6.00 or lower, which makes that less than 75% of the drivers rate themselves above average.
    4. DYes, since the first quartile equals 6.00 it means that 25% of the drivers have rated their skills a 6.00 or lower.
  5. 5What does a mean lower than the median indicate?
    1. AA difference between the mean and median indicates considerable uncertainty in the data and thus high values for the standard deviation or variance.
    2. BA mismatch between the mean and the median, in which the mean is lower than the median, shows that we deal with unreliable data.
    3. CA significant discrepancy between the median and the mean, in which the mean is lower than the median, indicates negative skewness in the data.
    4. DA significant discrepancy between the median and the mean, in which the mean is lower than the median, indicates positive skewness in the data.
  6. 6What is the range of the variable Own_assessment?
    1. AThe range equals 4.
    2. BThe range equals 9.
    3. CThe range equals 2.
    4. DThe range equals 6.
  7. 7Why is the standard deviation preferred over the variance as the metric for dispersion to report in analyses?
    1. ABecause taking the square root of the variance to compute the standard deviation limits the impact of outliers.
    2. BBecause the standard deviation is easier to compute than the variance.
    3. CBecause the standard deviation is easier to interpret than the variance as it has the same measurement unit.
    4. DBecause the standard deviation is easier to interpret than the variance as it has lower values, since it is the square root of the variance.
  8. 8Next, the third party assesses the skills of the drivers by doing an objective test. In this test drivers are confronted with a theory exam and a practical exam in which their skills off and on the road are being tested. Both tests result in a grade between 1 and 10. The weighted average of these two tests compose a final grade for their driving skills. A 5.5 still corresponds to the average.

    What can be concluded if you compare Theory_examination and Practical_examination in a scatter plot?
    1. AThere is a positive relationship between the grades of the Theory_examination and Practical_examination.
    2. BIf your grade for the theoretical examination increases then you will do better in practice.
    3. CIf your grade for practical examination increases then you will do better in theory.
    4. DThe scatterplot is not conclusive so far, as obviously data points are missing. Counting the dots gives only 17 values, so 13 values are missing.
  9. 9Compute the new variable Average_grade which computes the average grade of drivers’ theory and practical grades make a histogram. (Note: use Transform -> Compute Variable in SPSS to compute Average_grade)

    What can be said about the distribution of the data based on the histogram?
    1. AThe data display strong negative skewness.
    2. BNothing can be said about the distribution yet as the data contains still some considerable outliers that should be taken out of the sample first.
    3. CThe data is more of a categorical nature so nothing can be said about the distribution of the data.
    4. DThe data seem to follow a symmetric distribution, and can possibly follow a normal distribution.
  10. 10Suppose now that you want to compare the driver’s own assessment versus the objective assessment by the third party, which graph would you use? And how can you identify the validity issues 1. and 2. (from question 3) in your graph?
    1. AYou should use a barplot for this purpose. Conclusions: 1. is indicated by the fact that the tick values along the horizontal and vertical axes are quite different, and 2. cannot be observed in the barplot.
    2. BYou should use a scatterplot for this purpose. Conclusions: 1. is observed as that the points (dots) are not on a straight line, but are a bit scattered off the diagonal, and 2. is indicated by the fact that the tick values along the horizontal and vertical axes are quite different.
    3. CYou should use a barplot for this purpose. Conclusions: 2. is observed as that the end points of the vertical lines in the plot are not on a diagonal line, and 1. cannot be observed in the barplot.
    4. DYou should use a scatterplot for this purpose. Conclusions: 1. is indicated by the fact that the tick values along the horizontal and vertical axes are quite different, and 2. is observed as that the points (dots) are not on a straight line, but are a bit scattered off the diagonal.

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Description
Mathematics Quiz on Week 1 - PC Lab, created by Shanks Namikaze on 23/12/2018.
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