Exam 1

  1. Metainformation

    Tag Value
    fileDescriptive-statistics_vufsw-zscore-1084-en_vufsw-zscore-1084-en
    namevufsw-zscore-1084-en
    sectiondescriptive statistics/score interpretation/z-score
    typeschoice
    solutionTRUE, FALSE, FALSE, FALSE, FALSE
    Typecalculation
    Programcalculator
    LanguageEnglish
    Levelstatistical literacy

    Question

    The next question concerns the Glastonbury Festival in England, where the physical hygiene of visitors was measured on a scale of 0 to 4.
    See Table 1 below.

    Table 1: Descriptive statistics of physical hygiene of visitors Glastonbury Festival.


    Hygiene (Day 1 of Glastonbury Festival)
    Hygiene (Day 2 of Glastonbury Festival)
    Hygiene (Day 3 of Glastonbury Festival)
    N
    810
    810
    810
    Missing
    0
    0
    0
    Mean
    1.77
    0.96
    0.98
    Median
    1.79
    0.79
    0.76
    Std. Deviation
    0.69
    0.72
    0.71
    Percentile 25
    1.31
    0.41
    0.44
    Percentile 50
    1.79
    0.79
    0.76
    Percentile 75
    2.23
    1.35
    1.55

    Suppose one of the visitors has a physical hygiene score of 0.88 on day three. What is his / her standardized score (z-score)?


    1. TRUE: -0.14
    2. FALSE: -0.28
    3. FALSE: -3.38
    4. FALSE: -4.01
    5. FALSE: -1.24

    Solution

    The formula is: z = (observation - mean) / standard deviation

    Thus, z = (0.88 - 0.98) / 0.71 = -0.14

    Language
    English

    Levels of Difficulty
    Medium

    M&T BIS
    Default value

    M&T Descriptive statistics
    Default value

    M&T Distributions
    Default value


    1. True
    2. False
    3. False
    4. False
    5. False