2023-02-13T07:36:26+03:00[Europe/Moscow] en true <p><strong>Range</strong></p>, <p>Range does not consider _____, nor does it consider the placement of any _____.</p>, <p>The range of a data set is heavily affected by any _____.</p>, <p>In cases where it is not possible to calculate the standard deviation for a normal distribution because the entire data set is not provided, it is possible to approximate the standard deviation as _____.</p>, <p><strong>Interquartile range </strong>equation</p>, <p><strong>IQR criteria for an outlier</strong></p>, <p><strong>Standard deviation </strong>formula</p>, <p><strong>SD criteria for an outlier</strong></p>, <p>Approximately _____ of data points fall within 1 standard deviation of the mean.</p>, <p>Approximately _____ of data points fall within 2 standard deviations of the mean.</p>, <p>Approximately _____ of data points fall within 3 standard deviations of the mean.</p>, <p>Between the mean and +1σ, approximately _____ of the data in a normal distribution can be found</p>, <p>Between +1σ and +2σ, approximately _____ of the data in a normal distribution can be found</p>, <p>Between +2σ and +3σ, approximately _____ of the data in a normal distribution can be found</p>, <p>Outliers typically result from one of three causes:</p>, <p>If there is a measurement error, the associated data point should be _____.</p>, <p>If an outlier is the result of a true measurement, but is not representative of the population, it may be _____ or _____ depending on the purpose of the study and preselected protocols.</p>, <p>The decision to include or exclude outliers should be made _____..</p> flashcards
MCAT Physics and Math 12.3: Measures of Distribution

MCAT Physics and Math 12.3: Measures of Distribution

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  • Range

    The range of a data set is the difference between its largest and smallest values

  • Range does not consider _____, nor does it consider the placement of any _____.

    the number of items of the data set

    measures of central tendency

  • The range of a data set is heavily affected by any _____.

    outliers

  • In cases where it is not possible to calculate the standard deviation for a normal distribution because the entire data set is not provided, it is possible to approximate the standard deviation as _____.

    one-fourth of the range

  • Interquartile range equation

    IQR = Q3 – Q1

  • IQR criteria for an outlier

    Any value that falls more than 1.5 interquartile ranges below the first quartile or above the third quartile is considered an outlier.

  • Standard deviation formula

    σ is the standard deviationxi to xn are the values of all of the data points in the setx̄ is the meann is the number of data points in the set

    σ is the standard deviation

    xi to xn are the values of all of the data points in the set

    x̄ is the mean

    n is the number of data points in the set

  • SD criteria for an outlier

    If a data point falls more than three standard deviations from the mean, it is considered an outlier.

  • Approximately _____ of data points fall within 1 standard deviation of the mean.

    68.2%

  • Approximately _____ of data points fall within 2 standard deviations of the mean.

    95.5%

  • Approximately _____ of data points fall within 3 standard deviations of the mean.

    99.7%

  • Between the mean and +1σ, approximately _____ of the data in a normal distribution can be found

    36.1%

    (same for the other side)

  • Between +1σ and +2σ, approximately _____ of the data in a normal distribution can be found

    13.6%

    (same for the other side)

  • Between +2σ and +3σ, approximately _____ of the data in a normal distribution can be found

    2.1%

    (same for the other side)

  • Outliers typically result from one of three causes:

    A true statistical anomaly (e.g., a person who is over seven feet tall).

    A measurement error (for example, reading the centimeter side of a tape measure instead of inches).

    A distribution that is not approximated by the normal distribution (e.g., a skewed distribution with a long tail).

  • If there is a measurement error, the associated data point should be _____.

    excluded from analysis

  • If an outlier is the result of a true measurement, but is not representative of the population, it may be _____ or _____ depending on the purpose of the study and preselected protocols.

    weighted to reflect its rarity (included normally)

    excluded from the analysis

  • The decision to include or exclude outliers should be made _____..

    before a study begins—not once an outlier has been found