Statistics: Measures of Dispersion
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Questions and Answers

Flatness or peakness of curve can be measured by?

  • Kurtosis (correct)
  • Skewness
  • Average
  • Range
  • For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then coefficient of range is?

  • 24
  • 0.75 (correct)
  • 48
  • 0.50
  • For 15 observations if the mean and variance of the series is 450 and 20 respectively then sum of all observations is?

  • 300
  • 6750 (correct)
  • 30
  • 3375
  • For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile deviation is?

    <p>10</p> Signup and view all the answers

    For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18 then quartile range is?

    <p>20</p> Signup and view all the answers

    Mean = ?(3 Median – Mode)

    <p>1/3</p> Signup and view all the answers

    Mean – Mode = ?(Mean – Median)

    <p>1/3</p> Signup and view all the answers

    Median = Mode + ?(Mean – Median)

    <p>1/2</p> Signup and view all the answers

    Mode = Mean - ?(Mean – Median)

    <p>2/3</p> Signup and view all the answers

    For 10 observations if mean and variance of the series is 16 and 20 respectively then sum of the squares of all observations is?

    <p>3600</p> Signup and view all the answers

    Study Notes

    Measures of Dispersion

    • Flatness or peakness of a curve can be measured by Kurtosis.

    • For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18, the coefficient of range is 0.50.

    • For 15 observations, if the mean and variance of the series are 450 and 20, respectively, then the sum of all observations is 6750.

    • For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18, the quartile deviation is 10.

    • For the series with observations 10, 12, 15, 8, 24, 28, 16, 42, 56, 32 and 18, the quartile range is 20.

    • Mean = (3 * Median - Mode)/2

    • Mean - Mode = 3(Mean - Median)

    • Median = Mode + 3/2(Mean - Median)

    • Mode = Mean - 3/2(Mean - Median)

    • For 10 observations, if the mean and variance of the series are 16 and 20, respectively, then the sum of the square of all observations is 4160.

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    Description

    Test your knowledge on measures of dispersion, including kurtosis, coefficient of range, quartile deviation, and more. This quiz will challenge you with problems involving mean, median, and mode calculations. Perfect for students looking to solidify their understanding of statistical measures.

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