A Student Of Statistics? This Is A Quiz For You, Then!

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A Student Of Statistics? This Is A Quiz For You, Then! - Quiz

A descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a collection of information, while descriptive statistics is the process of using and analysing those statistics.


Questions and Answers
  • 1. 

    Which one is better: mean, median or mode?

    • A.

      Mean

    • B.

      Median

    • C.

      Mode

    • D.

      Depends on your goals

    Correct Answer
    D. Depends on your goals
    Explanation
    Please read the following page for a more thorough explanation: http://www.shodor.org/interactivate/discussions/MeanMedianAndMode/

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  • 2. 

    What is the median of the data set: 4, 3, 1, 2, 6, 3, 4, 5, 2, 6, 4, 3, 3, 3, 6, 4, 6, 4, 2, 6?

    • A.

      4

    • B.

      6

    • C.

      5

    • D.

      3.5

    Correct Answer
    A. 4
    Explanation
    you sort the numbers first: 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 6 eggs. There is an even number of values, so the middle (or median) is between the first and second 4 (the 10th and 11th values). Because they are the same, their average is also 4, so the median is 4.

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  • 3. 

    True or false:  When the word "mean" is used without a modifier, it can be assumed that it refers to the arithmetic mean.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The arithmetic mean is what is commonly called the average: When the word "mean" is used without a modifier, it can be assumed that it refers to the arithmetic mean. The mean is the sum of all the scores divided by the number of scores.

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  • 4. 

    The mean is the sum of all the scores _________ the number of scores.

    • A.

      Except for

    • B.

      Multiplied by

    • C.

      Subtracted from

    • D.

      Divided by

    • E.

      Except from

    Correct Answer
    D. Divided by
    Explanation
    The mean is the sum of all the scores divided by the number of scores. The formula in summation notation is: μ = ΣX/N

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  • 5. 

    What is the standard deviation of the following (complete) population?  2, 4, 4, 4, 5, 5, 7, 9

    • A.

      4

    • B.

      4.5

    • C.

      5

    • D.

      2

    • E.

      There is not enough information to determine standard deviation

    Correct Answer
    D. 2
    Explanation
    See here for an explanation: http://en.wikipedia.org/wiki/Standard_deviation#Basic_example

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  • 6. 

    The difference in the formula for standard deviation between a complete population and an incomplete population is:

    • A.

      Mean plus 1

    • B.

      Mean minus 1

    • C.

      Numerator minus

    • D.

      Denominator minus 1

    Correct Answer
    D. Denominator minus 1
    Explanation
    See this link for more info: http://en.wikipedia.org/wiki/Standard_deviation#Basic_example

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  • 7. 

    To calculate standard deviation in Microsoft Excel, you first have to calculate the "average."

    • A.

      True

    • B.

      False

    • C.

      This is a trick question

    Correct Answer
    A. True
    Explanation
    This is true. See: http://www.gifted.uconn.edu/siegle/research/Normal/stdexcel.htm

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  • 8. 

    In probability theory and statistics, the normal distribution or Gaussian distribution is an absolutely continuous probability distribution with zero cumulants of all orders higher than two. The graph of the associated probability density function is bell-shaped, with a peak at the mean, and is known as the Gaussian function or bell curve.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    This is true. See: http://en.wikipedia.org/wiki/Normal_distribution#Definition

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  • 9. 

    Not all normal distributions are symmetric and have bell-shaped density curves with a single peak.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    This is false. By definition, all *normal* distributions are symmetric and have bell-shaped density curves with a single peak.

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  • 10. 

    For a normal distribution, almost all values lie within ___ standard deviations of the mean.

    • A.

      4

    • B.

      5

    • C.

      2

    • D.

      3

    Correct Answer
    D. 3
    Explanation
    If you got this incorrect, please review the section on normal distribution.

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  • 11. 

    Calculate normal distribution:  If X is a normal random variable with mean (m) 100 and standard deviation (σ) 6 find P(X<106)

    • A.

      P = 0.1

    • B.

      P = 0.8413

    • C.

      P = 94

    • D.

      There is not enough information to solve this problem.

    Correct Answer
    B. P = 0.8413
    Explanation
    Step 1: For a given value X=106
    Z = (106-100)/6
    = 1

    Step 2: Find the value of 1 in Z table
    Z = 1 = 0.3413

    Step 3: Here the X value is greater than mean
    P(X) = 0.5 + 0.3413 = 0.8413

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  • 12. 

    Using a z-table, determine the area under the curve between 0 and 1.27

    • A.

      0.3962

    • B.

      0.4909

    • C.

      0.398

    • D.

      There is not enough information to answer this question

    Correct Answer
    A. 0.3962
    Explanation
    Please see this z-table and explanation of how to use it: http://www.easycalculation.com/statistics/normal-ztable.php

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  • Mar 22, 2023
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    Sperberm08
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