Intro to Probability & Stats

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Author:
ju1iet
ID:
3939
Filename:
Intro to Probability & Stats
Updated:
2010-01-10 01:31:37
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Week 3 interactive activity for Chapter 3
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Description:
Questions created by the professor to go over main concepts of Chapter three in Week three.
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  1. True or False?

    To find the mean, we need to sort the data set in increasing or decreasing order.
    False

    The sum does not depend on the order of the addends. (Commutative property.)
  2. True or False?

    To find the median, we need to sort the data set in increasing or decreasing order.



    Answer:
    True







    Question 3
    True or False?
    To find the mode(s), we need to sort the data set in increasing or decreasing order.



    Answer:
    False
    Sorting the data before finding the mode(s) may be convenient, but it is not required.








    Question 4
    In a basketball team, the player mean height is 195 cm, and the
    standard deviation is 8 cm. One of the players' height is 210 cm tall.
    Is his height unusually big for this team?


    Answer:
    Find the z-score:
    Because z < 2, this is not an unusually big height.








    Question 5
    A distribution is called left - skewed if its peak is shifted to the left.


    Answer:
    False
    Such distribution is called right - skewed.








    Question 6
    True or False?
    Every data set has one mean, one median, and one mode.



    Answer:
    False
    A data set may have more than one mode or no mode.








    Question 7
    True or False?
    For a data set, the mean may be zero while the standard deviation is nonzero.



    Answer:
    True
    Example: -2, -1, 1, 2.








    Question 8
    True or False?
    For a data set, the mean may be nonzero while the standard deviation is zero.



    Answer:
    This is true for any set whose members are equal to each other but not equal to zero.
    Example: 3 3 3 3 3.







    Question 9
    True or False?
    The median is more sensitive to extremes than the mean.



    Answer:
    False
    The median depends only on the number(s) located in the middle of the data set.








    Question 10
    How do we compare two values that belong to two different data sets with different means and standard deviations?


    Answer:
    We need to compare the z-scores for both values.
    True
  3. True or False?

    To find the mode(s), we need to sort the data set in increasing or decreasing order.
    False

    Sorting the data before finding the mode(s) may be convenient, but it is not required.
  4. Ina basketball team, the player mean height is 195 cm, and the standard
    deviation is 8 cm. One of the players' height is 210 cm tall. Is his
    height unusually big for this team?









    Question 5
    A distribution is called left - skewed if its peak is shifted to the left.


    Answer:
    False
    Such distribution is called right - skewed.








    Question 6
    True or False?
    Every data set has one mean, one median, and one mode.



    Answer:
    False
    A data set may have more than one mode or no mode.








    Question 7
    True or False?
    For a data set, the mean may be zero while the standard deviation is nonzero.



    Answer:
    True
    Example: -2, -1, 1, 2.








    Question 8
    True or False?
    For a data set, the mean may be nonzero while the standard deviation is zero.



    Answer:
    This is true for any set whose members are equal to each other but not equal to zero.
    Example: 3 3 3 3 3.







    Question 9
    True or False?
    The median is more sensitive to extremes than the mean.



    Answer:
    False
    The median depends only on the number(s) located in the middle of the data set.








    Question 10
    How do we compare two values that belong to two different data sets with different means and standard deviations?


    Answer:
    We need to compare the z-scores for both values.









































    Question 8
    True or False?
    For a data set, the mean may be nonzero while the standard deviation is zero.



    Answer:
    This is true for any set whose members are equal to each other but not equal to zero.
    Example: 3 3 3 3 3.







    Question 9
    True or False?
    The median is more sensitive to extremes than the mean.



    Answer:
    False
    The median depends only on the number(s) located in the middle of the data set.








    Question 10
    How do we compare two values that belong to two different data sets with different means and standard deviations?


    Answer:
    We need to compare the z-scores for both values.
    • Find the z-score:
    • Because z < 2, this is not an unusually big height.
  5. A distribution is called left - skewed if its peak is shifted to the left.
    False

    Such distribution is called right - skewed.
  6. Every data set has one mean, one median, and one mode.
    A data set may have more than one mode or no mode.
  7. True or False?

    For a data set, the mean may be zero while the standard deviation is nonzero.
    True

    Example: -2, -1, 1, 2.
  8. True or False?

    For a data set, the mean may be nonzero while the standard deviation is zero.
    • This is true for any set whose members are equal to each other but not equal to zero.
    • Example: 3 3 3 3 3.
  9. True or False?

    The median is more sensitive to extremes than the mean.
    False

    The median depends only on the number(s) located in the middle of the data set.
  10. How do we compare two values that belong to two different data sets with different means and standard deviations?
    We need to compare the z-scores for both values.

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