Welcome Guest
Log In | Register )
You last visited December 6, 2016, 2:46 pm
All times shown are
Eastern Time (GMT-5:00)

Lifetime Quartile 3

Topic closed. 2 replies. Last post 10 years ago by LAVERNE MALONEY.

Page 1 of 1
PrintE-mailLink
Shawn67's avatar - Lottery-061.jpg

United States
Member #45970
September 1, 2006
4763 Posts
Offline
Posted: May 6, 2007, 3:09 pm - IP Logged

Sorry if this is a stupid question, but I have seen he term "Lifetime Quartile 3" stated at least 10 different times, and I have no idea what this concept means. If anyone here has any knowledge of this and how it relates to Pick-3, could you do a "dummies" explanation of it. Any help would be appreciated. Thanks.


    United States
    Member #17555
    June 22, 2005
    5582 Posts
    Offline
    Posted: May 6, 2007, 3:34 pm - IP Logged

    In descriptive statistics, a quartile is any of the three values which divide the sorted data set into four equal parts, so that each part represents 1/4th of the sample or population.

    Thus:

    • first quartile (designated Q1) = lower quartile = cuts off lowest 25% of data = 25th percentile
    • second quartile (designated Q2) = median = cuts data set in half = 50th percentile
    • third quartile (designated Q3) = upper quartile = cuts off highest 25% of data, or lowest 75% = 75th percentile

    The difference between the upper and lower quartiles is called the interquartile range.

    There is no universal agreement on choosing the quartile values. One possible rule (employed by the TI-83 calculator boxplot and 1-Var Stats functions) is as follows:

    1. Use the median to divide the ordered data set into two halves. Do not include the median into the halves.
    2. The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

    The examples below assume this rule.

    Example 1
    Data Set: 6, 47, 49, 15, 42, 41, 7, 39, 43, 40, 36
    Ordered Data Set: 6, 7, 15, 36, 39, 40, 41, 42, 43, 47, 49

    \begin{cases} Q_1  = 15 \\ Q_2  = 40 \\ Q_3 = 43 \end{cases}

    Example 2
    Ordered Data Set: 7, 15, 36, 39, 40, 41

    \begin{cases} Q_1 = 15 \\ Q_2 = 37.5 \\ Q_3 = 40 \end{cases}

    Example 3
    Ordered Data Set: 1 2 3 4

    \begin{cases} Q_1  = 1.5 \\ Q_2  = 2.5 \\ Q_3 = 3.5 \end{cases}

      LAVERNE MALONEY's avatar - smallgirl

      United States
      Member #1987
      August 5, 2003
      8968 Posts
      Online
      Posted: May 6, 2007, 5:28 pm - IP Logged

      Sorry if this is a stupid question, but I have seen he term "Lifetime Quartile 3" stated at least 10 different times, and I have no idea what this concept means. If anyone here has any knowledge of this and how it relates to Pick-3, could you do a "dummies" explanation of it. Any help would be appreciated. Thanks.

      Here is a link to a post mentioning the topic. Perhaps the posters in this thread may be able to help you Shawn67.

      http://www.lotterypost.com/thread/133838