Mean median mode and midrange of grouped data
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Mean, Median, Mode, and Midrange of Grouped Data PowerPoint PPT Presentation


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Mean, Median, Mode, and Midrange of Grouped Data. Section 2.5. Grouped Data……. You must add one more column than you did using ungrouped data. You now need a midpoint column. The symbol for the midpoint is. Formulas……Mean. Mean. Median.

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Mean, Median, Mode, and Midrange of Grouped Data

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Mean, Median, Mode, and Midrange of Grouped Data

Section 2.5


Grouped Data……

  • You must add one more column than you did using ungrouped data.

  • You now need a midpoint column.

  • The symbol for the midpoint is .


Formulas……Mean

  • Mean


Median

  • There IS a formula to find the median using grouped data.


Mode……

  • Find the greatest frequency and read across the chart until you see the class that corresponds to it.

  • Your answer will be the entire interval.


Midrange…..

  • Add the lowest number in the first row to the highest number in the last row.

  • Divide that answer by 2.


Example…..

  • Find the mean, median, and mode of the set of grouped data.


Here is the list you should have……


Mean……


Median…..

  • n/2 = 20/2 = 10


Plug values into formula….


Mode and Midrange……

  • The mode is 21-26.

  • Midrange =


Now you try……….

  • Find the mean, median, and mode of the following set.


Your finished list…….


Mean……


Median…….


Mode……..

  • The mode is 69-72.


Midrange……..

  • The midrange =

    (63 + 78)/2 = 70.5


Range, Variance and St. Deviation – Grouped

Section 2.5


Grouped Data……

  • Variance Formula


  • Standard Deviation


Range…..

  • High number in last row minus low number in first row.


Example……

  • Find the variance, standard deviation, and range of the set.


Calculator Steps……

  • Put lower boundaries in L1 and upper boundaries in L2. Put frequencies in L3. Set a formula for midpoint in L4.


  • Find f times midpoint by setting a formula in L5.


  • Find f times midpoint squared in L6 by setting a formula.


Your lists should look like this……


  • Find the variance.


  • Find the standard deviation.


Range = High - Low

  • Range = 32 – 2 = 30


Example……

  • Find the mean, median, mode, midrange, range, variance, and st. deviation of the data set.


Here are the lists……


Mean:


Median……


Mode……

  • Greatest Frequency is 9.

  • Mode = 15-20


Midrange……


Range……


Variance……


St. Deviation……


Homework…….

  • Find the measures of center and variation for the grouped data on HW3.


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