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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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Presentation Transcript
grouped data
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 .
median
Median
  • There IS a formula to find the median using grouped data.
slide5
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
Midrange…..
  • Add the lowest number in the first row to the highest number in the last row.
  • Divide that answer by 2.
example
Example…..
  • Find the mean, median, and mode of the set of grouped data.
median1
Median…..
  • n/2 = 20/2 = 10
mode and midrange
Mode and Midrange……
  • The mode is 21-26.
  • Midrange =
now you try
Now you try……….
  • Find the mean, median, and mode of the following set.
slide17
Mode……..
  • The mode is 69-72.
midrange1
Midrange……..
  • The midrange =

(63 + 78)/2 = 70.5

grouped data1
Grouped Data……
  • Variance Formula
range
Range…..
  • High number in last row minus low number in first row.
example1
Example……
  • Find the variance, standard deviation, and range of the set.
calculator steps
Calculator Steps……
  • Put lower boundaries in L1 and upper boundaries in L2. Put frequencies in L3. Set a formula for midpoint in L4.
range high low
Range = High - Low
  • Range = 32 – 2 = 30
example2
Example……
  • Find the mean, median, mode, midrange, range, variance, and st. deviation of the data set.
slide35
Mode……
  • Greatest Frequency is 9.
  • Mode = 15-20
homework
Homework…….
  • Find the measures of center and variation for the grouped data on HW3.
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