Mean, Median, Mode, and Midrange of Grouped Data

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# Mean, Median, Mode, and Midrange of Grouped Data - PowerPoint PPT Presentation

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

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 .
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.
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.
Median…..
• n/2 = 20/2 = 10
Mode and Midrange……
• The mode is 21-26.
• Midrange =
Now you try……….
• Find the mean, median, and mode of the following set.
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
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.
Range = High - Low
• Range = 32 – 2 = 30
Example……
• Find the mean, median, mode, midrange, range, variance, and st. deviation of the data set.
Mode……
• Greatest Frequency is 9.
• Mode = 15-20
Homework…….
• Find the measures of center and variation for the grouped data on HW3.