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Mean, Median, Mode, and Midrange of Grouped DataPowerPoint Presentation

Mean, Median, Mode, and Midrange of Grouped Data

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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

- You must add one more column than you did using ungrouped data.
- You now need a midpoint column.
- The symbol for the midpoint is .

- Mean

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

- 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.

- Add the lowest number in the first row to the highest number in the last row.
- Divide that answer by 2.

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

- n/2 = 20/2 = 10

- The mode is 21-26.
- Midrange =

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

- The mode is 69-72.

- The midrange =
(63 + 78)/2 = 70.5

Range, Variance and St. Deviation – Grouped

Section 2.5

- Variance Formula

- Standard Deviation

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

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

- 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.

- Find the variance.

- Find the standard deviation.

- Range = 32 – 2 = 30

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

- Greatest Frequency is 9.
- Mode = 15-20

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