Worked Examples · Example 7
Q.
Calculate the mean deviation from the median for the following distribution.
| Class interval | 20–30 | 30–40 | 40–60 | 60–80 | 80–90 |
|---|---|---|---|---|---|
| Frequency (f) | 5 | 10 | 20 | 9 | 6 |
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Step 1 — Median. Here , so the median is the size of the value. Cumulative frequencies are 5, 15, 35, 44, 50, so the 25th value lies in class 40–60. With , , and : .
Step 2 — Absolute deviations of mid-points from the median (50), weighted by frequency.
| C.I. | f | m.p. | |d| = |m − 50| | f|d| |
|---|---|---|---|---|
| 20–30 | 5 | 25 | 25 | 125 |
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