Worked Examples · Example 5
Q.
Using the same wages data as Worked Example 4, find the mean wage using the step-deviation method, and verify it agrees with the assumed mean method's answer.
| Wages (₹) | 100–120 | 120–140 | 140–160 | 160–180 | 180–200 |
|---|---|---|---|---|---|
| Number of workers () | 8 | 12 | 15 | 10 | 5 |
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Start your 14-day free trial to unlock the full solution →All five classes have the same width, , so the step-deviation method applies: , where , using the same assumed mean as Worked Example 4.
Step 1 — Compute the step-deviations and .
| Class | |||||
|---|---|---|---|---|---|
| 100–120 | 8 | 110 | –40 | −2 | −16 |
| 120–140 | 12 | 130 | –20 | −1 | −12 |
| 140–160 | 15 | 150 | 0 | 0 | 0 |
| 160–180 | 10 | 170 | 20 | 1 | 10 |
| 180–200 | 5 | 190 | 40 | 2 | 10 |
| Total | 50 | −8 |
.
Step 2 — Apply the formula. …
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