Mathematics
The data regarding the number of patients attending a hospital in a month are as given below.
| No. of patients | No. of days |
|---|---|
| 10-20 | 5 |
| 20-30 | 2 |
| 30-40 | 7 |
| 40-50 | 9 |
| 50-60 | 2 |
| 60-70 | 5 |
Find the mean number of patients (using short method and by taking assumed mean as 45). Give your answer, correct to two significant figures.
Statistics
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Answer
| No. of patients (Class) | Class mark (x) | No. of days (f) | d = x - A | fd |
|---|---|---|---|---|
| 10-20 | 15 | 5 | -30 | -150 |
| 20-30 | 25 | 2 | -20 | -40 |
| 30-40 | 35 | 7 | -10 | -70 |
| 40-50 | A = 45 | 9 | 0 | 0 |
| 50-60 | 55 | 2 | 10 | 20 |
| 60-70 | 65 | 5 | 20 | 100 |
| Total | Σf = 30 | Σfd = -140 |
Mean = A +
= 45 +
= 45 + (-4.67)
= 40.33 ≈ 40
Hence, mean = 40.
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