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Mathematics

The data regarding the number of patients attending a hospital in a month are as given below.

No. of patientsNo. of days
10-205
20-302
30-407
40-509
50-602
60-705

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 - Afd
10-20155-30-150
20-30252-20-40
30-40357-10-70
40-50A = 45900
50-605521020
60-7065520100
TotalΣf = 30Σfd = -140

Mean = A + ΣfdΣf\dfrac{Σfd}{Σf}

= 45 + 14030\dfrac{-140}{30}

= 45 + (-4.67)

= 40.33 ≈ 40

Hence, mean = 40.

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