Calculate the number of patients in the hospital using step deviation method.

30

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40

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50

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60

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Solution

The correct option is B $40$
Answer:- By shortcut Method
Class interval width (i) = 10

Rooms
X No. of Patients
F $u = \frac{X - A}{i}$ Fu
20 7 -30 -21
30 14 -20 -28
40 21 -10 -21
50=A 28 0 0
$Σ f = 70$ $Σ f u = - 70$
By step deviation method
Mean = $A + \frac{Σ f u}{Σ f} \times i = 50 + \frac{- 70}{70} \times 10 = 50 - 10 = 40$
B) 40

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Similar questions

Marks	0−10	10−20	20−30	30−40	40−50	50−60	60−70	70−80
Number of Students	5	10	20	40	30	20	10	4

No. of patients	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
No. of days attending hospital	$2$	$6$	$9$	$7$	$4$	$2$

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of Students	$10$	$9$	$25$	$30$	$16$	$10$

Age	20−30	30−40	40−50	50−60	60−70	70−80	80−90
Frequency	3	61	132	153	140	51	2

Age in years	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
No. of patients	$2$	$5$	$12$	$19$	$9$	$3$

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