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The Following Table Shows the Number of Patients of Different Age Groups Admitted to a Hospital for Treatment on a Day. Find the Median of Ages of the Patients. - Algebra

The following table shows the number of patients of different age groups admitted to a hospital for treatment on a day. Find the median of ages of the patients.

Age- group (Yrs.) 10-20 20-30 30-40 40-50 50-60 60-70
No. of patients 40 32 35 45 33 15

 

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Solution

Age (Yrs.) No. of patients
(Frequency)
Cumulative frequency (Less than)
10-20 40 40
20-30 32 72
30-40 35 107
40-50 45 152
50-60 33 185
60-70 15 200

Here N = 200     ∴ the number` N/2=`100 which is included in the class 30-40

∴ median class is 30 - 40
∴ L = 30, cf = 72, f = 35, h = 10

Median = L+ `|(n/2-cf)/f| xx h`

             `=30+((100-72)/35) xx 10`

              `=30+(28xx2)/7`

             = 30 + 4 x 2

             = 30 + 8 = 38 

∴ median of ages of patients is 38.

 

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