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Exercises · Q13
Q.

The ages (in years) of 25 patients admitted to a clinic on a given day are distributed as follows. Find the median age using the cumulative frequency method.

Age (xx)1820222426
Number of patients (ff)36943
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Since N=∑f=25N = \sum f = 25 is odd, the median is the value of the (N+12)=(262)=13\left(\dfrac{N+1}{2}\right) = \left(\dfrac{26}{2}\right) = 13th observation, located from the cumulative frequency column.

Step 1 — Build the cumulative frequency table.

xxffc.f.
1833
2069
22918
24422
26325

Check: ∑f=3+6+9+4+3=25\sum f = 3+6+9+4+3 = 25, matching the given 25 patients. …

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