From the following data find the median age of 100 residents of a colony who took part in swachch bharat abhiyan: | |
Age (in yrs.) More than or equal to | No. of residents |
0 | 50 |
10 | 46 |
20 | 40 |
30 | 20 |
40 | 10 |
50 | 3 |
Answer:
First convert the given table into C.I. Table. C.I. Frequency c.f. 0 ? 10 4 4 10 ? 20 6 10 20 ? 30 20 30 30 ? 40 10 40 40 ? 50 7 47 50 ? 60 3 50 \[\frac{N}{2}=\frac{50}{2}=25\] Median \[=l=\left[ h\frac{\left( \frac{N}{2}-c.f. \right)}{f} \right]\] \[=20+\left[ 10\frac{(25-10)}{20} \right]\] \[=20+\frac{15}{2}\] \[=27.5\]
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