The frequency distribution of weekly pocket money received by a group of students is given below: | ||||||||||
Pocket money in (Rs.) | More than or equal to 20 | More than or equal to 40 | More than or equal to 60 | More than or equal to 80 | More than or equal to 100 | More than or equal to 120 | More than or equal to 140 | More than or equal to 160 | More than or equal to 180 | More than or equal to 200 |
Number of Students | 90 | 76 | 60 | 55 | 51 | 49 | 33 | 12 | 8 | 4 |
Draw a ?more than type? ogive and from it, find median. Verify median by actual calculations. |
Answer:
Pocket money (in Rs.) No. of Students \[c.i.\] \[{{f}_{i}}\] \[c{{f}_{i}}\] More than or equal to 20 90 20 ? 40 14 14 More than or equal to 40 76 40 ? 60 16 30 More than or equal to 60 60 60 ? 80 5 35 More than or equal to 80 55 80 ? 100 4 39 More than or equal to 100 51 100 ? 120 2 41 More than or equal to 120 49 120 ? 140 16 57 More than or equal to 140 33 140 ? 160 21 78 More than or equal to 160 12 160 ? 180 4 82 More than or equal to 180 8 180 ? 200 4 86 More than or equal to 200 4 200 ? 220 4 90 n= 90 90 \[\frac{n}{2}=\frac{90}{2}=45\] \[\therefore \] Median class is \[120-140\] Median \[=l+\frac{\frac{n}{2}-cf}{f}\times h\] \[=120+\frac{45-41}{16}\times 20\] \[=120+\frac{4\times 20}{16}=120+5=Rs.\,\,125\] Hence Verified.
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