Sum
In a school, 100 pupils have heights as tabulate below:
Height (in cm ) | No. of pupils |
121-130 | 12 |
131-40 | 16 |
141-150 | 30 |
151-160 | 20 |
161-170 | 14 |
171-180 | 8 |
Find the median height by drawing an ogive.
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Solution
Height (in cm) | No. of pupils | Cumulative Frequency |
121-130 | 12 | 12 |
131-140 | 16 | 28 |
141-150 | 30 | 58 |
151-160 | 20 | 78 |
161-170 | 14 | 92 |
171-180 | 8 | 100 |
Number of terms =100
∴ Median = `100/2=50^(th)` term
Through 50th term mark draw a line parallel to the x-axis which meets the curve at A. from A, draw a perpendicular to x-axis which meets it at B.
Value of B is the median=148
⇒ Median height = 148 cm
Concept: Concept of Median
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