Following is the distribution of the long jump competition in which 250 students participated. Find the median distance jumped by the students.
Following is the distribution of the long jump competition in which 250 students participated. Find the median distance jumped by the students. Interpret the median
| Distance (in m) | 0 - 1 | 1 - 2 | 2 - 3 | 3 - 4 | 4 - 5 |
| Number of Students | 40 | 80 | 62 | 38 | 30 |
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| Distance (in m) | 0 - 1 | 1 – 2 | 2 - 3 | 3 - 4 | 4 - 5 |
| Number of Students | 40 | 80 | 62 | 38 | 30 |
| cf | 40 | 120 | 182 | 220 | 250 |
\(\frac{n}{2}=\frac{250}{2}\) = 125
⇒ median class is 2 - 3, l = 2, h = 1, cf = 120, f = 62
median = \(l+\frac{\frac{n}{2}-cf}{f}\times i\)
= 2 + \(\frac{5}{62}\)
= \(\frac{129}{62}=2\frac{5}{62}\)m or 2.08 m
50% of students jumped below \(2\frac{5}{62}\)m and 50% above it.
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