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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 - Mathematics

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प्रश्न

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
योग

उत्तर

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

`n/2 = 250/2` = 125 ⇒ median class is 2 – 3, `l` = 2, `h` = 1, `cf` = 120, `f` = 62

Median = `l + (n/2 - cf)/f xx i`

= `2 + 5/62`

= `129/62 = 2 5/62` m or 2.8 m

50% of students jumped below `2 5/62` m and 50% above it.

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