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Question

100 students record how far they can run in one minute.

The results are shown in the table : 

Distance(d metres)frequency02005200250202503005030040025

Estimate the median.


  1. 285

  2. 275.5

  3. 245.75

  4. 322.5


Solution

The correct option is B

275.5


The cumulative frequency table can be given as :

Distance(d metres)Cumulative frequency020052002502525030075300400100

The median will be given by the average of the 50th and 51st observation

They both lie in the interval 250 - 300

Interval = 50

No. of students in this range = 50

50th Observation = 250 + 25 = 275

51st Observation = 250 + 26 = 276

Median = Average of 50th and 51st observation = 275+2762=275.5

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