The most likely value of the median height in the distribution is 48 meters based on the choices in the options given.
The total number of observations in the distribution, n = 26
- Class interval _ Frequency _ cumm/Frequency
- 15- 30 _________ 2 _________ 2
- 30 - 45 ________ 3 _________ 5
- 45 - 60________ 12 _________17
- 60 - 75 ________ 4 _________21
- 75 - 90 ________ 1 _________22
- 90 - 105 ________2 ________ 24
- 105 - 120 _______ 0 ________ 24
- 120 - 135 _______0 _________24
- 135 - 150 _______2 _________26
The median value of the distribution can be calculated thus :
- This means the median will lie inbetween 13 and 14th terms in the distribution.
- From the Cummulative frequency column, the 13th and 14th terms falls in the 45 - 60 class interval
- Therefore, the median value should be within the Interval 45 - 60
Therefore, only 48 falls within that interval from the options given, hence, it is the most probable value of the median.
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