find the median weight for following Data weight in kg 45,46,48,50,52,54,55 no of boys 8,5,6,9,7,4,2
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Median is the middlemost observation in a given set of data.
Given: Weight in Kilograms (Kg).
To find: The median.
Answer:
Observations: 45, 46, 48, 50, 52, 54 and 55.
Their frequencies: 45 - 8, 46 - 5, 48 - 6, 50 - 9, 52 - 7, 54 - 4 and 55 - 2.
In ascending order:
45, 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 48, 48, 48, 48, 48, 48, 50, 50, 50, 50, 50, 50, 50, 50, 50, 52, 52, 52, 52, 52, 52, 52, 54, 54, 54, 54, 55, 55.
Total number of observations: 41.
Formula to find the median: (n + 1)/2, where n represents the total number of observations.
NOTE: The above formula is used only when n = an odd number.
Median = (41 + 1)/2
= 42/2
= 21st term
= 50
Therefore, the median of the data is 50 (kg).
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