Given:
The weight in gram of 15 packets of sweets are: 55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8.
To find:
The value of the median and quartiles.
Solution:
We have,
55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8
Divide the data set in two equal parts.
(55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8)
Divide each parenthesis in two equal parts.
(55.0, 55.3, 55.3), 55.3, (55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2), 56.4, (56.7, 56.7, 56.8)
Now,
First quartile = 55.3
Second quartile = Median = 55.9
Third quartile = 56.4
Therefore, the median is 55.9 and the three quartiles are 55.3, 55.9, 56.4 respectively.
