find the median for the observations 1/3,3/5,2/5,2/3
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Answer:
First of all convert the fraction numbers into whole numbers by calculating the least common multiple of the denominators that is
L.C.M of 3,5,5,3is equivalent to
15,
Multiplying the fractions by the L.C.M of the denominators gives,
1/3x15=5
3/5x15=9
2/5x15=6
2/3x15=10
Also we know that median is the middle number after arranging numbers from the smallest to the largest, that is
5,6,9,10
In fraction 1/3,2/5,3/5,2/3
The median is the average of 2/5 and 3/5
(2/5+3/5)/2=1/2
=1/2
Hence the midian of the numbers is equivalent to 1/2
Step-by-step explanation:
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3/5+2/5 divided by 2=5/5 divided by 2=1/2 or 0.5
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