The weight of 10 students of a class in kg is given below.
40, 43, 43, 32, 50, 45, 37, 35, 42, 38
find the median
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(1) You first order the given data in ascending order:
[32, 35, 37, 38, 40, 42, 43, 43, 45, 50]
(2) And then number them as follows(once in ascending, then in descending):
1 2 3 4 5 6 7 8 9 10
32, 35, 37, 38, 40, 42, 43, 43, 45, 50
10 9 8 7 6 5 4 3 2 1
As you can see, there is no definite middle number(the number in bold where the number above and below it is the same). There are two numbers-the ones under and above 5 and 6: 40 and 42
So, now to get the median you must add both of them and divide the result by 2 to get the middle of these numbers.
⇒40 + 42 =82
⇒82/2 = 41
ANSWER: the median of the students' weights is 41
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