Find the median weight for the following data.

Weight (in kg) 45 46 48 50 52 54 55

Number of students 8 5 6 9 7 4 2

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Solution

The following data is in ascending order:

Weight (in kg) Frequency Cumulative Frequency

45 8 8

46 5 13

48 6 19

50 9 28

52 7 35

54 4 39

55 2 41

Here, n is 41, which is an odd number.
Thus, we have:
$Median = Value of (\frac{n + 1}{2}) th observation$
$Median weight = Weight of (\frac{41 + 1}{2}) th student = Weight of the 21 st student Here, we see that the weight of the 20 th to 28 th students is 50 kg . This means that the weight of the 21 st student is 50 kg . Hence, the median weight is 50 kg .$

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Similar questions

The distribution below gives the weights of 30 students of a class. Find the median weight of the students.

Weight (in kg)	40 − 45	45 − 50	50 − 55	55 − 60	60 − 65	65 − 70	70 − 75
Number of students	2	3	8	6	6	3	2

Weight (in kg)	40-45	45-50	50-55	55-60	60-65	65-70	70-75
Number of students	2	3	8	6	6	3	2

Weight (in kg)	48	50	52	54	58
Number of players	4	3	2	2	1

\begin{matrix} W e i g h t (i n k g) & 40 - 45 & 45 - 50 & 50 - 55 & 55 - 60 & 60 - 65 & 65 - 70 & 70 - 75 N u m b e r o f s t u d e n t s & 2 & 3 & 8 & 6 & 6 & 3 & 2 \end{matrix}

Weight (in kg)	47	50	53	56	60
Number of students	4	3	2	2	4

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