The following are the marks of the 9 students in a class: 19,26,29,28,31,35,36,37,48. Find the median of these marks.
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Given,
Total no. of students = 9
Marks of the 9 students in a class
= 19, 26, 29, 28, 31, 35, 36, 37, 48
In the above data, it can be seen that the marks obtained by the students are not in proper order.
So, The proper order of marks are as follows:--
19, 26, 28, 29, 31, 35, 36, 37, 48......(1)
Here,
No. of students , n = 9 is odd
So , The median will be in the form:-
![\frac{n + 1}{2} \: th \: observation \frac{n + 1}{2} \: th \: observation](https://tex.z-dn.net/?f=+%5Cfrac%7Bn+%2B+1%7D%7B2%7D+%5C%3A+th+%5C%3A+observation)
=![\frac{10}{2} th \: observation \frac{10}{2} th \: observation](https://tex.z-dn.net/?f=+%5Cfrac%7B10%7D%7B2%7D+th+%5C%3A+observation)
= 5th observation
= 31 [From (1)]
So, The median of these marks is 31.
Hope it helps !!!
Total no. of students = 9
Marks of the 9 students in a class
= 19, 26, 29, 28, 31, 35, 36, 37, 48
In the above data, it can be seen that the marks obtained by the students are not in proper order.
So, The proper order of marks are as follows:--
19, 26, 28, 29, 31, 35, 36, 37, 48......(1)
Here,
No. of students , n = 9 is odd
So , The median will be in the form:-
=
= 5th observation
= 31 [From (1)]
So, The median of these marks is 31.
Hope it helps !!!
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