Question

the weight (in kg) of 15 students is 31,35,27,29,32,43,37,41,34,28,44,45,42,50 find the median if the weight 44kg is replaced by 46kg,27kg by 25 find the median​

Answer 1

given that

the weights (in kg) of 15 students are

31,35,27,29,32,43,37,41,34,41,34,28,36,44,45,42,30

No' of observations (n) =15

arrange the data is ascending order

27,28,29,30,31,32,34,35,36,37,41,42,43,44,45

Here observe that No' of students are odd i.e n=15

Median =

2

n+1

th term =

n

15+1

th term

=8 th term

∴median=35

if weight 44kg is replaced by 46kg and

27kg by 25kg

then new Data is

25,28,29,30,31,32,34,35,36,37,41,42,43,46,45

Arrange data the ascending order

25,28,29,30,31,32,34,35,36,37,41,42,43,45,46

Here observe that no's of students are odd i.e n=15

So

new median is

2

n+1

th term

=

2

15+1

th term

=8th term

=35

∴ new median =35kg

Answer 2

Answer:

36

Step-by-step explanation:

Arrange in ascending order,

25, 28, 29, 31, 32, 34,  35, 37, 41, 42, 43, 45, 46, 50

[14 numbers]

Median = (14/2 th observation + 14+1/2 th observation) / 2

             = ( 7th obseravtion + 8th observation) / 2

             = ( 35 + 37) / 2

             = 72 / 2

             = 36

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