Question

Weight of 15 students is given 31,35,32,27,32,29,43,37,29,38,33,26,25,36,41. Find the
median
​

Answer 1

Step-by-step explanation:

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:

Answer. the numbers replaced= 44kg to 46kg, 27 kg to 25 kg. cancel out the numbers from the ends and the number left over is 35. therefore, 35 is the answer.