Question

give relevant answers...
try to do on a piece of a paper...​

Answer 1

Step-by-step explanation:

Given :

Data is 5,9,10,12,15,16,19,20,20,20,20,23,24,25,25

To find :

Mode &

Median

According to the question,

Arranging the given data in ascending order :

5,9,10,12,15,16,19,20,20,20,20,23,24,25,25

So,the mode is 20 as it occurs most of the times.

Median :

For even : \sf{ (\dfrac{n}{2} ) {}^{th} \: observation }(

2

n

)

th

observation

For odd : \sf{ (\dfrac{n}{2} + 1 ) {}^{th} \: observation }(

2

n

+1)

th

observation

So,the number of observation is 15 [ which is odd ]

\implies \sf{ (\dfrac{15}{2} + 1 ) {}^{th} \: observation }⟹(

2

15

+1)

th

observation

\implies\sf{ \cancel\dfrac{16}{2} {}^{ \: \: 8} \: observation}⟹

2

16

8

observation

\implies\sf{8 {}^{th} \: observation}⟹8

th

observation

Now here we will find the number which is in 8th observation,

5,9,10,12,15,16,19,20,20,20,20,23,24,25,25

So,the median is 20 as it is in 8th observation.