Question

Calculate Median from the following data. x : 3 4 5 6 7 8 9 10
y : 1 5 6 7 10 15 10 5​

Answer 1

Step-by-step explanation:

Arranging given marks in ascending order,

4,7,7,9,9,9,10,12,15

Number of observations (n)=9

⇒ Mean=

9

4+7+7+9+9+9+10+12+15

=

9

82

=9.11

⇒ Here, number 9 occurs maximum number of times i.e 3 times.

∴ Mode=9

Number of observation is odd number

∴ Median=(

2

n+1

)

th

obs=(

2

9+1

)

th

obs=5

th

obs

Here, 5

th

obs=9

∴ Median=9

⇒ So, we can see mean measure is maximum and mode,median measures are minimum.

Answer 2

Given :

x : 3 4 5 6 7 8 9 10

f : 1 5 6 7 10 15 10 5​

To Find :  Median

Solution:

x :           f            cf

3             1             1  

4             5            6

5             6            12

6            7            19  

7             10           29

8             15           44  

9             10            54

10           5             59

Total frequency = 59

Hence median = (59 + 1)/2  = 30th term

30th term is at  8

Hence median is 8

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