Question

Following is the age wise distribution of the members of a family.
Asc (in years
0 10 | 10 - 20 20 30 30 40 40 50
No. of Inmily members 5 2x 12 L 3x
18
Suppose there are total 60 members in the family, then find x. Find the median age of family
member
the roots of the quadratic equation​

Answer 1

Answer:

x = 5, median=41.42.........

Answer 2

Median age of the family members is 32.

Step-by-step explanation:

The given data :

Age  :          0-10        10-20            20-30          30-40          40-50      

members :    5              2x                 12                 3x                 18

Total number of family members = 60

Therefore,      5 + 2x + 12 + 3x + 18 = 60

35 + 2x + 3x = 60

2x + 3x = 60 - 35

5x = 25

x = 25/5

x = 5

So, 2x = 10 and 3x = 15

Now find the median age of family member.

Class :            0-10       10-20            20-30      30-40            40-50

Frequency :     5            10                  12             15                  18

cf                :      5           15                   27             42                  60

n = 60

To find median class :

= value of $(\frac{n}{2} )th$ observation

= value of $(\frac{60}{2} )th$ observation

= value of 30th observation

30th observation lies in 30-40

Therefore, the median class is 30-40.

Median  $M=L+\frac{\frac{n}{2}-cf }{f}\times c$

L = lower boundary point of median class = 30  

n = Total frequency = 60

cf = Cumulative frequency of the class preceding the median class  =  27

f = Frequency of the median class = 15

c = class length of median class = 10

 $=30+\frac{30-27}{15}\times 10$

$=30+\frac{3}{15}\times 10$

= 30 + 2

= 32

Median age of the family members is 32.

Learn more about median of grouped data : https://brainly.in/question/15572413