Question

For set A = {4, 10, x, 12, y, 20}, all the elements are positive integers greater than or equal to 4. Also, x
< y and x, y < 10 and the median of set A is 8. The value of x is 4.
A. Always
B. Sometimes
C. Never

Answer 1

Given :   set A = {4, 10, x, 12, y, 20}, all the elements are positive integers greater than or equal to 4. Also, x  < y and x, y < 10 and the median of set A is 8.

To find : The value of x is 4.  A. Always  , B. Sometimes  , C. Never

Solution:

4 , 10 , x  , 12  , y , 20

all the elements are positive integers greater than or equal to 4

=> x , y ≥ 4

x  < y and x, y < 10  

=> 4  ≤   x  <  y  <  10

arranging in ascending order

4 , x  ,  y  ,  10  , 12  , 20  

Median = ( y + 10)/2  =  8

=> y + 10 = 16

=> y = 6  

x < y

=> x  can be 4 or  5

Hence value of x = 4    - Sometimes  as it can be 5 as well

option B is correct

Learn more:

Calculate the median for the following data: Age (in years) 19-25 26 ...

https://brainly.in/question/13388354

median of first 8 composite number?​ - Brainly.in

https://brainly.in/question/13201450