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The median of following numbers, which are given is ascending order is 25. Find the value of X.11 13 15 19 (x+2) (x+4) 30 35 39 46
- a)22
- b)20
- c)15
- d)30
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The median of following numbers, which are given is ascending order is...
GIVEN X:11,13,15,19,x+2,x+4,30,35,39,46
median=25. n=10
median=(m)=(n+1/2)th observation
25=(10+1/2)th observation
25=(11/2)th observation
25=(5.5)th observation
25=(5+0.5(6-5)) observation
25=x+2+0.5(x+4-x-2)
25=x+2+0.5(2)
25=x+2+1
25=x+3
25-3=x
22=x
median=25. n=10
median=(m)=(n+1/2)th observation
25=(10+1/2)th observation
25=(11/2)th observation
25=(5.5)th observation
25=(5+0.5(6-5)) observation
25=x+2+0.5(x+4-x-2)
25=x+2+0.5(2)
25=x+2+1
25=x+3
25-3=x
22=x
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The median of following numbers, which are given is ascending order is...
Given, the numbers are in ascending order and the median is 25.
So, there are 5 numbers on either side of 25.
Therefore, x should be between 19 and 30.
Let's check the options:
a) 22: This satisfies the condition as 22 is between 19 and 30.
b) 20: This also satisfies the condition.
c) 15: This is less than 19, so it does not satisfy the condition.
d) 30: This is greater than 30, so it does not satisfy the condition.
Therefore, the correct answer is option 'A' - 22.
So, there are 5 numbers on either side of 25.
Therefore, x should be between 19 and 30.
Let's check the options:
a) 22: This satisfies the condition as 22 is between 19 and 30.
b) 20: This also satisfies the condition.
c) 15: This is less than 19, so it does not satisfy the condition.
d) 30: This is greater than 30, so it does not satisfy the condition.
Therefore, the correct answer is option 'A' - 22.
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The median of following numbers, which are given is ascending order is 25. Find the value of X.11 13 15 19 (x+2) (x+4) 30 35 39 46a)22b)20c)15d)30Correct answer is option 'A'. Can you explain this answer?
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