Number 50,42,35,2x+10,2x-8,12,11,8 are written in descending order and their median is 25. Find x
Answers
Answered by
3
Hlw mate!!
25=mean of (5th+6th value)
25=1/2*(2x-8+2x+10)
25=1/2*4x+2
4x+2=50
4x=48
x=12
Hope it helpful
25=mean of (5th+6th value)
25=1/2*(2x-8+2x+10)
25=1/2*4x+2
4x+2=50
4x=48
x=12
Hope it helpful
Answered by
13
Here is your answer
As it has Total 8 terms
Hence Median is Sum of 4th and fifth term/2
Fourth term = 2x + 10
Fifth term = 2x - 8
Median =
![25 = \frac{2x + 10 + 2x - 8}{2} \\25 = \frac{4x + 2}{2} \\ 4x + 2 = 25 \times 2 \\ 4x = 50 - 2 \\ 4x = 48 \\ x = \frac{48}{4} \\ x = 12 25 = \frac{2x + 10 + 2x - 8}{2} \\25 = \frac{4x + 2}{2} \\ 4x + 2 = 25 \times 2 \\ 4x = 50 - 2 \\ 4x = 48 \\ x = \frac{48}{4} \\ x = 12](https://tex.z-dn.net/?f=25+%3D+%5Cfrac%7B2x+%2B+10+%2B+2x+-+8%7D%7B2%7D+%5C%5C25+%3D+%5Cfrac%7B4x+%2B+2%7D%7B2%7D+%5C%5C+4x+%2B+2+%3D+25+%5Ctimes+2+%5C%5C+4x+%3D+50+-+2+%5C%5C+4x+%3D+48+%5C%5C+x+%3D+%5Cfrac%7B48%7D%7B4%7D+%5C%5C+x+%3D+12+)
Therefore x = 12
Hope it helps you
As it has Total 8 terms
Hence Median is Sum of 4th and fifth term/2
Fourth term = 2x + 10
Fifth term = 2x - 8
Median =
Therefore x = 12
Hope it helps you
rajeev378:
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