if 2x, 5, 3x, 12, 5x, 17, 6 median is 20 find the value of x = ______
Answers
Step-by-step explanation:
GIVEN :
The data set is 2x, 5, 3x, 12, 5x, 17, 6 and its median is 20
TO FIND :
The value of x in the given data set
SOLUTION :
Given that the data is 2x, 5, 3x, 12, 5x, 17, 6 and its median is 20
Number of data = 7 and Median=20
\frac{2x+5+3x+12+5x+17+6}{7}=20
7
2x+5+3x+12+5x+17+6
=20
10x+40=20\times 710x+40=20×7
10x+40=140
10x=140-40
10x=100
x=\frac{100}{10}x=
10
100
∴ x=10.
Therefore the value of x in the given data set is 10.
Hence the value x is x=10.
Answer:
Step-by-step
The data set is 2x, 5, 3x, 12, 5x, 17, 6 and its median is 20
TO FIND :
The value of x in the given data set
SOLUTION :
Given that the data is 2x, 5, 3x, 12, 5x, 17, 6 and its median is 20
Number of data = 7 and Median=20
\frac{2x+5+3x+12+5x+17+6}{7}=20
7
2x+5+3x+12+5x+17+6
=20
10x+40=20\times 710x+40=20×7
10x+40=140
10x=140-40
10x=100
x=\frac{100}{10}x=
10
100
∴ x=10.explanation: