Question

If the mean of 4, 6, 3, 2x+4, 3x-6, 5, 6 and 7 is 10, find the value of x. Hence, find the median.

Answer 1

Given :  mean of 4, 6, 3, 2x+4, 3x-6, 5, 6 and 7 is 10  

To Find :   the value of x.  

the median.

Solution:

mean of 4, 6, 3, 2x+4, 3x-6, 5, 6 and 7 is 10  

Data points = 8

Sum of data points = 4 + 6 + 3 + 2x+4 + 3x-6 + 5 + 6 + 7

= 29 + 5x

Mean = (29 + 5x)/8

(29 + 5x)/8  = 10

=> 29 + 5x  = 80

=> 5x = 51

=> x = 10.2

value of x = 10.2

2x+4 = 24.4

3x - 6 = 24.6

4, 6, 3,  24.4 , 24.6 , 5, 6 and 7

arranging in order

3  4  5  6  6  7  24.4 , 24.6

8 terms median = (4th + 5th term)/2

Median = (6 + 6)/2  = 6

Median = 6

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Answer 2

Answer:

10.2

Step-by-step explanation:

Total number of observations = 8

Observations are: 4, 6, 3, 2x+4, 3x-6, 5, 6, 7

Mean of observations = 10

$\frac{4+6+3+2x+4+3x-6+5+6+7}{8}$ = 10

29 + 5x= 80

5x = 51

x = 10.2