avada wrote:From OG practice
A list of measurements in increasing order is 4 5 6 8 10 and x. if the median of these measurements is 6/7 of the mean what is the value of x?
16
15
14
13
12
OG: 16
Mean = sum/number.
Thus, the mean = (4+5+6+8+10+x)/6 = (33+x)/6.
The median = the average of the 2 middle numbers = (6+8)/2 = 7.
Since the median is equal to 6/7 of the mean, we get:
7 = (6/7) * (33+x)/6
7 = (33+x)/7
49 = 33+x
x = 16.
The correct answer is
A.
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