Question

A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x?

Answer 1

Answer:

The value of x would be 16.

Step-by-step explanation:

In a data,

Median : middle value of the data when the data is written is ascending order.

While,

$\text{Average}=\frac{\text{Sum of all observations}}{\text{Number of the observations}}$

Here, the given data is,

4, 5, 6, 8, 10, and x

So, median =  =  = 7.

Number of the observations = 6,

Sum of the observations = 4+ 5+6+8+10+x = 33 + x

Thus,

Average = $\frac{33+x}{6}$

According to the question,

$\frac{33+x}{7}=7$

$33+x=49$

$x=49-33$

$x=16$

Therefore, the value of x would be 16.