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Alecsey [184]
3 years ago
6

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 arit

hmetic mean, what is the value of x?
Mathematics
1 answer:
igomit [66]3 years ago
3 0

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.

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