Question

Which two numbers have a mean of 10 and a range of 4

Answer 1

Simply the answer is 12 and 8.

Hope It Would Be Helpful For The Users!!!

Answer 2

Answer:

The two numbers are 8 and 12.

Step-by-step explanation:

Mean median mode and range calculate the averages of data sets using different methods. Mean is the average of all of the numbers. Median is the middle number, when in order. Mode is the most common number. Range is the largest number minus the smallest number.

As there are 2 numbers the mean is exactly in the middle of them.

Thus half the range is less than the mean and half the range is greater than the mean.

Let the two numbers be x and y with y > x

Then:

The range is $y - x = 4$..... (1)

Mean is $\frac{x+y}{2} = 10$

$x + y = 20$....(2)

Adding equation (1) and (2)

$y-x+x+y=4+20\\\Rightarrow 2y=24\\\Rightarrow y=12$

Substitute value of y in equation (2), we get

$x+12=20\\\Rightarrow x=20-12\\\Rightarrow x=8$

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