Pick two variables that could be collected that would produce a set of data that would...

Pick two variables that could be collected that would produce a set of data that would have the mean much higher than the median or much lower than the median. please explain the variables

Expert Solution

Solution:

The median of a set of numbers is the value that is in the middle (In a set with an odd number of values, it's the middle value. In a set with an even number of values, it's the mean of the two middle values).

The mean is the generally understood "average", where the sum of the values is divided by the number of values (sometimes referred to as the count of the values).

We take the following values of the variable X:

The variable X is right-skewed.

The median is = 1.

The mean is = 10000

So, here mean is much larger than the median.

Now we take the following values of the variable Y:

The variable Y is left-skewed.

The median is = -1.

The mean is = -10000

So, here mean is much smaller than the median.

orchestra answered 2 years ago

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