Question

Which data value is farthest from the mean? How far you is this value from the mean? Round to the nearest hundredths. 34,37,48,32,25,34,35,23,33,30.

Answer 1

48; 14.90 or 14.9

Explanation:

First you have to take the mean of the data set.

In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...

`(34+37+48+32+25+34+35+23+33+30)/(10)`

The answer to this is 33.1.

Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.

Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.