Which of the following statements about the mean are true? Check all that apply. It can be used for data that are measured on a
nominal scale. There can be more than one. It is algebraically defined (that is, there is an equation you can use to calculate its value). It is easily influenced by extreme scores.Which of the following statements about the mean are true? Check all that apply. It can be used for data that are measured on a nominal scale. There can be more than one. It is algebraically defined (that is, there is an equation you can use to calculate its value). It is easily influenced by extreme scores.
It is algebraically defined (that is, there is an equation you can use to calculate its value).
The mean is the average of our numbers, it is easy to calculate. The formule we use to calcule the mean is:
mean =
Where N is the number of values we have in our sample.
(We divide the sum of our values by the number of data we have in our sample).
It is easily influenced by extreme scores.
If we have extreme scores in our sample our mean could be affected by them. To avoid this we can adjust our sample. We can do this by eliminate the values that are in the extreme of our ordened data (we can just avoid the 10% of the largest data and the 10% of the smallest data in our sample) the mean of the rest of the data we have is the adjusted mean.