Question

For which data set, the mean is not a good representative measures of central tendency.

• A. There are 7 classes with the below frequencies.
  
  {10, 12, 15, 17, 14, 15, 17}
• B. There are 6 classes with the below frequencies.
  
  {2, 20, 25, 17, 19, 22}
• C. There are 7 classes with the below frequencies.
  
  {5, 7, 5, 6, 4, 5, 7}
• D. There are 6 classes with the below frequencies.
  
  {17, 20, 25, 17, 19, 22}

Answer 1

The correct option is B There are 6 classes with the below frequencies.


{2, 20, 25, 17, 19, 22}
We know that extreme values in the data affect the mean. Here only for the data set {2, 20, 25, 17, 19, 22}, we find the extreme value as one class has the frequency as 2 and the others have frequency 20, 25, 17, 19 and 22.