Mathematics · JEE | STATISTICS

Consider the following statements regarding measures of central tendency: (A) The mean is the most frequently used measure of central tendency because it takes into account all observations. (B) Extreme values in a data set affect the mean significantly, making the median a better representative when extreme outliers are present. (C) The mode is the best choice when establishing the most frequent value or most popular item in a distribution. (D) The empirical relation connecting the three measures is \( 2 \text{ Median} = 3 \text{ Mode} + \text{Mean} \). How many of the above statements are correct?

1. A
   Only one
2. B
   Only two
3. C
   Only three
4. D
   All four