Multiple choice

For a certain frequency distribution, the values of Median and Mode are $95.75$ and $95.5$ respectively. Find the Mean.

  1. $95.175$
  2. $95.475$
  3. $95.875$
  4. $96.975$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The empirical relationship between mean, median, and mode is: Mode = 3 * Median - 2 * Mean. Plugging in the values: 95.5 = 3 * 95.75 - 2 * Mean. 95.5 = 287.25 - 2 * Mean. 2 * Mean = 287.25 - 95.5 = 191.75. Mean = 191.75 / 2 = 95.875.