Multiple choice

For a grouped data, the mean and the mode are 26 and 49, respectively. The median of the data is

  1. 18.6

  2. 25

  3. 33.6

  4. 41.33
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The empirical relationship is Mode = 3*Median - 2*Mean. 49 = 3*Median - 2*26. 49 = 3*Median - 52. 3*Median = 101. Median = 33.66.

AI explanation

Use the empirical relationship between mean, median, and mode for grouped data, which states that median equals 3 multiplied by the mean minus the mode. Substituting the given values into the formula gives 3 times 26 minus 49. This simplifies to 78 minus 49, which results in a median of 33.6.

Keep practicing — related questions