Question

The mean and the median of a certain data are 13.3 and 13.5 respectively. Find the mode.

• A. 13.7
• B. 13.8
• C. 13.9
• D. 12.9

Answer 1

The Correct Option is C

To find the mode of the dataset, we can use the relation between mean, median, and mode known as the empirical formula of skewness:

Empirical Formula:
Mode ≈ 3 × Median - 2 × Mean

Given:
Mean = 13.3, Median = 13.5

Calculate Mode:
Mode ≈ 3 × 13.5 - 2 × 13.3 = 40.5 - 26.6 = 13.9

The mode is 13.9.