Question

The scores of 15 students in an examination were recorded as $10,5,8,16,18.20,8,10,16,20,18,11,16,14$ and $12$. After calculating the mean, median and mode, an error is found. One of the values is wrongly written as $16$ instead of $18$. Which of the following measures of central tendency will change?

• A. Mean and median
• B. Median and mode
• C. Mode only
• D. Mean and mode

Answer 1

The correct option is D Mean and mode

Mean of the scores $=\frac{202}{15}$

Mean of the correct scores $=\frac{200}{15}$

i.e., Mean of the values changes.

Median is same for both cases i.e., 14.

Mode is proportional to mean.

Hence, mean and mode change.