If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?

Melissa runs the 50-yard dash five times, with times of 5.4 seconds, 5.6 seconds, 5.4 seconds, 6.3 seconds, and 5.3 seconds.

If she runs a sixth dash, which of the following would change the mean and mode of her scores, but not the median?
A . 5.3 seconds
B . 5.4 seconds
C . 5.5 seconds
D . 5.6 seconds
E . 6.3 seconds

Answer: A

Explanation:

Melissa’s mean time for the first five dashes is

. Her times, in order from least to greatest, are: 5.3, 5.4, 5.4, 5.6, and 6.3. The middle score, or median, is 5.4. The number that appears most often, the mode, is 5.4. A score of 5.3 means that the mean will decrease and that the mode will no longer be 5.4 alone. The mode will now be 5.3 and 5.4. The median, however, will remain 5.4.