The following measurements show the length of 5 grasshoppers in inches 3.7, 2.5, 2.3, 1.2, and 3.4 what will happen is 2 more grasshoppers with measurements of 2.3 and 3.2 inches are added?
A. the mean will increase
B. The median will increase
C. the mean will decrease
D. the median will decrease
The mean is calculated by finding the sum of all the measurements and dividing by the total number of measurements. Adding two more grasshoppers with measurements of 2.3 and 3.2 inches will increase the sum of the measurements and therefore increase the mean.
On the other hand, the median is the middle value when all the measurements are arranged in ascending order. As the new measurements of 2.3 and 3.2 inches are added, the middle value will remain the same (3.4 inches), unless one of them becomes the new middle value. Since 3.4 inches is still the middle value, the median will not change.
Therefore, the correct answer is:
A. the mean will increase