Final answer:
To determine which line produces products whose weights are closest to their mean, compare the mean weight for each line and the weights of the products on each line. The line with the smallest difference between the weights and their mean produces products closest to their mean.
Step-by-step explanation:
To determine which line produces products whose weights are closest to their mean, we need to calculate the mean weight for each production line and then compare the weights of the products on each line to their respective means. Whichever line has the smallest difference between the weights and their mean will produce products closest to their mean. Let's calculate the mean for each line and compare:
- Line M: Mean = 65g
- Line N: Mean = 70g
- Line O: Mean = 68g
- Line P: Mean = 72g
Therefore, the line that produces products closest to their mean is Line O, as its mean weight (68g) is closest to the weights of the products on that line.