Final answer:
To calculate the measures of central tendency for the group of automobiles, you would find the mean speed (urn), the mean of the squares of the speeds (urms), and the root mean square speed (urms). The mean speed is 50.0 mph, the mean square speed is 9.5 mph, and the root mean square speed is also 9.5 mph. Option (A) is correct.
Step-by-step explanation:
To calculate the mean speed (urn), the mean of a set of values is taken. In this case, the mean speed is the average of the speeds of the ten automobiles. Adding up the speeds and dividing by the number of automobiles gives us the mean speed of 50.0 mph.
The mean square speed (urms) is calculated by taking the square root of the average of the squares of the speeds. The formula for urms is sqrt((sum of (speed^2))/number of automobiles). The urms for this group of automobiles is 9.5 mph.
The root mean square speed (urms) is different from the mean speed because the squares of the speeds are taken into account. This provides a better measure of the average speed of the group, as it accounts for both high and low speeds. The urms for this group of automobiles is 9.5 mph.