Consider the following graph. stem-and-leaf plot of ages of college professors with key stem 5 with leaf 3 means 53. the plot includes the following data: stem 3 with leaves 0 and 2; stem 4 with leaves 1, 4, 4, and 5; stem 5 with leaves 3, 5, 8, and 9; stem 6 with leaves 2, 2, 2, 5, 6, and 8; and stem 7 with leaves 5, 5, and 6. calculate the mean. explain what the mean would signify for the entire population of college professors by using this sample.

The mean of the data set is 56.42.

The mean signify that the average age of college professors is about 56 years.

Step-by-step explanation:

The given stem-and-leaf plot represents the ages of college professors.

From the given stem-and-leaf plot we get the data set

30,32, 41, 44, 44, 45, 53, 55, 58, 59, 62, 62, 62, 65, 66, 68, 75, 75, 76

The formula for mean is

where, x are observations and n is sample size.

Using the formula, the mean of the given data set is

The mean of the data set is 56.42.

The mean signify that the average age of college professors is about 56 years.

the average age for the entire population of college professors is 56 years old

step-by-step explanation: