Answer:
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
[tex]Mean=\frac{\sum x}{n}[/tex]
where, x are observations and n is sample size.
Using the formula, the mean of the given data set is
[tex]Mean=\frac{30+32+41+44+44+45+53+55+58+59+62+62+62+65+66+68+75+75+76}{19}[/tex]
[tex]Mean=\frac{1072}{19}[/tex]
[tex]Mean\approx 56.42[/tex]
The mean of the data set is 56.42.
The mean signify that the average age of college professors is about 56 years.