Textbooks. I will happily critique your reasons why.
FOr your thinking, add one more example: number cows in a pasture, mean 3, standard deviation 3
FOr your thinking, add one more example: number cows in a pasture, mean 3, standard deviation 3
For the textbooks data set, the standard deviation is given as 5. This means the individual values in the data set deviate from the mean, on average, by approximately 5 units.
Similarly, for the professors' age data set, the standard deviation is given as 8. This means the individual values in this data set deviate from the mean, on average, by approximately 8 units.
Comparing the values, we can see that the standard deviation of the professors' age data set (8) is greater than the standard deviation of the textbooks data set (5).
Therefore, the professors' age data set is more variable as it has a larger spread of values from the mean compared to the textbooks data set.