Consider a dataset that represents the ages of a group of 15 people: 22, 25, 29, 30, 35, 35, 40, 42, 42, 47, 50, 55, 60, 62, and 70.
Using this dataset, calculate the mode and the mean of the ages. Recall that the mode is the value that appears most frequently in a dataset, while the mean is calculated by summing all values and dividing by the total number of values. Determine the relationship between the mode and mean of this dataset.