Find the maximum and the mean of the following data: 3, 5, 7, 8 Maximum = Mean = Gerry starts to give an example of a list of 4 numbers where the maximum is the same as the mean - Junior Cycle Mathematics - Question 1 - 2015

The mean of a set of numbers is calculated by summing the numbers and then dividing by the count of numbers. For the data:

ext{Mean} = \frac{3 + 5 + 7 + 8}{4} = \frac{23}{4} = 5.75

Thus:

Mean = 5.75

To ensure the maximum is the same as the mean in Gerry's list of 4 numbers, all numbers must be equal since the maximum is the same as the mean. Therefore, Gerry's list should be:

Gerry’s list = 6, 6, 6, 6

The mean of Gerry's list will then be:

ext{Mean} = \frac{6 + 6 + 6 + 6}{4} = \frac{24}{4} = 6

Thus:

Mean = 6