Calculate the mean, median, and mode for the following data set: 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40.

The given data points are: 20, 20, 30, 30, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40.
There are $n = 33$ data points.

The mean is the sum of all data points divided by the number of data points.

Rounding to two decimal places:

The median is the middle value of an ordered data set. Since the data is already ordered and $n=33$ (an odd number), the median is the value at the $\frac{n+1}{2}$-th position.

The 17th value in the ordered data set is 40.

The mode is the value that appears most frequently in the data set.

• The value 20 appears 2 times.
• The value 30 appears 2 times.
• The value 40 appears 29 times. The value 40 appears most frequently.