Joe had 200 data points on his dataset. He then added 20% more data points to the dataset. If he reduced the data points by 1/4 of the total data points, calculate the total number of data points the dataset contains.
Thoughts? Step-by-step reasoning:
When Joe added 20% more data points to the dataset, the data points in the dataset increased by 20 / 100 * 200 = 40 data points. The total number of data points increased to 200 + 40 = 240. If he reduced the data points by 1 / 4 of the total data points, the data points reduced by 1 / 4 * 240 = 60. The total number of data points left in the dataset after Joe reduced the data points by 1 / 4 of the total data points is 240 - 60 = 180.
Thus, the answer is 180.