I walked 10,000 steps on September 1, over this month the number of steps increased by an average of 500 steps per day does this represent discrete or continuous data

Answer 1

The data regarding the number of steps you walked represents discrete data. Discrete data consists of distinct, separate values, often counted in whole numbers. In your case, the number of steps walked is typically counted in whole numbers (you can't take a fraction of a step), making it discrete. The increase in the average number of steps per day (in increments of 500) further reinforces this classification, as you are still dealing with whole number counts rather than measurements that could take on any value within a range.