What is the process for calculating percentiles within specific time intervals?

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Gather the data: First, you need to collect the data that you want to calculate percentiles for. Make sure that you have data for each time interval that you are interested in.

Sort the data: Put the data in order from smallest to largest.

Determine the total number of data points: Count the number of data points in the dataset.

Determine the interval size: Calculate the interval size by dividing the total number of data points by the number of intervals you want. For example, if you have 100 data points and want to divide them into 5 intervals, the interval size would be 20.

Identify the starting point for each interval: Determine the starting point for each interval. For example, if you have 100 data points and want to divide them into 5 intervals, the starting points would be 1, 21, 41, 61, and 81.

Calculate the percentile for each interval: Use the starting point and the interval size to calculate the percentile for each interval. For example, if you are calculating the 50th percentile for the first interval, you would take the data point at position 10 (half of the interval size) starting from the first data point.

Repeat for each percentile and interval: Repeat step 6 for each percentile and interval that you are interested in.

Analyze the results: Once you have calculated the percentiles for each interval, you can analyze the results to understand the distribution of the data over time.