Real world example - we have a data set with emails sent, and time in seconds from sent date to when a click happened. I want to be able to produce a metric such as:

*Most of the clicks happened in X seconds, plus or minus some number.* 

Is the best way to do that to use an inverse distribution function with a 50 percentile? 

```
ID SECONDS Percentile_Cont 
-- ------- --------------- 
1  110000      2750 
2    3100      2750 
3    2900      2750
4    2800      2750
5    2700      2750
6    2600      2750
7    2500      2750
8       1      2750
9       1      2750

```

For example, using SQL's [percentile\_cont](https://docs.microsoft.com/en-us/sql/t-sql/functions/percentile-cont-transact-sql?view=sql-server-2017) function, we get 2750. Here is a SQL Server Example showing that result for those 9 values:

```
SELECT 
    PERCENTILE_CONT(0.5) WITHIN GROUP (ORDER BY A desc) OVER (PARTITION BY b) D
FROM
(
    SELECT 1 B, 110000 A UNION 
    SELECT 1 B,   3100 A UNION 
    SELECT 1 B,   2900 A UNION 
    SELECT 1 B,   2800 A UNION 
    SELECT 1 B,   2700 A UNION
    SELECT 1 B,   2600 A UNION 
    SELECT 1 B,   2500 A UNION 
    SELECT 1 B,      1 A UNION
    SELECT 1 B,      1 A  
) A

```

This seems to do what I want, but Are there better ways? Does that actually answer the question in the way I intended?