What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62

29th percentile.          

Step-by-step explanation:

Let us arrange our given data from least to greatest order.

2, 4, 4, 4, 4, 4, 5, 6, 6, 6, 8, 8, 9, 12, 13, 13, 13, 13, 13, 15, 25, 35, 40, 62.

To find the percentile value of x we use formula:

We can see from our data set that there are 7 numbers less than 6 and total number of data points is 24.    

Upon substituting our given values in above formula we will get,

Therefore, the percentile of data value 6 is 29th percentile.

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