Question

consider the following data

430, 389, 414, 401, 466, 421, 399, 387, 450, 407, 392, 410, 440, 417, 471

find the 40th percentile for this data

Answer 1

Solution:

We have to find 40th percentile for given data.

Step1: Total number of values in data are n =15

Step 2: Arrange given data in ascending order:

387,389,392,399,401,407,410,414,417,421,430,440,450,466,471

Step 3: To get the 40th percentile position in a data set with 11 data points, just multiply our percentile by the number of values in our data set:

0.40 * 15 = 6

We will have to go to the 6th number in our ordered data set to get our answer.

6th number in ordered data set is 407

Hence 40th percentile is 407

Done