find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152
To find the values of the 30th and 90th percentiles of the data, first we need to sort the data in ascending order:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
The 30th percentile corresponds to the value at the position (30/100) * n, where n is the total number of values in the data set. In this case, n = 10, so the position is (30/100) * 10 = 3, which corresponds to the 3rd value in the sorted data set. Therefore, the 30th percentile is 105.
The 90th percentile corresponds to the value at the position (90/100) * n. Using the same formula, we find that the 90th percentile is at the 9th position in the sorted data set. Therefore, the 90th percentile is 176.
So, the values of the 30th and 90th percentiles of the data are 105 and 176, respectively.