Answer :
The solutions are : eighteenth percentile, P18 is 13.8, thirty-seventh percentile, P37 is 18.4, sixth decile, D6 is 27.8 and forth decile, D4 is 19.9.
To find the percentiles and deciles for the given data set, follow these steps:
a) Find the eighteenth percentile, P18:
1. Start by sorting the precipitation values in ascending order:
10.1, 11.7, 12.2, 13.8, 14.6, 16.9, 18.4, 18.4, 19.9, 22.3, 25.4, 27.1, 27.8, 30.6, 32.3, 33.6, 35.0, 39.1, 39.1, 42.6, 51.7
2. Calculate the index of the eighteenth percentile, which is the position where 18% of the data falls below:
Index_18 = floor(0.18 * 21)
= floor(3.78) = 3
3. Find the precipitation value corresponding to the index_18:
P18 = 13.8
b) Find the thirty-seventh percentile, P37:
1. The precipitation values are already sorted in ascending order.
2. Calculate the index of the thirty-seventh percentile:
Index_37 = floor(0.37 * 21)
= floor(7.77) = 7
3. Find the precipitation value corresponding to the index_37:
P37 = 18.4
c) Find the sixth decile, D6:
1. The precipitation values are already sorted in ascending order.
2. Calculate the index of the sixth decile, which is the position where 60% of the data falls below:
Index_6 = floor(0.6 * 21)
= floor(12.6) = 12
3. Find the precipitation value corresponding to the index_6:
D6 = 27.8
d) Find the fourth decile, D4:
1. The precipitation values are already sorted in ascending order.
2. Calculate the index of the fourth decile, which is the position where 40% of the data falls below:
Index_4 = floor(0.4 * 21)
= floor(8.4) = 8
3. Find the precipitation value corresponding to the index_4:
D4 = 19.9
To know more about percentile visit :
brainly.com/question/34221111
#SPJ11
