find the first and third quartiles,Q1and Q3,of the following set of numbers 13,4,12,16,8,14,8,3,10,8,

my answer is 4;12

find the first and third quartiles,Q1and Q3,of the following set of numbers

0.16,0.08,0.27,0.20,0.22,0.32,0.25,0.18,0.28,0.27

my answer is 0.16;0.28

To find the first and third quartiles (Q1 and Q3) of a set of numbers, follow these steps:

1. Arrange the numbers in ascending order.

For the first set of numbers, 13, 4, 12, 16, 8, 14, 8, 3, 10, 8, the numbers in ascending order are:
3, 4, 8, 8, 8, 10, 12, 13, 14, 16.

For the second set of numbers, 0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27, the numbers in ascending order are:
0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32.

2. Find the median of the entire dataset.

For the first set of numbers, the median is the middle value, which is 10.

For the second set of numbers, the median is also the middle value, which is 0.23 (average of 0.22 and 0.25).

3. Find the median of the lower half of the dataset (Q1).

For the first set of numbers, the lower half is 3, 4, 8, 8. The median of this subset is the middle value, which is 6.

For the second set of numbers, the lower half is 0.08, 0.16, 0.18, 0.20. The median of this subset is the middle value, which is 0.17 (average of 0.16 and 0.18).

4. Find the median of the upper half of the dataset (Q3).

For the first set of numbers, the upper half is 12, 13, 14, 16. The median of this subset is the middle value, which is 13.

For the second set of numbers, the upper half is 0.25, 0.27, 0.27, 0.28. The median of this subset is the middle value, which is 0.27.

Therefore, the first and third quartiles (Q1 and Q3) of the first set of numbers are 6 and 13, respectively.
The first and third quartiles (Q1 and Q3) of the second set of numbers are 0.17 and 0.27, respectively.