Find the first, second, and third quartiles of the data.

15, 6, 1, 13, 5, 11, 3, 8

My answer:
1st quartile: 3
2nd quartile: 7
3rd quartile: 13

Am I right?

To find the quartiles of a dataset, you need to first arrange the data in ascending order. Then, you can use the following steps:

1. Sort the data in ascending order: 1, 3, 5, 6, 8, 11, 13, 15.

2. Calculate the median, which is the value in the middle of the dataset. In this case, the median is 8.

3. The first quartile (Q1) is the median of the lower half of the data. To find Q1, look at the values to the left of the median: 1, 3, 5, 6. The median of this lower half is 4.5. Since there is no exact value at this position, we usually take the average of the two middle values, which are 3 and 5. So, Q1 is 4.5.

4. The third quartile (Q3) is the median of the upper half of the data. To find Q3, look at the values to the right of the median: 11, 13, 15. The median of this upper half is 13.

5. Finally, the second quartile (Q2) is the same as the median, which is 8.

With these steps, the correct answer would be:
1st quartile (Q1): 4.5
2nd quartile (Q2): 8
3rd quartile (Q3): 13

So, your initial answer was not correct.

1, 3, 5, 6, 8, 11, 13, 15

From this re-arrangement I would say they would be 4, 7 and 12, respectively.