What is the first quartile of the data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38 A. 12 B. 19 C. 29 D. 10

The first quartile (Q1), also known as the lower quartile, is the median of the lower half of a data set (not including the median if the data set has an odd number of data points). It represents the value below which 25% of the data falls. To find the first quartile of the given data set, you need to follow these steps:

1. Arrange the data in ascending order (the data set is already in ascending order in your question): 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38

2. Determine the position of Q1. If the number of data points (N) is odd, as in this case (N=11), you find the median (which is also the middle value) and then consider the lower half of the data set excluding the median itself.

Since there are 11 data points, the median is the 6th data point (19). Now, consider the lower half of the data: 10, 11, 12, 15, 17

3. Since there are 5 data points in the lower half, the median of this subset is the middle value, which in this case is the 3rd value (since 5 is odd).

The first quartile, Q1, is the third data point of the lower half of the data set, which is 12.

So the correct answer is A. 12.