To find the median of the given data set, you must follow these steps:
1. Arrange the data in numerical order, from smallest to largest.
2. If the number of data points is odd, the median is the middle number.
3. If the number of data points is even, the median is the average of the two middle numbers.
Let's solve the problem using the given data set:
Data set: 42, 20, 12, 15, 18, 15, 29, 33
Step 1: Arrange the data in order.
Sorted data: 12, 15, 15, 18, 20, 29, 33, 42
Step 2: Count the number of data points.
There are 8 numbers in the data set, which is even.
Step 3: Since the number of data points is even, find the two middle numbers. In a data set of 8 numbers, the middle numbers are the 4th and 5th numbers (8/2 = 4, and then the number to the immediate right of the 4th).
The two middle numbers are 18 and 20.
Step 4: Calculate the average of these two numbers to find the median.
Median = (18 + 20) / 2 = 38 / 2 = 19
The median of the data set is 19, which corresponds to option C. So, the correct answer is:
C. 19
