For the data set 57, 55, 85, 24, 33, 49, 94, 2, 8, 51, 71, 30, 91, 6, 47, 50, 65, 43, 41, 7, what is the median?

For the data set 57, 55, 85, 24, 33, 49, 94, 2, 8, 51, 71, 30, 91, 6, 47, 50, 65, 43, 41, 7, what is the median?

• A. 45
• B. 48
• C. 50
• D. 52

Answer: (B)

To find the median of a data set, the first step is to arrange the values in ascending order. For the given data set: 57, 55, 85, 24, 33, 49, 94, 2, 8, 51, 71, 30, 91, 6, 47, 50, 65, 43, 41, 7, the numbers should be sorted: 2, 6, 7, 8, 24, 30, 33, 41, 43, 47, 49, 50, 51, 55, 57, 65, 71, 85, 91, 94. Next, determine the total number of values in the set, which is 20. Since there are an even number of observations, the median will be calculated by taking the average of the two middle numbers. The two middle numbers in this sorted list are the 10th and 11th values. The 10th value is 47 and the 11th value is 49. The average of these two values is calculated as follows: (47 + 49) / 2

To find the median of a data set, the first step is to arrange the values in ascending order. For the given data set: 57, 55, 85, 24, 33, 49, 94, 2, 8, 51, 71, 30, 91, 6, 47, 50, 65, 43, 41, 7, the numbers should be sorted:

2, 6, 7, 8, 24, 30, 33, 41, 43, 47, 49, 50, 51, 55, 57, 65, 71, 85, 91, 94.

Next, determine the total number of values in the set, which is 20. Since there are an even number of observations, the median will be calculated by taking the average of the two middle numbers. The two middle numbers in this sorted list are the 10th and 11th values.

The 10th value is 47 and the 11th value is 49. The average of these two values is calculated as follows:

(47 + 49) / 2