what is the median of this data set? 14,18,31,34,44,50 a. 31.5 b. 31 c. 32.5 d. 33
what is the median of this data set? 14,18,31,34,44,50 a. 31.5 b. 31 c. 32.5 d. 33
Answer
Explanation:
Step1: Check number of data points
The data - set 14, 18, 31, 34, 44, 50 has (n = 6) data points. Since (n) is even.
Step2: Find the two middle values
The middle values are the (\frac{n}{2})th and ((\frac{n}{2}+ 1))th ordered data points. (\frac{n}{2}=\frac{6}{2}=3) and (\frac{n}{2}+1 = 3 + 1=4). The 3rd value is 31 and the 4th value is 34.
Step3: Calculate the median
The median for an even - numbered data set is the average of the two middle values. Median(=\frac{31 + 34}{2}=\frac{65}{2}=32.5)
Answer:
C. 32.5