The median of an ordered dataset with an even number of observations is the: (A) Mean of the two middle values (B) Mode of the dataset (C) Middle value of the dataset (D) Sum of the two middle values
Answer (1)
In an ordered dataset with an even number of observations, the median is the measure of central tendency calculated as the mean of the two middle values.
Let's break down how to find the median in this case:
Order the Dataset : First, you arrange the data in numerical order from smallest to largest.
Identify the Middle Values : Since the dataset has an even number of observations, you won't have a single middle value. Instead, there will be two middle numbers.
Calculate the Median : To find the median, you take these two middle numbers and calculate their mean (average):
Median = 2 Middle Value 1 + Middle Value 2
As a result, in this multiple-choice question, the correct answer is (A) Mean of the two middle values.
This allows you to determine the central point of your dataset, offering a clear representation of the data's distribution, particularly important in statistics for understanding data sets.
