Question

Median of Data is determined by the following step:

• A. By finding the average of all the values
• B. By identifying the value that occurs most frequently
• C. By arranging the values in ascending order and selecting the middle one
• D. By subtracting the smallest value from the largest value

Hint:

Always remember to sort the dataset first before identifying the middle element. Skipping the sorting step is a common error in calculating the median.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The median is a measure of central tendency that represents the exact midpoint of a dataset, separating the higher half from the lower half of the observations.

Step 2: Key Formula or Approach:
To find the median of a dataset:
1. Arrange the data points in ascending (or descending) order.
2. If the number of observations \( n \) is odd:
\[ \text{Median} = \left(\frac{n+1}{2}\right)^{\text{th}} \text{ observation} \]
3. If the number of observations \( n \) is even:
\[ \text{Median} = \frac{\left(\frac{n}{2}\right)^{\text{th}} \text{ observation} + \left(\frac{n}{2} + 1\right)^{\text{th}} \text{ observation}}{2} \]

Step 3: Detailed Explanation:
- Option (A) describes how to calculate the Mean.
- Option (B) describes how to identify the Mode.
- Option (C) outlines the correct step-by-step procedure to determine the Median (ordering the values and identifying the middle value).
- Option (D) describes how to calculate the Range.

Step 4: Final Answer
The median is determined by arranging the data in ascending order and selecting the middle value.