Question

Which of the following statement is related to Mean in a dataset?

• A. The value that appears most frequently in the dataset
• B. The middle value when the data is arranged in ascending order
• C. The sum of all the values divided by the number of values
• D. The range of the dataset

Hint:

Remember the three major measures of central tendency:
1. Mean = Sum Count
2. Median = Middle value
3. Mode = Most frequent value

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
In statistics, the arithmetic mean (commonly referred to as the average) is a measure of central tendency used to represent the central value of a finite set of numbers.

Step 2: Key Formula or Approach:
The arithmetic mean \( \bar{x} \) of a dataset containing \( n \) observations \( \{x_1, x_2, \dots, x_n\} \) is calculated using the formula:
\[ \bar{x} = \frac{\sum_{i=1}^{n} x_i}{n} \]

Step 3: Detailed Explanation:
- Option (A) describes the Mode (the most frequent value).
- Option (B) describes the Median (the middle value of an ordered dataset).
- Option (C) describes the Arithmetic Mean (sum of all observations divided by the total count of observations).
- Option (D) describes the Range (the difference between the maximum and minimum values in the dataset).

Step 4: Final Answer
The mean is calculated by dividing the sum of all values in a dataset by the total number of values.