Question

The most frequently observed value in the data is:

• A. Arithmetic Mean
• B. Median
• C. Mode
• D. Range

Hint:

Measures of Central Tendency: - Mean: Sum of observations / Number of observations. Sensitive to outliers. - Median: Middle value of an ordered dataset. Less sensitive to outliers. - Mode: Most frequent value(s) in a dataset. Can be used for categorical data. A dataset can have no mode, one mode (unimodal), or multiple modes (bimodal, trimodal, etc.). Measure of Dispersion: - Range: Highest value - Lowest value.

Answer 1

The Correct Option is C

Step 1: Define the statistical terms.
- Arithmetic Mean (Average): The sum of all values divided by the number of values.
- Median: The middle value in a dataset that has been arranged in order of magnitude.
If there is an even number of observations, the median is the average of the two middle values.
- Mode: The value that appears most frequently in a dataset.
A dataset can have one mode (unimodal), more than one mode (bimodal, multimodal), or no mode if all values occur with the same frequency.
- Range: The difference between the highest and lowest values in a dataset.
It is a measure of dispersion, not central tendency.

Step 2: Match the definition with "most frequently observed value".
The definition of Mode is the value that occurs most frequently in a data set.
This matches option (3).