Question

If no value of an ungrouped data is repeated, then which of the following cannot be determined?

• A. Median
• B. Mean
• C. Mode
• D. None

Answer 1

The Correct Option is C

To solve the problem, we need to determine which statistical measure cannot be found when no value in a set of ungrouped data is repeated.

1. Understanding the Mean:
The mean is the average of the data values and can be calculated by adding all the values and dividing by the number of values. It does not require any repeated values.
✓ Can be determined.

2. Understanding the Median:
The median is the middle value of the data when arranged in ascending order. It does not require repetition of values.
✓ Can be determined.

3. Understanding the Mode:
The mode is the value that appears most frequently in the data. If no value is repeated, there is no mode.
✗ Cannot be determined (or does not exist in this case).

4. Conclusion:
When no value is repeated in a data set, the mode cannot be determined.

Final Answer:
Mode