Question

If the yield of paddy from 10 different fields are 7.1, 7.2, 7.0, 5.2, 6.5, 7.1, 7.8, 6.6, 7.1, 6.7 then the modal value is

• A. 5.2
• B. 7.8
• C. 7.1
• D. 6.5

Hint:

To avoid errors in finding the mode, sort the dataset first to easily spot adjacent repeating values.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The mode of a set of data is the value that appears most frequently in the sample.
Key Formula or Approach:
We count the frequency of each unique value in the dataset and identify the value with the highest count.

Step 2: Detailed Explanation:
Let us compile a frequency table of the given yield values:
- 5.2: appears 1 time
- 6.5: appears 1 time
- 6.6: appears 1 time
- 6.7: appears 1 time
- 7.0: appears 1 time
- 7.1: appears 3 times (at positions 1, 6, and 9)
- 7.2: appears 1 time
- 7.8: appears 1 time
Since the value 7.1 has the highest frequency of 3, the modal value is 7.1.

Step 3: Final Answer
The correct option is (C).