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A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. the mode of the data is
  • a)
    4
  • b)
    13
  • c)
    17
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7,...
Mode refers the most frequently appeared value (which is 17 in this case).
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Most Upvoted Answer
A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7,...
Understanding Mode in Data Sets
The mode of a data set is defined as the value that appears most frequently. To determine the mode, we need to count the occurrences of each number in the given sample.

Data Sample
The provided data sample is as follows:
- 17
- 18
- 17
- 17
- 13
- 18
- 5
- 5
- 6
- 7
- 8
- 9
- 20
- 17
- 3

Counting Frequencies
Let's tally the occurrences of each number:
- **3**: 1 time
- **5**: 2 times
- **6**: 1 time
- **7**: 1 time
- **8**: 1 time
- **9**: 1 time
- **13**: 1 time
- **17**: 4 times
- **18**: 2 times
- **20**: 1 time

Identifying the Mode
From the frequency count, we can see that:
- **17** appears 4 times, which is more than any other number.
- The next highest frequencies are for **5** and **18**, which appear 2 times each.

Conclusion
Since **17** has the highest frequency, it is the mode of this data set. Therefore, the correct answer is:
- **Option C: 17**
This indicates that in this particular data sample, 17 is the most common value.
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