Understanding the Mode of Data

The question asks us to find the mode of the marks scored by 10 students. The mode is a concept in statistics that represents the value that appears most frequently in a dataset. In simpler terms, it's the number that shows up the most often.

Identifying the Mode in the Dataset

Here are the marks scored by the 10 students:

10, 19, 18, 18, 13, 14, 16, 18, 16, 12

To find the mode, we need to count how many times each mark appears in the list:

• The mark 10 appears 1 time.
• The mark 19 appears 1 time.
• The mark 18 appears 3 times.
• The mark 13 appears 1 time.
• The mark 14 appears 1 time.
• The mark 16 appears 2 times.
• The mark 12 appears 1 time.

Determining the Most Frequent Mark

By looking at the counts, we can see which mark occurred most often:

• 10: 1
• 12: 1
• 13: 1
• 14: 1
• 16: 2
• 18: 3
• 19: 1

The mark 18 appears 3 times, which is more than any other mark in the dataset. Therefore, 18 is the mode of this data.

Conclusion

The mode of the given data is the value that has the highest frequency. In this set of student marks, the value 18 occurs most frequently.