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The marks scored by 10 students are given below. 14, 15, 16, 17, 10, 17, 19, 13, 14, 14 The mode of the data is:
17
16
15
14
14
Arrange numbers in ascending order mentally and quickly tally occurrences; the one appearing most often is the mode.
Marks scored by 10 students: 14, 15, 16, 17, 10, 17, 19, 13, 14, 14.
Mode=value with the highest frequency
Arrange numbers in ascending order mentally and quickly tally occurrences; the one appearing most often is the mode.
Many students mistake the 'Mean' (average) for the 'Mode', or choose the largest number (19) or the middle number (median) instead of the most frequent one.
Organize Data
List the marks in ascending order to identify frequencies clearly: 10, 13, 14, 14, 14, 15, 16, 17, 17, 19.
10,13,14,14,14,15,16,17,17,19
Count Frequencies
Count how many times each number appears. We see that 14 occurs 3 times, while others occur less frequently.
f(14)=3
Identify Mode
The mode is defined as the observation that occurs with the highest frequency.
Mode=14
D is correct because the number 14 appears 3 times, which is more frequent than any other value in the set.
Understanding Mode is essential for interpreting histogram data and frequency polygons, which are frequent topics in Statistics-based Data Interpretation questions.