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The mode of the data set 14, 15, 14, 16, 17, 14, 15, 18, 15, 14 is:
15
14
16
17
14
Use the 'Tally Mark' method or simply arrange the numbers in ascending order mentally to quickly spot the one that appears most frequently.
A set of data points: 14, 15, 14, 16, 17, 14, 15, 18, 15, 14.
Mode=value┬аwith┬аmaximum┬аfrequency
Use the 'Tally Mark' method or simply arrange the numbers in ascending order mentally to quickly spot the one that appears most frequently.
Students often confuse 'Mode' with 'Mean' (average) or 'Median' (middle value), leading to incorrect calculations based on the wrong statistical definition.
Count the frequency of each number
List each unique number and count how many times it appears in the set: 14 appears 4 times, 15 appears 3 times, 16 appears 1 time, 17 appears 1 time, 18 appears 1 time.
Frequency(14)=4,Frequency(15)=3,Frequency(16,17,18)=1
Identify the mode
The mode is defined as the value that occurs most frequently in a data set. Comparing the frequencies, 14 has the highest frequency (4).
Mode=14
B is correct because the number 14 appears four times, which is more frequent than any other number in the provided data set.
In competitive exams like RRB JE, always check the frequency of the smallest numbers first as they are often the answer in simple data sets; this saves time compared to calculating the full Mean.
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