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Find the mode of the data: 5, 8, 5, 2, 8, 5, 9, 1, 5.
8
5
2
9
5
Arrange the numbers in ascending order mentally or by tally marks; the number that appears most frequently is your answer.
The given dataset is: 5, 8, 5, 2, 8, 5, 9, 1, 5.
Mode=Observation with maximum frequency
Arrange the numbers in ascending order mentally or by tally marks; the number that appears most frequently is your answer.
Students often miscount the frequency of numbers appearing more than twice, such as confusing the value itself with its frequency (e.g., counting 4 occurrences but picking the number 4 instead of 5).
Organize the dataset
List all unique values and count how many times each appears in the set: 5, 8, 5, 2, 8, 5, 9, 1, 5.
1:(1time),2:(1time),5:(4times),8:(2times),9:(1time)
Identify frequencies
Compare the counts of each unique number to determine which occurs most frequently.
Frequency(5)=4
Determine the Mode
Since the number 5 appears 4 times, which is more than any other number in the set, it is the mode.
Mode=5
B is correct because the number 5 appears 4 times, which is the highest frequency in the given data set.
For grouped data, the mode is calculated using the formula L+(2f1−f0−f2f1−f0)×h, which is a common follow-up topic in RRB JE statistics sections.
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