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What is the mode of the following data? 50, 43, 40, 51, 44, 46, 40, 43, 41, 45, 46, 40, 45, 47, 45, 49, 47, 40
40
43
46
45
40
Create a simple tally count for each unique number as you read through the list once. Focus only on numbers appearing 3 or more times to quickly identify the winner.
The data set is: 50, 43, 40, 51, 44, 46, 40, 43, 41, 45, 46, 40, 45, 47, 45, 49, 47, 40.
Mode=value┬аwith┬аthe┬аmaximum┬аfrequency
Create a simple tally count for each unique number as you read through the list once. Focus only on numbers appearing 3 or more times to quickly identify the winner.
Students often miscount numbers like 40 or 45 by skipping one occurrence or miscounting the total number of items, leading to selecting a secondary mode instead of the primary one.
Organize the data frequencies
Count the occurrence of each unique number present in the set.
40:4,43:2,45:3,46:2,47:2,50:1,51:1,44:1,41:1,49:1
Identify maximum frequency
Compare the counts to find which number appears most frequently.
Max┬аfrequency=4,┬аcorresponding┬аto┬аvalue┬а40
Conclusion
Since 40 appears 4 times, which is the highest frequency among all values, it is the mode.
Mode=40
A is correct because 40 appears 4 times in the dataset, which is a higher frequency than any other value.
Understanding frequency counts is essential for calculating the Arithmetic Mean and Median, as these concepts often appear together in Data Interpretation (DI) sections of competitive exams.
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