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44, 45, 51, 50, 53, 54, 46, 40, 51, 46, 40, 42, 55, 42, 44, 55, 49, 44
44
51
40
55
44
Count the occurrences of each unique number: 44 appears 4 times, 46 appears 2 times, 51 appears 2 times, 42 appears 2 times, 55 appears 2 times. The value with the maximum frequency is the mode.
Data set: 44, 45, 51, 50, 53, 54, 46, 44, 51, 46, 40, 42, 55, 42, 44, 55, 49, 44
Mode=Value with the highest frequency
Count the occurrences of each unique number: 44 appears 4 times, 46 appears 2 times, 51 appears 2 times, 42 appears 2 times, 55 appears 2 times. The value with the maximum frequency is the mode.
Students often miscount the number of repetitions due to the long list format; always sort the data or use a frequency table to avoid errors.
Organize the data
List the frequency of each unique observation present in the data set.
44:4,45:1,51:2,50:1,53:1,54:1,46:2,40:1,42:2,55:2,49:1
Identify the highest frequency
Compare the counts of all values. The number 44 appears 4 times, which is the highest count among all numbers.
Max Frequency=4 for value 44
Determine the mode
By definition, the mode is the observation that occurs most frequently. Since 44 occurs more than any other value, it is the mode.
Mode=44
A is correct because the number 44 appears 4 times in the data set, which is the highest frequency among all values.
This concept is fundamental to Statistics in Data Interpretation (DI) sections of competitive exams; mode is also often linked with histogram peaks in graphical data representation.