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What is the mode of the following data?
44, 45, 51, 50, 53, 54, 46, 44, 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.
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