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Find the mode of the following data: 5, 8, 5, 7, 9, 5, 8, 7, 5, 9
5
7
8
9
5
Count the frequency of each unique number by tallying them directly from the given list without rewriting the entire data set.
The given data set is: 5, 8, 5, 7, 9, 5, 8, 7, 5, 9
Mode=Value with highest frequency
Count the frequency of each unique number by tallying them directly from the given list without rewriting the entire data set.
Confusing mode with median or mean, or miscounting the frequency of the most repeated value.
Identify Unique Values and Frequencies
List all the unique numbers in the data set and count how many times each number appears (its frequency).
5 appears 4 times, 7 appears 2 times, 8 appears 2 times, 9 appears 2 times
Determine the Mode
The mode is defined as the observation that occurs with the highest frequency in the given data set.
Maximum frequency=4 (for the number 5)
Final Verification
Since 5 has the maximum frequency among all entries, the mode of the data is 5.
Mode=5
A is correct because the number 5 appears the most frequently (4 times) in the given data set.
Understanding measures of central tendency like mean, median, and mode is essential for data interpretation questions in competitive exams.