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Find the mode of the following data: 5, 8, 5, 9, 8, 5, 2, 5, 8.
5
8
9
2
5
Mentally tally the occurrences of each unique number; the number with the highest count is the mode.
A data set of observations: 5, 8, 5, 9, 8, 5, 2, 5, 8.
Mode=Value┬аwith┬аhighest┬аfrequency
Mentally tally the occurrences of each unique number; the number with the highest count is the mode.
Students often pick the largest number in the set (9) rather than the most frequently occurring number.
Organize the data
List all unique values and count their occurrences in the provided sequence.
5,8,5,9,8,5,2,5,8
Calculate frequencies
Count how many times each number appears: 5 appears 4 times, 8 appears 3 times, 9 appears 1 time, and 2 appears 1 time.
f(5)=4,f(8)=3,f(9)=1,f(2)=1
Determine the mode
Since 5 has the highest frequency (4), it is the mode of the data set.
Mode=5
A is correct because the number 5 appears four times, which is more frequent than any other value in the given data set.
In statistics, always remember that 'Mode' is 'Most' frequent, 'Median' is the 'Middle' value, and 'Mean' is the 'Mathematical' average.
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