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What is the mode of the following data: 22, 25, 22, 28, 25, 22, 30, 25, 28, 25, 30, 22, 25?
22
25
28
30
25
Use a tally sheet method: mentally group identical numbers to identify which appears most often without re-listing the whole set.
A data set of numbers: 22, 25, 22, 28, 25, 22, 30, 25, 28, 25, 30, 22, 25.
Mode=value┬аwith┬аmaximum┬аfrequency
Use a tally sheet method: mentally group identical numbers to identify which appears most often without re-listing the whole set.
Students often miscount the number of times 22 and 25 appear because the list is unsorted; always count each element systematically.
Tabulate the frequencies
Count how many times each distinct value appears in the provided data set.
22:4┬аtimes,25:5┬аtimes,28:2┬аtimes,30:2┬аtimes
Compare frequencies
Identify the value that has the highest occurrence frequency among the set.
max(4,5,2,2)=5
State the mode
Since 25 appears 5 times, which is more than any other number, it is the mode.
Mode=25
B is correct because the number 25 appears 5 times in the data set, which is the highest frequency compared to 22 (4 times), 28 (2 times), and 30 (2 times).
This frequency analysis is the foundation for calculating the Median in grouped frequency distributions and identifying the Modal Class in statistics.