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The ages of 12 employees are: 25, 28, 25, 32, 28, 25, 30, 28, 25, 32, 28, 28. What is the mode of this data?
25
28
30
32
28
Quickly tally the occurrences of each unique number by scanning sequentially rather than fully sorting the array.
Ages of 12 employees: 25, 28, 25, 32, 28, 25, 30, 28, 25, 32, 28, 28
Mode=Observation┬аwith┬аmaximum┬аfrequency
Quickly tally the occurrences of each unique number by scanning sequentially rather than fully sorting the array.
Confusing mode with median or mean, or miscounting frequencies due to unordered data.
Identify Unique Values
List all distinct ages present in the given dataset.
Unique┬аValues={25,28,30,32}
Calculate Frequencies
Count how many times each unique age appears in the dataset of 12 employees.
f25тАЛ=4,f28тАЛ=5,f30тАЛ=1,f32тАЛ=2
Determine the Mode
The mode is the value with the highest frequency. Here, 28 has the maximum frequency of 5.
Mode=28
B is correct because 28 is the value that appears most frequently (5 times) in the dataset.
Frequency counts form the foundation for constructing frequency tables, histograms, and calculating grouped data statistics in quantitative aptitude.
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