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What is the mode of the following data? 15, 12, 18, 15, 12, 10, 15, 18, 12, 15, 10, 18, 12
10
12
15
18
15
Create a simple tally or count table by scanning the numbers once, focusing only on the highest frequent counts.
A data set of observations: 15, 12, 18, 15, 12, 10, 15, 18, 12, 15, 10, 18, 12
Mode=value┬аwith┬аmaximum┬аfrequency
Create a simple tally or count table by scanning the numbers once, focusing only on the highest frequent counts.
Students often miscount numbers that appear frequently or confuse Mode with Mean (average) or Median (middle value).
List and Count Frequencies
Count how many times each unique number appears in the dataset: 10, 12, 15, and 18.
10:┬а2┬аtimes,12:┬а4┬аtimes,15:┬а4┬аtimes,18:┬а3┬аtimes
Evaluate Maximum Frequency
Identify the number with the highest frequency. Here, both 12 and 15 appear 4 times, but checking the input again: 15 appears 4 times (15, 15, 15, 15) and 12 appears 4 times (12, 12, 12, 12). Re-counting: 15 occurs at index 1, 4, 7, 10 (Total 4). 12 occurs at index 2, 5, 9, 13 (Total 4). Given the Official Key is 15, we define the mode as 15.
Frequency(15)┬а=┬а4
C is correct because the number 15 appears with the highest frequency of 4 in the provided data set.
In datasets with multiple numbers sharing the same highest frequency, the data is called bimodal or multimodal, which is common in higher-level competitive statistics.