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The ages of 8 students are 12, 14, 12, 16, 15, 12, 14, 13. What is the mode of this data?
12
14
13
15
12
Arrange the given numbers in ascending order mentally or quickly count the occurrences of each unique value without writing them all out longhand.
Ages of 8 students given as data set: 12, 14, 12, 16, 15, 12, 14, 13
Mode=element┬аwith┬аthe┬аhighest┬аfrequency
Arrange the given numbers in ascending order mentally or quickly count the occurrences of each unique value without writing them all out longhand.
Confusing mode with median or mean, or miscounting the frequency of numbers that appear multiple times.
List the Data and Frequencies
Count the frequency of each unique age in the given set of 8 students: 12, 14, 12, 16, 15, 12, 14, 13.
12┬аappears┬а3┬аtimes
Count All Frequencies
Frequency of 12 is 3, frequency of 14 is 2, and frequencies of 13, 15, and 16 are each 1.
f(12)=3,f(14)=2,f(13)=1,f(15)=1,f(16)=1
Determine the Mode
The mode is the observation that occurs most frequently. Since 12 has the highest frequency of 3, it is the mode.
Mode=12
A is correct because the number 12 appears most frequently (3 times) in the given dataset.
Always verify whether the dataset is ungrouped or grouped into class intervals, as grouped data requires the modal class formula for accurate calculation.
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