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What is the mode of the following data? 25, 28, 25, 30, 22, 28, 25, 35, 30, 28, 25, 35
25
28
30
35
25
Create a simple frequency table mentally by counting the occurrences of each unique value as you mark them off. The number appearing most frequently is the mode.
A data set of 12 numbers: 25, 28, 25, 30, 22, 28, 25, 35, 30, 28, 25, 35
M=Value┬аwith┬аthe┬аmaximum┬аfrequency
Create a simple frequency table mentally by counting the occurrences of each unique value as you mark them off. The number appearing most frequently is the mode.
Students often miscount the frequency of numbers like 28 or 25 by skipping an entry or misidentifying the data set size.
List unique values
Identify all unique numbers present in the data set: 22, 25, 28, 30, 35.
XтИИ{22,25,28,30,35}
Count frequencies
Count how many times each value appears: 22 appears 1 time, 25 appears 4 times, 28 appears 3 times, 30 appears 2 times, and 35 appears 2 times.
Freq(25)=4,Freq(28)=3,Freq(30)=2,Freq(35)=2,Freq(22)=1
Determine the Mode
The mode is the value with the highest frequency. Since the count of 25 is 4, which is the maximum, 25 is the mode.
Mode=25
A is correct because 25 occurs 4 times in the data set, which is more frequent than any other value.
Understanding mode is essential for identifying the 'most popular' or 'typical' value in a dataset, which is a key precursor to learning about probability distributions and data skewness.