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What is the mode of the following data? 43, 44, 43, 53, 42, 44, 46, 47, 55, 50, 52, 55, 40, 45, 44, 53, 48, 48
55
43
53
44
44
Create a simple tally or count distinct numbers while scanning. Since 44 appears three times and no other number exceeds this frequency, 44 is immediately identified.
Data points: 43, 44, 43, 53, 42, 44, 46, 47, 55, 50, 52, 55, 40, 45, 44, 53, 48, 48
Mode=Value┬аwith┬аthe┬аmaximum┬аfrequency
Create a simple tally or count distinct numbers while scanning. Since 44 appears three times and no other number exceeds this frequency, 44 is immediately identified.
Students often fail to count all occurrences of a number or miscount when data is unsorted, leading to choosing a value that appears twice instead of three times.
Step 1: Organize the data
List the frequency of each unique number present in the set: 40: 1, 42: 1, 43: 2, 44: 3, 45: 1, 46: 1, 47: 1, 48: 2, 50: 1, 52: 1, 53: 2, 55: 2.
f(44)=3
Step 2: Identify maximum frequency
Comparing the frequencies calculated, the number 44 has the highest count of 3 occurrences.
Mode=44
Step 3: Verification
Since all other numbers have frequencies less than or equal to 2, 44 is confirmed as the mode.
Mode=44
D is correct because 44 is the most frequently occurring value in the given dataset appearing 3 times.
Understanding mode is critical for grouped frequency distribution questions where you must identify the 'modal class' using the formula L+2f1тАЛтИТf0тАЛтИТf2тАЛf1тАЛтИТf0тАЛтАЛ├Чh.
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