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What is the mode of the following data? 47, 43, 50, 46, 46, 40, 54, 54, 40, 54, 42, 48, 44, 55, 52, 45, 41, 41
40
46
41
54
54
Create a tally table or scan the numbers by highlighting duplicates mentally; skip values that appear only once to focus on high-frequency candidates.
A dataset of 18 numbers: 47, 43, 50, 46, 46, 40, 54, 54, 40, 54, 42, 48, 44, 55, 52, 45, 41, 41
Mode=value┬аwith┬аmaximum┬аfrequency
Create a tally table or scan the numbers by highlighting duplicates mentally; skip values that appear only once to focus on high-frequency candidates.
Students often miss one instance of a number or confuse Mode (most frequent) with Median (middle value) or Mean (average).
Organize the dataset
List the distinct values and count their occurrences in the given sequence.
Data={40,40,41,41,42,43,44,45,46,46,47,48,50,52,54,54,54,55}
Calculate frequencies
Count how many times each number repeats: 40(2), 41(2), 46(2), 54(3). Other numbers appear only once.
Frequency(54)=3
Determine the mode
Identify the value with the highest frequency. Since 54 appears 3 times, it is the mode.
Mode=54
D is correct because the number 54 appears three times in the dataset, which is more frequent than any other value.
This concept is a subset of Statistics. For large datasets, always sort them in ascending order to easily identify frequencies without double-counting.
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