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What is the mode of the following data? 40, 53, 47, 55, 42, 46, 50, 42, 54, 49, 40, 54, 43, 40, 44, 55, 49, 53
53
55
40
49
40
Use a tally mark method or write the numbers in ascending order in groups of five to identify the frequency of each repeated element quickly.
A set of 18 observations: 40, 53, 47, 55, 42, 46, 50, 42, 54, 49, 40, 54, 43, 40, 44, 55, 49, 53
Mode=Value┬аwith┬аmaximum┬аfrequency
Use a tally mark method or write the numbers in ascending order in groups of five to identify the frequency of each repeated element quickly.
Students often miscount the number of occurrences for the value '40' or '42' by skipping a digit while scanning the unordered list.
Organizing Data
List the frequency of each repeating value in the data set.
40:3,42:2,49:2,53:2,54:2,55:2
Identifying Frequencies
Counting the occurrence of each number: 40 appears 3 times, 42 appears 2 times, 49 appears 2 times, 53 appears 2 times, 54 appears 2 times, 55 appears 2 times, and others appear once.
Frequency(40)=3
Determining Mode
Since 40 has the highest frequency (3) compared to all other numbers, it is the mode of the dataset.
Mode=40
C is correct because the number 40 appears 3 times, which is the highest frequency among all the given values.
This concept is foundational for calculating grouped data mode using the formula Mode=L+2f1тАЛтИТf0тАЛтИТf2тАЛf1тАЛтИТf0тАЛтАЛ├Чh.
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