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Find the mode of the following data: 2, 4, 4, 6, 7, 8, 4, 6, 7, 4, 4, 5, 6
2
7
6
4 Question ID : 4410091988119 Option 1 ID : 4410097830248 Option 2 ID : 4410097830247 Option 3 ID : 4410097830245 Option 4 ID : 4410097830246 Status : Answered Chosen Option : D
4 Question ID : 4410091988119 Option 1 ID : 4410097830248 Option 2 ID : 4410097830247 Option 3 ID : 4410097830245 Option 4 ID : 4410097830246 Status : Answered Chosen Option : D
Create a quick tally mark table or mentally arrange the numbers in ascending order to count occurrences immediately.
A data set of 13 numbers: 2, 4, 4, 6, 7, 8, 4, 6, 7, 4, 4, 5, 6.
Mode=Value┬аwith┬аmaximum┬аfrequency
Create a quick tally mark table or mentally arrange the numbers in ascending order to count occurrences immediately.
Students often pick the largest number in the data set (8) or the median value instead of identifying the number with the highest frequency.
Organize the data
List the distinct values and count their occurrences: 2 appears 1 time, 4 appears 5 times, 5 appears 1 time, 6 appears 3 times, 7 appears 2 times, and 8 appears 1 time.
Frequencies:┬а2(1),4(5),5(1),6(3),7(2),8(1)
Identify maximum frequency
Compare the counts to find which number appears most often. The count of 4 is 5, which is greater than the counts of all other numbers.
Max┬аFrequency=5тЯ╣Mode=4
D is correct because the number 4 appears 5 times in the data set, which is more frequent than any other number.
Mode is often the simplest measure of central tendency; however, in continuous data (grouped frequency), remember to use the formula L+(2f1тАЛтИТf0тАЛтИТf2тАЛf1тАЛтИТf0тАЛтАЛ)├Чh.