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The marks scored by 10 students are given below. 18, 13, 14, 18, 14, 17, 15, 11, 13, 18 The mode of the data is:
13
18
14
11
18
Identify the number that appears with the highest frequency. Count each number once and note the maximum occurrence.
Identify the number that appears with the highest frequency. Count each number once and note the maximum occurrence.
List and Count Frequencies
Identify every unique number and count its occurrence in the data: 18 occurs 3 times; 13 occurs 2 times; 14 occurs 2 times; 17 occurs 1 time; 15 occurs 1 time; 11 occurs 1 time.
Apply Mode Definition
The mode of a data set is defined as the value that appears most frequently. Comparing the counts (3, 2, 2, 1, 1, 1), the highest frequency is 3.
Final Conclusion
Since the value 18 has the highest frequency of 3, the mode of the given data set is 18.
A: 13 appears only twice, B: 18 is correct because it appears 3 times, C: 14 appears only twice, D: 11 appears only once.
B is correct because 18 appears 3 times, which is the highest frequency among all given numbers.
When data sets are long, always write them in ascending order or use a tally chart to avoid skipping numbers during the counting process.
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