What is the mode of this data?30, 42, 47, 31, 38, 4630no mode4238
Question
What is the mode of this data?30, 42, 47, 31, 38, 4630no mode4238
Solution 1
To find the mode of a given set of data, we need to identify the number that appears most frequently. Let's go through the data step by step:
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List the data clearly:
30, 42, 47, 31, 38, 46, 30, no mode, 42, 38 -
Remove any non-numeric entries:
30, 42, 47, 31, 38, 46, 30, 42, 38 -
Count the frequency of each number:
- 30 appears 2 times
- 42 appears 2 times
- 47 appears 1 time
- 31 appears 1 time
- 38 appears 2 times
- 46 appears 1 time
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Identify the number(s) with the highest frequency:
- 30, 42, and 38 each appear 2 times.
Since there are multiple numbers that appear with the same highest frequency, this data set is multimodal, meaning it has more than one mode.
Answer: The modes of this data set are 30, 42, and 38.
Solution 2
Sure, let's find the mode of the given data step by step.
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List the data clearly: The given data is: 30, 42, 47, 31, 38, 46, 30, 42, 38
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Sort the data in ascending order: 30, 30, 31, 38, 38, 42, 42, 46, 47
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Count the frequency of each number:
- 30 appears 2 times
- 31 appears 1 time
- 38 appears 2 times
- 42 appears 2 times
- 46 appears 1 time
- 47 appears 1 time
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Identify the number(s) with the highest frequency:
- 30, 38, and 42 each appear 2 times, which is the highest frequency.
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Determine the mode: Since 30, 38, and 42 all have the highest frequency and appear the same number of times, this data set is multimodal with modes 30, 38, and 42.
So, the modes of this data set are 30, 38, and 42.
Similar Questions
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