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If the mode of the following data is 7,then the value in the data set 3,8,6,7,1,6,10,6,7,2k+5,9,7 and 13 is?
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If the mode of the following data is 7,then the value in the data set ...
Data Set:
3, 8, 6, 7, 1, 6, 10, 6, 7, 2k, 5, 9, 7, 13

Mode: 7

Explanation:
To determine the value of "k" in the data set, we need to analyze the given information and apply the concept of mode.

Definition of Mode:
The mode is the value that appears most frequently in a data set. In this case, the mode of the given data set is 7, meaning that 7 appears more times than any other value.

Finding the Frequency of 7:
To find the value of "k" and the frequency of 7, we need to count the number of times 7 appears in the data set.

Counting the occurrences of 7 in the data set, we have:
3, 8, 6, 7, 1, 6, 10, 6, 7, 2k, 5, 9, 7, 13

We can see that 7 appears 3 times in the data set.

Finding the Value of "k":
Since the mode is 7, it means that the value of "k" should be such that the frequency of 7 in the data set is maximized. In other words, we need to find a value for "k" that makes the number 7 appear the most times in the data set.

We already know that 7 appears 3 times in the given data set. To maximize the frequency of 7, we can consider the remaining data points.

Looking at the data set, we can see that the value 2k is currently unknown. We need to find a value for "k" that makes 7 appear another time in the data set.

Options for "k":
To find the possible options for "k", we need to consider the remaining data points and how they could affect the frequency of 7.

The remaining data points are: 3, 8, 6, 1, 6, 10, 6, 5, 9, 13

To maximize the frequency of 7, we need to find a value for "k" that is equal to 7. This way, the value 7 will appear the most times in the data set.

Conclusion:
Since the mode of the data set is 7, the value of "k" should be equal to 7 in order to maximize the frequency of 7 in the data set.

Therefore, the value in the data set is 2k = 2(7) = 14.
Community Answer
If the mode of the following data is 7,then the value in the data set ...
3
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If the mode of the following data is 7,then the value in the data set 3,8,6,7,1,6,10,6,7,2k+5,9,7 and 13 is?
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If the mode of the following data is 7,then the value in the data set 3,8,6,7,1,6,10,6,7,2k+5,9,7 and 13 is? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the mode of the following data is 7,then the value in the data set 3,8,6,7,1,6,10,6,7,2k+5,9,7 and 13 is? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mode of the following data is 7,then the value in the data set 3,8,6,7,1,6,10,6,7,2k+5,9,7 and 13 is?.
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