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If the mode of the data 12, 9, 10, 12, 13, (2K - 2), 13, 19, 15, and 17 is 12, find the value of K.
Question

If the mode of the data 12, 9, 10, 12, 13, (2K - 2), 13, 19, 15, and 17 is 12, find the value of K.

A.

8

B.

6

C.

7

D.

5

Correct option is C

Given:
Data points: 12, 9, 10, 12, 13, (2K - 2), 13, 19, 15, 17
Mode of the data = 12
Formula Used:
The mode is the number that appears most frequently in a dataset.
Solution:
Count the frequencies of the known numbers.
Frequency of 12 = 2
Frequency of 13 = 2
Frequency of 9, 10, 15, 17, 19 = 1 each
Since the mode is 12, it must have the highest frequency. Thus, the unknown term must be equal to 12 to make its frequency 3.
2K - 2 = 12
2K = 14
K = 7
Final Answer
So the correct answer is (c)

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