Marks scored by 50 students in a test is given below. Find the mode of the given data.

42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43.

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answer is B.

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Detailed Solution

Marks scored by 50 students in a test is given below:
42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43.
We need to find the mode of the given data.
The following data can be arranged in ascending order as:
7, 7, 14, 16, 17, 19, 21, 22, 27, 27, 29, 31, 33, 33, 34, 34, 37, 37, 37, 37, 38, 38, 39, 39, 39, 39, 41, 42, 42, 42, 42, 42, 42, 43, 44, 47, 49, 51, 51, 51, 52, 53, 53, 53, 54, 57, 59, 59, 61, 62, 67.
A frequency distribution table can be made as shown below:
Question Image

From the frequency distribution table, it is clear that 42 is the most repeated score (6 times).
Thus, the mode of the given data is 42.
Hence, the correct option is 2.

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