The marks obtained by a set of students in an exam are recorded in a grouped frequency table.The maximum number of students are found to be in the range of (70-80) marks.If the number of students in the ranges before and after the (70-80) range are equal, which ofthe following is the mode of the data?A) 70 marksB) 75 marksC) 80 marksD) (mode cannot be found as frequency is not given
Question
The marks obtained by a set of students in an exam are recorded in a grouped frequency table.The maximum number of students are found to be in the range of (70-80) marks.If the number of students in the ranges before and after the (70-80) range are equal, which ofthe following is the mode of the data?A) 70 marksB) 75 marksC) 80 marksD) (mode cannot be found as frequency is not given
Solution
The mode of a set of data is the value that appears most frequently. In this case, the question states that the maximum number of students are found in the range of 70-80 marks. Therefore, the mode of the data is within this range.
However, the exact value within this range is not specified. In grouped data, the mode is usually taken as the midpoint of the group with the highest frequency. The midpoint of the range 70-80 is 75.
So, the mode of the data is 75 marks. Therefore, the answer is B) 75 marks.
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