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A student got marks in 5 subjects in a monthly test is given below: 2,3,4,5,6.In these obtained marks, 4 is the
- a)Mean and median
- b)Median but no mean
- c)Mean but no median
- d)Mode
Correct answer is option 'A'. Can you explain this answer?
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A student got marks in 5 subjects in a monthly test is given below: 2,...
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A student got marks in 5 subjects in a monthly test is given below: 2,...
Understanding Mean and Median
To determine why 4 is both the mean and median of the marks obtained by the student, let's analyze the data and calculations involved.
Marks Obtained
- The student received the following marks: 2, 3, 4, 5, 6.
Calculating the Mean
- The mean is calculated by adding all the marks and dividing by the number of subjects.
- Total Marks = 2 + 3 + 4 + 5 + 6 = 20
- Number of Subjects = 5
- Mean = Total Marks / Number of Subjects = 20 / 5 = 4
Thus, the mean of the marks is 4.
Calculating the Median
- The median is the middle value when the data is arranged in ascending order.
- Arranging the marks: 2, 3, 4, 5, 6
- Since there are 5 numbers (an odd count), the median is the value at the center position, which is the third number in the sequence.
Therefore, the median is also 4.
Conclusion
- Since both calculations yield the same result:
- Mean = 4
- Median = 4
This confirms that 4 is indeed both the mean and the median of the marks obtained by the student.
Final Answer
- Hence, the correct option is:
- a) Mean and median
To determine why 4 is both the mean and median of the marks obtained by the student, let's analyze the data and calculations involved.
Marks Obtained
- The student received the following marks: 2, 3, 4, 5, 6.
Calculating the Mean
- The mean is calculated by adding all the marks and dividing by the number of subjects.
- Total Marks = 2 + 3 + 4 + 5 + 6 = 20
- Number of Subjects = 5
- Mean = Total Marks / Number of Subjects = 20 / 5 = 4
Thus, the mean of the marks is 4.
Calculating the Median
- The median is the middle value when the data is arranged in ascending order.
- Arranging the marks: 2, 3, 4, 5, 6
- Since there are 5 numbers (an odd count), the median is the value at the center position, which is the third number in the sequence.
Therefore, the median is also 4.
Conclusion
- Since both calculations yield the same result:
- Mean = 4
- Median = 4
This confirms that 4 is indeed both the mean and the median of the marks obtained by the student.
Final Answer
- Hence, the correct option is:
- a) Mean and median
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A student got marks in 5 subjects in a monthly test is given below: 2,3,4,5,6.In these obtained marks, 4 is thea)Mean and medianb)Median but no meanc)Mean but no mediand)ModeCorrect answer is option 'A'. Can you explain this answer?
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