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The mean of the marks obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275, 307, then the marks obtained by the seventh student are​
  • a)
    174
  • b)
    164
  • c)
    125
  • d)
    200
Correct answer is option 'B'. Can you explain this answer?
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Mean of Marks Obtained by 7 Students
Given that the mean of the marks obtained by 7 students is 226.

Marks Obtained by 6 Students
Also, given that the marks obtained by six of them are:
340, 180, 260, 56, 275, 307

Finding Marks Obtained by the Seventh Student
We need to find the marks obtained by the seventh student.

Formula for Mean
The formula for mean is:
Mean = (Sum of all the values) / (Number of values)

Using this formula, we can find the sum of the marks obtained by the six students:

Sum of the marks obtained by six students = 340 + 180 + 260 + 56 + 275 + 307 = 1418

Using the formula for mean, we can find the sum of the marks obtained by all the seven students:

Sum of the marks obtained by all the seven students = 226 x 7 = 1582

Finding the Marks Obtained by the Seventh Student
To find the marks obtained by the seventh student, we can subtract the sum of the marks obtained by the six students from the sum of the marks obtained by all the seven students:

Marks obtained by the seventh student = Sum of marks obtained by all the seven students - Sum of the marks obtained by six students
= 1582 - 1418
= 164

Therefore, the marks obtained by the seventh student are 164.
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The mean of the marks obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275, 307, then the marks obtained by the seventh student area)174b)164c)125d)200Correct answer is option 'B'. Can you explain this answer?
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