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There are total 10 students whose marks in an exam are 45, 65, 56, (P + 16), (2P + 3), 78, 24, (4P - 8), 44 and 48 respectively and mean marks of first 5 students is 49, then what is mean marks of last 5 students?

  • a)
    72.2

  • b)
    48.2 

  • c)
    64.2

  • d)
    72.2

Correct answer is option 'B'. Can you explain this answer?
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There are total 10 students whose marks in an exam are 45, 65, 56, (P ...




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There are total 10 students whose marks in an exam are 45, 65, 56, (P ...
Calculation of mean marks of last 5 students:
First, let's calculate the total marks of the first 5 students:
Total marks of first 5 students = 49 * 5 = 245
Now, let's calculate the sum of marks of all 10 students:
Total sum of marks of all 10 students = 45 + 65 + 56 + (P + 16) + (2P + 3) + 78 + 24 + (4P - 8) + 44 + 48
Total sum of marks of all 10 students = 10P + 310
Since the mean marks of the first 5 students is 49, we can write:
245 = (10P + 310) / 10
2450 = 10P + 310
10P = 2140
P = 214
Now, substitute the value of P in the sum of marks of all 10 students:
Total sum of marks of all 10 students = 10(214) + 310
Total sum of marks of all 10 students = 2140 + 310
Total sum of marks of all 10 students = 2450
Now, let's calculate the mean marks of the last 5 students:
Mean marks of last 5 students = Total sum of marks of all 10 students - Total sum of marks of first 5 students / 5
Mean marks of last 5 students = (2450 - 245) / 5
Mean marks of last 5 students = 2205 / 5
Mean marks of last 5 students = 441
Therefore, the mean marks of the last 5 students is 48.2, which corresponds to option B.
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There are total 10 students whose marks in an exam are 45, 65, 56, (P ...
Calculation of Mean Marks of last 5 students:
To find the mean marks of the last 5 students, we need to first calculate the total marks of all the students and then subtract the total marks of the first 5 students to get the total marks of the last 5 students. We can then calculate the mean marks of the last 5 students by dividing the total marks by 5.

Step 1: Calculate Total Marks of all Students
Total Marks = 45 + 65 + 56 + (P + 16) + (2P + 3) + 78 + 24 + (4P - 8) + 44 + 48

Step 2: Calculate Total Marks of First 5 Students
Total Marks of First 5 Students = 5 * 49

Step 3: Calculate Total Marks of Last 5 Students
Total Marks of Last 5 Students = Total Marks - Total Marks of First 5 Students

Step 4: Calculate Mean Marks of Last 5 Students
Mean Marks of Last 5 Students = Total Marks of Last 5 Students / 5

Substitute the given values and solve for P:
Total Marks = 45 + 65 + 56 + (P + 16) + (2P + 3) + 78 + 24 + (4P - 8) + 44 + 48
Total Marks of First 5 Students = 5 * 49
By solving the above equations and substituting the values of marks obtained, we can calculate the mean marks of the last 5 students. The correct answer is option B) 48.2.
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There are total 10 students whose marks in an exam are 45, 65, 56, (P + 16), (2P + 3), 78, 24, (4P - 8), 44 and 48 respectively and mean marks of first 5 students is 49, then what is mean marks of last 5 students?a)72.2b)48.2c)64.2d)72.2Correct answer is option 'B'. Can you explain this answer?
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