Question

50 students took a test. the result of those who passed the test is given below:marks:4,5,6,7,8,9 and students :8,10,9,6,4,3 . If the average marks for all the 50 students in were 5.16, find out the average marks of the students who failed.
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Answer 1

Answer:

The correct answer is 2.1

Step-by-step explanation:

Let the average mark of failed student=X

Number of failed student=50-(8+9+10+6+4+3)=10

From the given condition we get

(4×8 +5×10 +6×9 +7×6 +8×4 +9×3 + X×10)/50 =5.16

10X=21

X=2.1

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Answer 2

Given:

marks:4,5,6,7,8,9

students: 8,10,9,6,4,3

Average marks for 50 students$=5.16$

To find:the average marks of the students who failed.

Solution:

Let the average mark of failed student$=X$

Therefore,

Number of failed student$50-(8+9+10+6+4+3)=10$

Know that, From the given condition,

$\[\frac{{\left( {4 \times 8 + 5 \times 10 + 6 \times 9 + 7 \times 6 + 8 \times 4 + 9 \times 3 + X \times 10} \right)}}{{50}} = 5.16\]$  

$\[\begin{array}{l} \Rightarrow 10X = 21\\ \Rightarrow X = \frac{{21}}{{10}}\\ \Rightarrow X = 2.1\end{array}\]$

Hence, the average marks of the students who failed is 2.1.