Question

Calculate the arithmetic mean from the following.
$\begin{tabular}{|l|l|l|l|l|l|} Marks & 5 & 6 & 7 & 8 & 9 \\ No. of Students & 5 & 12 & 15 & 10 & 8 \end{tabular}$

Answer 1

Here, Arithmetic mean
= 5*5+6*12+7*15+8*10+9*8/5+12+15+10+8
= 354/50
=7.08

Answer 2

Answer:

7.08

Explanation:

As per the question,

Total number of students = 5 + 12 + 15 + 10 + 8 = 50

Total marks obtained by the students

= 5 × 5 + 6 × 12 + 7 × 15 + 8 × 10 + 9 × 8

= 25 + 72 + 105 + 80 + 72

= 354

As we know that  arithmetic mean is define as the

$Arithmetic\ mean = \frac{Total\ marks\ obtained}{Total\ number\ of\ student}$

Therefore,

$Arithmetic\ mean = \frac{354}{50}$

Arithmetic mean = 7.08

Hence, the required arithmetic mean = 7.08.