Question

Calculate arithmetic mean from the following data:
Marks (out of 5) 0 1 2 3 4 5
Number of student 3 7 8 5 3 4

Answer 1

Explanation:

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Answer 2

Answer:

The value of arithmetic mean is 2.33

To find:

Arithmetic mean = A =?

Formula:

$A=\frac{\sum f_{i} y_{i}}{\sum f_{i}}$

Where,

$f_i$ = Marks

$y_i$ = Number of students

Solution:

The arithmetic mean is ratio sum of the given data to the total number of data. It is mostly used in statistics.

On substituting the value from the question,

$\Rightarrow A=\frac{(0 \times 3)+(1 \times 7)+(2 \times 8)+(3 \times 5)+(4 \times 3)+(5 \times 4)}{(3+7+8+5+3+4)}$

Now,

$\Rightarrow A=\frac{0+7+16+15+12+20}{30}$

$\Rightarrow A=\frac{70}{30}$

$\therefore A=2.33$