Question

3. The arithmetic mean of a + 2, a and a - 2​

Answer 1

Solution -

In this question we have to find the arithmetic mean of a + 2, a and a - 2.

⠀

Arithmetic mean is given as :-

$\bf\longmapsto{\boxed{\pink{A.M = \dfrac{Sum\: of\: all\: observation}{No.\: of\: observation}}}}$

⠀

Or, arithmetic mean for 3 observation is given as

$\bf\longmapsto{\boxed{\pink{A.M = \dfrac{a + b + c}{3}}}}$

⠀

Let us consider,

• a = a + 2
• b = a
• c = a - 2

⠀

Putting the values

$\sf\dashrightarrow{A.M = \dfrac{(a + 2) + a + (a - 2)}{3}}$

⠀

$\sf\dashrightarrow{A.M = \dfrac{a + a + a + 2 - 2}{3}}$

⠀

$\sf\dashrightarrow{A.M = \dfrac{3a}{a}}$

⠀

$\frak\dashrightarrow{\purple{A.M = a}}$

⠀

Hence,

• Arithmetic mean of the given observation is a.

━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Answer:

a is the arithematic mean

Step-by-step explanation: