Question

find the arithmetic mean of first 10 natural number​

Answer 1

Answer:

5.5

Step-by-step explanation:

$\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{10}$

$= \frac{55}{10 } \\ = 5.5$

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Answer 2

Answer:

5.5

Step-by-step explanation:

Arithmetic mean is nothing but the average

∴ Arithmetic mean of first 10 natural numbers = Average of first 10 natural numbers

⇒ $\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{10}$

I am going to find the sum using Arithmetic Progression concept but you can simply add them if you want

a = 1

d = 1

n = 10

$S_{n}$ = $\frac{n}{2}$ × [2a + (n - 1)d]

$S_{10}$ = $\frac{10}{2}$ × [2(1) + (10 - 1)(1)]

$S_{10}$ = $\frac{10}{2}$ × [2 + 9]

$S_{10}$ = $\frac{10}{2}$ × 11

$S_{10}$ = 5 × 11

$S_{10}$ = 55

Average = $\frac{1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10}{10}$

Average = $\frac{55}{10}$

Average = 5.5

∴ The Arithmetic mean of first 10 natural numbers is 5.5

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