Question

Find the mean of first eight natural numbers.

Answer 1

The first natural numbers are 1,2,3,4,5,6,7,8.

∴A.M=∑x/n

⇒ 1+2+3+4+5+6+7+8/8

= 36/8

=4.5

For Extra Knowledge:-

The word “mathematics” is derived from the Greek word “mathema” meaning knowledge. It includes the study of concepts such as number theory, algebra, mathematical analysis, etc. Archimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace. Archimedes was serving the King Hiero II of Syracuse by solving mathematical problems and by developing interesting innovations for the king and his army.

Notable inventions of Archimedes include the calculation of measurement of a circle, the method of exhaustion to measure the areas of the shapes, the relationship between spheres and cylinders, uses of prime numbers, the topic of infinity, the concepts of conoids and spheroids, the quadrature of the parabola, the equilibrium of the planes, spirals, Archimedes’ Principle and many more.

“The Fields Medal” is an award that is named after Archimedes as a tribute to his contributions to the field of science. He was killed by a Roman soldier in 212 BC as Sicily was a colony of Greeks that was invaded and attacked frequently by enemies.

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Answer 2

Answer:

Sum of all observation: 1+2+3+4+5+6+7+8 = 36

No. of all observation:8

$∴ Mean= \frac{sum \: of \: all \: terms}{no. \: of \:terms }$

$↦ Mean= \frac{36}{8}$

$↦ Mean= 4.5$

Therefore, The mean of first eight natural number is 4.5