Question

Find the average of number from 1 to 10​

Answer 1

Answer:

→°→° 5.5 is an average of numbers from 1 to 10 mentioned in the below table, by substituting the total sum and count of numbers in the below formula.

Step-by-step explanation:

→°→ Answer: 55/10 or 5.5

Solution:↓°↓

By definition,

Mean or Arithmetic Mean of the integers from 1 to 10

= (Sum of the integers from 1 to 10)/(number of integers)

Number of integers= 10

Sum of the integers from 1 to 10 = N(N+1)/2 (where N = number of integers)

=( 10x11)/2 = 5x11 = 55

Therefore,

Mean of the integers from 1 to 10 = 55/10 = 5.5 (Proved)

An Interesting Observation Here Is:

5.5 = (1+10)/2 = Mean of the first and last number of the A.P. This provides a quick method of calculation for the Mean of an A.P. without the need of going through the steps we have done above.

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