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1 . The average of five consecutive integers is X. If the next two numbers are added, how shall the average vary?

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Answer: Option A

Explanation:

Given -

The average of five consecutive number is x

Formula Used -

Average = (sum of all observation)/(number of observation)

Concept Used -

If odd number of terms given then average is the middle number.

Solution -

Let the five consecutive number be a,(a+1),(a+2),(a+3),(a+4)

= Average = (5a+10)/5 = (a+2)

x = (a+2)

= If next two number (a+5) and (a+6) is added,

= Average = (7a+21)/7 = (a+3)

= If next two numbers be added then average increased by 1

∴ The average is increased by 1 if next two number is included.

Short - trick -

Let the number 1,2,3,4,5

= Average = 3

= If next two number be taken,

= Average increased by 1.

সমন্বিত ৭ ব্যাংক || অফিসার (ক্যাশ) (24-05-2024)

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