Question

arithmetic mean of two numbers is 10 & standard deviation is 2, find that two numbers​

Answer 1

Answer:

Let x1x1 and x2x2 be the required numbers

Given mean is 20

=>x1+x2=40−−−−−−−−−−−−−(1)=>x1+x2=40−−−−−−−−−−−−−(1)

Standard deviation is 5

=>[(x1−20)2+(x2−20)2]/2−−−−−−−−−−−−−−−−−−−−−√=5−−−−(2)=>[(x1−20)2+(x2−20)2]/2=5−−−−(2)

Solving (1) and (2), one gets x1=15x1=15 or x1=25x1=25

x2=25x2=25 or x2=15x2=15

Thus, required numbers are 15 and 25 and the solution is unique.

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