Question

Q3: Find the standard deviation of the following observation
2,4,6,8,10,12,14,16,18,20​

Answer 1

Answer:

s.d=5.7

Step-by-step explanation

s.d=√∑(x-x_)²÷n

x_=2+4+6+8+10+12+14+16+18+20÷10=110÷10=11

x-x_=-9,-7,-5,-3,-1,1,3,5,7,9

x=2,4,6,8,10,12,14,16,18,20

(x-x_)²=81,49,25,9,1,1,9,25,49,81

variance=∑(x-x_)÷10

∑(x-x_)²=81+49+25+9+1+1+9+25+49+81=330

v=330÷10=33

standard deviation=√v

s.d=√33

s.d=5.744562647

≈5.7

x_=mean

x=number