Answer:
Step-by-step explanation:
1) Find the Mean of all the numbers.
3+4+5+7+10+12+15=56
56/7=8 mean is 8
Now We Calculate Standard Deviation:
S=[tex]\sqrt{(3-8)^2+(4-8)^2+(5-8)^2+(7-8)^2+(10-8)^2+(12-8)^2+(15-8)^2}[/tex]
You take each number from the problem i.e 3,4,5...
and then you subtract the mean from it and then square it.
S=[tex]\sqrt{(-5)^2+(-4)^2+(-3)^2+(-1)^2+(2)^2+(4)^2+(7)^2}[/tex]
S=[tex]\sqrt{25+16+9+1+4+16+49}[/tex]
S=[tex]\sqrt{120}[/tex]
S=[tex]\sqrt{120}/7[/tex]
7 is the amount of data units given in the problem.
120/7=17.1428571429
[tex]\sqrt{17.1428571429}[/tex] =4.1403933560541
Nearest hundredth=4.14
