Answer: 1.18
Step-by-step explanation:
Let m be mean
Mean= sum/ n
Mean= (5.3+2.3+2.9+4.3+3.8 ) / 5
m= 18.6 / 5
M= 3.72
Mean= 3.72
Standard deviation sample formula is:
S.D= sqrt((|x-m|^2) / n-1)
So let start with |x-m|^2
For 1st: |5.3-3.72|^2=2.4964
For 2nd: |2.3-3.72|^2=2.0164
For 3rd: |2.9-3.72|^2=0.6724
For 4th: |4.3-3.72|^2=0.3364
For 5th: |3.8-3.72|^2=0.0064
Summation of |x-m|^2 = 5.528
Standard deviation sample formula is:
S.D = sqrt((summation of |x-m|^2) / n-1)
S.D=sqrt(5.528 / 4)
S.D=sqrt(1.382)
S.D=1.176
S.D=1.18 to 2 decimal place
