Respuesta :
Answer:19.84
Step-by-step explanation:
S. D = √(Variance)
To find the standard deviation, we need to first find the variance
variance = ∑(x-x⁻)² / n
where x⁻ = mean
n=no. of data = 10
∑ means summation
again, we to find the mean
mean(x⁻) = 58+89+65+78+55+26+93+46+43+
59 /10
=612/10
=61.2
mean(x⁻) =61.2
x x⁻ (x-x⁻)²
58 61.2 10.24
89 61.2 772.84
65 61.2 14.44
78 61.2 282.24
55 61.2 38.44
26 61.2 1239.04
93 61.2 1011.24
46 61.2 231.04
43 61.2 331.24
59 61.2 4.84
∑(x-x⁻)² = 10.24+772.84+14.44+282.24+38.44+1239.04+1011.24+231.04+331.25+ 4.84 = 3935.6
variance = ∑(x-x⁻)² / n
=3935.6 / 10
=393.56
variance = 393.56
S. D = √(Variance)
=√(393.56)
=19.8383
S.D = 19.84 to two decimal place
Therefore the standard deviation is 19. 84
