Respuesta :
Answer:
The standard deviation of SAT Verbal scores is 74.07 which is closest to 75
Step-by-step explanation:
Given that:
[tex]Q_{1}=500\\\\Q_{3}=600\\[/tex]
Using quartile equations:
[tex]Q_{1}\approx \mu-(0.675)\sigma = 500---(1)\\\\Q_{#}\approx \mu+(0.675)\sigma = 600---(2)\\[/tex]
Adding (1) and (2)
[tex]2\mu =1100\\\\\mu=550[/tex]
Inserting in (1) or (2)
[tex]550-(0.675)\sigma=500\\\\\sigma=\frac{-50}{-0.675}\\\\\sigma=74.07\\\\Or \,\,from\,\,(2)\\\\550+(0.675)\sigma=600\\\\\sigma=\frac{50}{0.675}\\[/tex]
Answer:
the standard deviation is approx 74.07 which closest to 75
Step-by-step explanation:
The standard deviation can be estimated with the formula below provided the sample does not deviate from normal distribution
S.D approx = q₃ - q₁ / 1.35 where q₃ = 600, and q₁ = 500
S.D approx = 100 / 1.35 = 74.07
