Answer:
0.27
Step-by-step explanation:
The standard deviation of a uniform distribution is:
σ² = (b − a)² / 12
σ² = (32.51 − 31.58)² / 12
σ² = 0.0721
σ = 0.268
Rounded to the hundredths place, the standard deviation is 0.27.
To solve this question, we use concepts of the uniform probability distribution.
Using this, we get that the standard deviation in volumes of quart-size Hellmann's mayonnaise jars is of 0.2685 fluid ounces.
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The standard deviation is:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
The actual volumes of quart-size jars of Hellmann's mayonnaise are uniformly distributed from 31.58 to 32.51 fluid ounces.
This means that [tex]a = 31.58, b = 32.51[/tex]
Find the standard deviation in volumes of quart-size Hellmann's mayonnaise jars (in fluid ounces).
[tex]S = \sqrt{\frac{(32.51 - 31.58)^2}{12}} = 0.2685[/tex]
Thus, the standard deviation is of 0.2685 fluid ounces.
A similar example is given at https://brainly.com/question/15855314
