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A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard deviations away from the mean.

Respuesta :

45+8.3 = 53.3 

45 - (2(8.3)) = 28.4

The value is  28.4 that is –2 standard deviations away from the mean.
JeanaShupp

Answer: 28.4

Step-by-step explanation:

Given : A set of data with a mean of [tex]\mu= 45[/tex]and a standard deviation of  [tex]\sigma=8.3[/tex] is normally distributed.

Now, the value that is –2 standard deviations away from the mean is given by :-

[tex]x=\mu-2\sigma\\\\\Rightrrrow\ x=45-2(8.3)\\\\\Rightarrow\ x=45-16.6\\\\\Rightrrrow\ x=28.4[/tex]

Hence, the value that is –2 standard deviations away from the mean. = 28.4

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