Which of the following does NOT describe a standard normal curve?

A)Symmetrical
B)Centered about the mean
C)95% of the data falls within 3 standard deviations of the mean
D)8% of the data falls within 1 standard deviation of the mean
E)Bell shaped

Answer :

MathPhys

Answer:

C

Step-by-step explanation:

Normal curves are symmetrical, bell shaped, and centered about the mean.

According to the empirical rule, 68% is within 1 standard deviation, 95% is within 2 standard deviations, and 99.7% is within 3 standard deviations.

fichoh

The description which is not applicable to a standard normal distribution or curve from the options given are

  • 8% of the data falls within 1 standard deviation of the mean
  • 95% of the data falls within 3 standard deviations of the mean

A standard normal curve is also described as the area under a normal distribution curve.

Normal distributions a mean of 0 and standard deviation of 1. Hence, they are centered about the mean.

Since they are centered about the mean, they produce a symmetrical distribution which are described as being bell shaped.

68%, 95% and 99.7% of the data falls within 1, 2 and 3 standard deviation of the mean respectively.

Therefore, options C and D does not describe a standard normal curve.

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