Respuesta :

Answer:

The z-scores of the values in that data set will have mean 0 , standard deviation 1 , and their shape will be bell shaped.

Step-by-step explanation:

We are given the following in the question:

The data set is uniform.

Mean = 0

Standard Deviation = 1

Normal Distribution:

  1. The normal distribution is a uniform distribution with mean 0 and standard deviation 1.
  2. The curve has a bell shape.
  3. This distribution is symmetric about the mean.
  4. Data near the mean are more frequent than data far from the mean.

Thus, we can write,

The z-scores of the values in that data set will have mean 0 , standard deviation 1 , and their shape will be bell shaped.

Normally distributed data set is symmetrical. Normally distribution is a proper term for the bell curve. A certain uniform data set, which has z-scores with values as mean 0 , standard deviation 1 the shape of such data set has  symmetrical bell shape.

Given information-

The data set given is uniform.

The mean of the data set is 0.

The standard deviation of the data set is 1.

Z score

Z score is the measure of the data set which tells us about the relationship between the value and the mean of the group of the value.

When the value of mean is 0 and value of standard deviation is 1 then the data Is normally distributed.

Normally distribution

Normally distributed data set is symmetrical. Normally distribution is a proper term for the bell curve. In the normally distributed data set majority of points are similar values.

Hence when a certain data set is uniform which has z-scores with values as mean 0 , standard deviation 1 the shape of such data set will be symmetrical bell shape.

Learn more about the normally distribution here;

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