Consider the standard normal curve given.

A graph shows the horizontal axis numbered 20 to 40. 30 is highlighted in an orange outline. Variance = 5 and is highlighted in an orange outline. The line shows an upward trend to from 20 to 30 then a downward trend from 30 to 40.

The mean is __.

The standard deviation is __.

The data point 37 is __ one standard deviation from the mean.

Consider the standard normal curve given A graph shows the horizontal axis numbered 20 to 40 30 is highlighted in an orange outline Variance 5 and is highlighte class=

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Answer:

mean: 30

standard dev: 5

the data point 37 is more than

Step-by-step explanation:

The mean is 30.

The standard deviation is 5

The data point 37 is more than one standard deviation from the mean.

What is a bell curve?

'A bell curve is the informal name of a graph that depicts a normal probability distribution. The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side. In a bell curve, the peak represents the most probable event in the dataset while the other events are equally distributed around the peak. The peak of the curve corresponds to the mean of the dataset.'

According to the given problem,

Since, the curve of the bell curve peaks at the mean, therefore, in the given bell curve, the curve peaks at 30.

The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. In the given bell curve, the points lie at a distance of 5. Therefore the standard deviation is 5.

The data point 37 is more than one standard deviation from the mean.

Since, the standard deviation is 5,

Mean = 30

Next Data Point = ( 30 + 5 )

                           = 35

Therefore the data point 37 is more than one standard deviation from the mean.

Hence, we can conclude, the bell curve has a mean of 30, standard deviation of 5 with the data point 37 being more than one standard deviation from the mean.

Learn more about Bell Curve here: https://brainly.com/question/1838638

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