Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution?Describe what the labels woul dbe for the horizontal and...

Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution?

Describe what the labels woul dbe for the horizontal and vertical axis of the display. Explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean?

Asked on by geamye0023

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

I'm not in your class, but I would assume that you have discussed IQ (normally distributed with standard deviation of 15 and a mean of 100), height, and weight.

Most of a baby's physical traits that can be measured will have a normal distribution. For example the circumference of the head for a 9 month old. The mean circumference (girl) is about 44cm. You would label the horizontal axis in cm and the vertical axis in population percent from 0 to 100.

Most babies' head sizes should be about the same, but there will be differences due to genetics (adults with small heads will often have children with small heads) and medical conditions (e.g. encephalitis). There will be very few babies with very small heads, and very few with large heads, with the vast majority clumped in the middle.

I would expect the range from 43cm to 45 cm to represent 1 standard deviation. (At 3 years the head will be about 50 cm, and at age 9 about 55 cm.)

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