what precent of data is greater than the mean?

[paris567]

Hello, I'm struggling with this work problem. I've gotten as far as finding the percentage that lies within 3 standard deviations. : 99.7%
but I'm not sure how to finish the question. if you could help me finish the question it would be greatly appreciated!! THANKS

question:

 

[Steven G]

How much is the total area under that bell curve?

 

[paris567]

The total under the bell curve is 1 (100%)
and for the range of z I'm not exactly sure

 

[Steven G]

The range of z is across the entire bell curve. Over the entire range of z the area is 1. So what is the area of the bell curve greater than the mean. Where is the mean located on the bell curve?

 

[paris567]

the mean is located at the highest point of the bell curve?

 

[Steven G]

the mean is located at the highest point of the bell curve?

OK, so what percent of the area is above the mean??

 

[paris567]

68%

 

[Steven G]

68%

Stop looking up answers. Look at the bell curve. Is it symmetric? How much of the area is to the right of the mean? How much is to the left of the mean? Just look at the curve!

 

[paris567]

the bell curve is symmetric, right side is 50% and left side is 50%

 

[Steven G]

the bell curve is symmetric, right side is 50% and left side is 50%

So what percent of the data is above mean?

 

[paris567]

0%? or 100%
sorry, appreciate your help

 

[Steven G]

0%? or 100%
sorry, appreciate your help

Come on! As you said the mean is in the middle of the curve. You also said that 50% of the area is to the right of the middle and 50% is to the left of the middle. So what percent is greater than the mean (to the right of the mean)?

 

[Steven G]

0% is all the way to the left? Is that just the area greater than the mean?
100% is ALL the area. Is that just the area greater than the mean (to the right of the mean = to the right of the middle)?

Before we go any further you need to draw a bell curve and shade in the area above the mean and post this image.