Suppose that people's heights (in centimeters) are normally distributed, with a mean of 175 and a standard deviation of 6. We find the heights of 100 people. How many would you expect to be between 169 and 181 cm tall?

Question

eyust707 · Answer

So that means that if we measure a bunch of people usually their height is about 175

eyust707 · Answer

sometimes its lower

eyust707 · Answer

sometimes it higher

eyust707 · Answer

the standard deviation tells us how much higher and how much lower

eyust707 · Answer

It tells that if we measure everyone 2/3 of the time the peoples height will fall within the standard deviation

eyust707 · Answer

if you want to be more precise its 68.2% of the measurements will fall within the SD

eyust707 · Answer

so thats the idea this question is asking about

eyust707 · Answer

They are asking if we measure 100 how many of them will fall within the standard deviation

eyust707 · Answer

well thats easy 68% of them will be within the SD

eyust707 · Answer

whats 68% of 100?

anonymous · Answer

That would be 68 people is what your saying best guess?

eyust707 · Answer

yes! 68 people is the correct answer

eyust707 · Answer

we expect 68% of the data to fall within the SD

anonymous · Answer

I'll double check the answer and get back to you shortly on the validity of the answer.

eyust707 · Answer

okay..