Question

quick question on normal distribution

Answer 1

just started these distributions... getting confused with what x and y axis represent exactly here... any help is highly appreciated

Answer 2

how does 68% of observations fall under \(mean \pm \sigma\) ?

Answer 3

for any kind of data ?

Answer 4

in the textbook they didnt mention what exactly y-axis represent.. anyone shine some light on this ?

Answer 5

Let us say the data deals with the height of 1000 adult males. The x-axis will be the height and the y-axis will be the count of number of adults in the sample that have that height.

Answer 6

y-axis = frequency
x-axis = value

looks good :) how does this give 68% ?

Answer 7

i mean the specific data will not affect how many observation will fall under first SD is it ?

Answer 8

Standard Deviation is a measure of how much the data "deviates" from the mean. And IF the data is "normally distributed" then no matter what the mean and SD is, the area under the curve will always be 68% between mean-SD to mean+SD.

Answer 9

ahh that goes straight into my head xD thanks a lot for the clear explanation :)

Answer 10

You are welcome. :)