Where are the points of inflection on a normal distribution curve?
Points of inflection are one standard deviation away from the mean
How much data lies within each standard deviation of the mean?
68% within 1 se of the mean
95% within 2 se of the mean
99.7% within 3 se of the mean
What is the difference between the data set of normal and binomial distribution?
Normal distribution is continuous whereas binomial is discrete
Where is the probability of a group of data on the normal distribution curve?
The area under the curve
What is the format was writing out that a variable is normally distributed?
X - N(Mean , se2)
How do you find IQR of normal distribution?
Find which value gives 0.75 probability and which gives 0.25
Find the difference between the two values
How to do inverse normal distribution?
Enter the probability into the calculator and find the value for which it corresponds to
What is the formula for standard normal distribution?
Z = X - Mean / se
What is the relationship between mean and median in normal distribution?
They are equal
What is the format of standard normal distribution?
Z - N(0 , 1)
Why is standard normal distribution have mean of 0 and se of 1?
Mean = 0 because mean is subtracted from every value
se = 1 because standard deviation is divided from every value
What is another way of writing out standard normal distribution?
Phi ( a ) = P( Z < a )
How do you approximate binomial distribution with normal distribution?
X - B(n , p)
Mean = n * p
Se = Sqrt(n * p *(1 - p))
What is the conditions for binomial distribution to be approximated with normal distribution?
‘n’ is large and ‘p’ is close to 0.5
Why does continuity correction need to be used?
Binomial is discrete whereas normal is continuous
How does each binomial inequality change to be normally distributed?
π (π β€ π₯) —> π (π β€ π₯ + 0.5)
π (π < π₯) —> π (π < π₯ - 0.5)
π (π β₯ π₯) —> π (π β₯ π₯ β 0.5)
π (π > π₯) —> π (π > π₯ + 0.5)
π (π = π₯) —> π (π₯ β 0.5 < π < π₯ + 0.5)
