Technical Statistics Question
For 55 graduating seniors who took the Miller Analogies Test (MAT), the following results were obtained: ∑ X = 2,942.5, ∑ X2 = 165,606.68 Use the normal distribution to answer the following questions.
15-What is the percentile rank of a score of 71?
Saw this in a technical book. Have not taken stats yet...so how would you suggest going about this? and what did you get as an answer?
Variance = E[X^2]-(Ex^2) Variance = (165,606.68/55) - (2,942.5/55)^2 = 3011.031 - 2862.25 = 148.7805
std dev ~ 12.2 mean = 53.5
That's your distribution, and now you can get the percentile pretty straightforward. Lazy to calculate, but a quick reverse engineering from percentiles says it's around 92.5 percentile
hmm that is not what it has as the answer...
∑X2 is ∑(X^2), right? And by percentile you mean (100 * P(X = 71)), right?
If yes and yes, your book's smoking some strong stuff.
yes. that is correct
92.36%?
you forgot to divide by n=55 to get the average ...
could be a sampling vs pop calculation difference something to do with 1/root n or just root n bleh whats the answer
Its sad how quickly I forget this stuff. Two semesters to be exact.
Ratione placeat optio et fugiat repudiandae molestiae perspiciatis. Beatae et repellendus corrupti earum sed aliquid nesciunt. Minus a rerum sit omnis reprehenderit. Eveniet et voluptas omnis quam aut. Ut ipsa assumenda recusandae eum hic. Iure sequi voluptas asperiores ipsa amet sed et minus.
Iure blanditiis consectetur similique tempore. Incidunt minima repellendus non unde enim.
See All Comments - 100% Free
WSO depends on everyone being able to pitch in when they know something. Unlock with your email and get bonus: 6 financial modeling lessons free ($199 value)
or Unlock with your social account...