Please help me solve this question about z-score&probability

JHE

New Member
#1
The math composite score ranges from 1 to 36. In the full semester, math scores were normally distributed with a mean of 21 and a standard deviation of 5.5. What test score is equally as likely as 32?

Actually, I don't know what this question wants to ask, does it want me to answer the probability of getting 32? Thanks!
 

katxt

Active Member
#2
I think it means this - The normal scores are humped around 21 and scores on each side are less likely than scores near 21. There will be a score on the low side of 21 which is as likely as 32 on the high side. Normal is symmetric so it shouldn't be too hard to work out what that low score is.
 

JHE

New Member
#3
I think it means this - The normal scores are humped around 21 and scores on each side are less likely than scores near 21. There will be a score on the low side of 21 which is as likely as 32 on the high side. Normal is symmetric so it shouldn't be too hard to work out what that low score is.
Yes, thank you, got it!