00:01
Alright, in your question you were given iq scores and asked to convert them back to raw scores from an intelligence test.
00:10
To do that we need to first calculate the z -score for each of the given iq scores, and that's how we'll begin.
00:20
They gave us the mean of an iq score and the standard deviation of an iq score.
00:26
So the z -score is found by taking the data value or the score minus the mean divided by the standard deviation.
00:34
So that's going to end up being 5 15ths, and i'm going to leave this a fraction for this one because otherwise it would be a repeating decimal, 1 3rd.
00:44
Let's go ahead and get the z -scores for each of these.
00:48
The next one would be 85 minus 100 divided by 15, which would be negative 15 divided by 15, or negative 1.
01:00
And the last one is going to be a 0, since the iq score matched the mean iq score, it's just 0.
01:09
Now, what we want to do is now convert by using that z -formula again, z equals data value minus the mean over standard deviation, but this time we know the z -score from what we just completed, and we're using, we're looking for the raw score, which is x, and we're using the mean and standard deviation from this intelligence test.
01:42
So it's going to be 239 over 41.
01:46
To solve this, i would first multiply both sides by 41, and i'll just keep working out this direction.
01:59
So that's 41 3rds equals x minus 239, and then just add 239 to that number.
02:11
And now i'll take it to a decimal with my calculator...
6 comments
Phillip L.
July 4, 2023
Gonna come back, Numerade is so helpful
Donald R.
July 13, 2023
Thanks so much for breaking down the process of converting IQ scores to raw scores Super helpful and easy to follow! Have a great day
Ryan S.
September 2, 2023
Yo, Jason, huge thanks for that dope breakdown on converting IQ scores to raw scores. Your step-by-step approach and cool explanations really made it click for me. Much love for helping us out!
Randall F.
October 3, 2023
Appreciate you guys, you're awesome!
Mario B.
October 14, 2023
Thanks for keeping it real and explaining the process step by step! I totally get it now You're the best
Ethan B.
October 22, 2023
Big ups for the free trial Numerade! Also thanks for helping me study to pass my bar exam I'm gonna be rich one day because of you