Question

"distribution with µ = 35 and σ = 8 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. in the new, standardized distribution your score is x = 60. what was your score in the original distribution"

Answer 1

Your score in the new standardized distribution is 60. Using the formula z = (x - µ) / σ, we find that the z-score is 1. Rearranging the formula, we find that your score in the original distribution was 43.

Step-by-step explanation:

To find your score in the original distribution, we can use the concept of z-scores. A z-score tells us how many standard deviations a score is from the mean. In this case, the original distribution had a mean of 35 and a standard deviation of 8, while the new standardized distribution has a mean of 50 and a standard deviation of 10.

Your score in the new standardized distribution is x = 60. To find your score in the original distribution, we can calculate the z-score corresponding to x = 60. Using the formula z = (x - µ) / σ, where µ is the mean and σ is the standard deviation, we have: z = (60 - 50) / 10 = 1.

Now, we can use the z-score to find the corresponding score in the original distribution. Rearranging the formula, we have x = µ + z * σ. Plugging in the values, we get x = 35 + 1 * 8 = 43. Therefore, your score in the original distribution was 43.

Answer 2

math is soooo hard like fr tho bruhhh :P