Question 1192261
Here's how to find the 75th percentile score:

**1. Understand Percentiles and Z-scores**

* The 75th percentile is the score below which 75% of the data falls.
* Z-scores measure how many standard deviations a particular score is away from the mean.

**2. Find the Z-score for the 75th Percentile**

You can use a Z-table or a calculator with statistical functions to find the Z-score corresponding to the 75th percentile (0.75). The Z-score is approximately 0.67.

**3. Use the Z-score Formula**

The formula to convert a Z-score to a raw score (the actual test score) is:

X = μ + (Z * σ)

Where:

* X is the raw score you're trying to find
* μ is the mean of the distribution (122.6)
* σ is the standard deviation (18)
* Z is the Z-score (0.67)

**4. Calculate**

X = 122.6 + (0.67 * 18)
X = 122.6 + 12.06
X = 134.66

**5. Round**

Rounding to the nearest whole number, the 75th percentile score is 135.