For the standard normal curve, find the z-score that corresponds to the first quartile.
-.675 ... approx.
david lane normal
To find the z-score that corresponds to the first quartile of the standard normal curve, we need to first understand what the first quartile represents. The first quartile divides the data into four equal parts, where 25% of the data falls below it and 75% falls above it.
Since the standard normal curve has a mean of 0 (μ = 0) and a standard deviation of 1 (σ = 1), we can use a z-table or a statistical calculator to find the z-score associated with the first quartile.
Using a z-table:
1. Look up the area/probability corresponding to the first quartile, which is 25% or 0.25.
2. Search for the closest value to 0.25 in the body of the z-table.
3. The corresponding z-score is the value found in step 2.
Using a statistical calculator:
1. Enter the probability value of 0.25 into the calculator.
2. The calculator will find and display the corresponding z-score.
By following either of these methods, you can find the specific z-score that corresponds to the first quartile of the standard normal curve.