Question
Where would a value separating the top \( 15 \% \) from the other values on the graph of a normal distribution be found? Choose the correct answer below. A. the left side of the horizontal scale of the graph B. the right side of the horizontal scale of the graph C. on the top of the curve D. the center of the horizontal scale of the graph
Ask by Ross Martinez. in the United States
Feb 28,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value separating the top 15% is on the right side of the graph.
Solution
The top 15% of a normal distribution represents the extreme right tail of the curve. A value that separates the top 15% from the rest is the 85th percentile, which is found toward the right side of the horizontal (x) scale on the graph.
Thus, the correct answer is:
B. the right side of the horizontal scale of the graph
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Bonus Knowledge
In a normal distribution, the top \( 15\% \) of the values is found on the right side of the horizontal scale of the graph. This is because as we move toward the right, we encounter higher values, thus separating the top \( 15\% \) from the rest. So the correct answer is B. the right side of the horizontal scale of the graph. Keep in mind that this value corresponds to a z-score of approximately 1.04, which you can find using a z-table or standard normal distribution calculator!