This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Identify the given values. Mean () = 81 Standard deviation () = 130 Data point (x) = 250 Step 2: Calculate the z-score for the data point. The z-score measures how many standard deviations a data point is from the mean. The formula is: z = (x - )/() Substitute the given values: z = (250 - 81)/(130) z = (169)/(130) z = 1.3 Step 3: Determine if the data point is an outlier. A common rule for identifying outliers is that a data point is considered an outlier if its absolute z-score is greater than 2 or 3. • If |z| > 2, it's often considered an outlier. • If |z| > 3, it's generally considered a strong outlier. In this case, the calculated z-score is 1.3. Since |1.3| is less than 2 (and also less than 3), the data point is not considered an outlier. The final answer is not outlier. What's next?