Six Sigma Green Belt

Category - Black Belt

Christina is the newest intern hired in the accounting department. According to her high school records, Christina scored a 650 on her math SAT. The mean score and deviation are 450 and 100, respectively. How many standard deviations above the mean did Christina score?
  1. 4
  2. 3
  3. 2
  4. 1
Explanation
Answer: C - Christina’s score is 2 standard deviations above the mean.

Key Takeaway: To calculate how much a data point deviates from the mean, it is important to calculate the Z-statistic as seen in the formula below. Using this formula, Christina scored 2 standard deviations above the mean so would not be considered an outlier.

Z = (650 - 450)/100 = 2
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