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kaylanaparker kaylanaparker
  • 01-06-2024
  • Mathematics
Answered

A data set has a mean of 51 and a standard deviation of 5. What score is 3 standard deviations above the mean?

Verified Answer :

tanzalice tanzalice
  • 01-06-2024

Answer:

66

Step-by-step explanation:

Use the formula:

\(X = \text{mean} + (\text{number of standard deviations} \times \text{standard deviation})\).

Substituting the given values, we get:

\(X = 51 + (3 \times 5) = 51 + 15 = 66\).

Therefore, the score that is 3 standard deviations above the mean is 66.

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