makellasawesome makellasawesome
  • 17-07-2017
  • Mathematics
contestada

A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1.3. What does a z-score of 1.3 mean?

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wizard123
wizard123 wizard123
  • 18-07-2017
A z-score tells you how many standard deviations a point is from the mean.
[tex]z = \frac{x - mean}{std dev}[/tex]
Working backwards with this formula,
[tex]x = z*std dev + mean \\ \\ x = 1.3*3 + 12 \\ \\ x = 15.9[/tex]

So the data point is 15.9 and is 1.3 std deviations from the mean of 12.

Hope this helps.
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leahwinter
leahwinter leahwinter
  • 28-04-2021

Answer:

B. The data point is 1.3 standard deviations away from 12.

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