Question

For typical data sets the following rules of thumb hold: 65% of data are within the...

For typical data sets the following rules of thumb hold:

65% of data are within the interval [Average - StDev, Average + StDev]
95% of data are within the interval [Average - 2*St Dev, Average + 2*StDev]

13. A recent ACT administered to a local high school yielded the following results:
Mean = 24.4 and Standard Deviation = 4.2. Which of the following is true? (5 points)

  • a. 65% of the students scored between 16 and 32.8
  • b. 95% of the students scored between 16 and 33.8
  • c. 65% of the students scored between 20.2 and 28.6
  • d. 95% of the students scored between 20.2 and 28.6
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Answer #1

Answer

Average ± StDev range is: [20.2, 28.6] and it would hold 65% of observations.

Average ± 2*StDev range is: [16, 32.8] and it would hold 95% of observations.

Comparing the above two with each of the given answer options, Option C Answer.

DONE

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