Below are the range and standard deviation for a set of data. Use the range rule

Question

Below are the range and standard deviation for a set of data. Use the range rule of thumb and compare it to the standard deviation listed below. Does the range rule of thumb produce an acceptable approximation? Suppose a researcher deems the approximation as acceptable if it has an error less than 15%. Range = 40 Standard Deviation = 10.911 The estimated standard deviation is. Is this an acceptable approximation? A. No, because the of the range rule of thumb's approximation is greater than 15%. B. No, because the error of the range rule of thumb's approximation is less than 15%. C. Yes, because the error of the range rule of thumb's approximation is less than 15%. D. Yes, because the error of the range rule of thumb's approximation is greater than 15%.

Explanation / Answer

from thumb rule estimated std deviation is =range/4 =40/4 =10

therefore error of the range =(10.911-10)*100/10 =9.11%

hence option C is correct

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.