An IQ test has a mean of 104 and a standard deviation of 10. Which is more unusu

Question

An IQ test has a mean of 104 and a standard deviation of 10. Which is more unusual, an IQ of 114 or an IQ of 89? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. An IQ of 114 is more unusual because its corresponding z-score, , is further from 0 than the corresponding z-score of for an IQ of 89. (Type integers or decimals rounded to two decimal places as needed.) B. An IQ of 89 is more unusual because its corresponding z-score, , is further from 0 than the corresponding z-score of for an IQ of 114. (Type integers or decimals rounded to two decimal places as needed.) C. Both IQs are equally likely.

Explanation / Answer

z - score for IQ 114 = (114 - 104) / 10 = 1

z - score for IQ 89 = (89 - 104) / 10 = -1.5

Hence,

B. An IQ of 89 is more unusual because its corresponding z - score, -1.5, is further from 0 then the corresponding z - score of 1 for an IQ of 114.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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