A company has recently given some pay raises. The distribution of the amounts by

Question

A company has recently given some pay raises. The distribution of the amounts by which the employees' salaries have been increased is illustrated by the boxplot below. Which of the following best describes the shape of the distribution and the interquartile range (IQR) of the salary increases? (A) symmetrical; IOR is approximately $700 (B) skewed to the right; IQR is approximately $700 (C) skewed to the left; IOR is approximately $700 (D) skewed to the right; IOR is approximately $2000 (E) skewed to the left: IQR is approximately $2000

Explanation / Answer

Answer is D

Shape of the distribution is skewed to the right as median is closer to the first quartile and it is clearly evident in the picture that the tail of the distribution is longer towards the third quartile.so the shape of distribution will be skewed to the right.

Interquartile range is basically equal to width of the box which is Q3-Q1or third quartile minus first quartile which is 2.5 - 0.5 = 2 thousand dollars in this case so the correct answer is D part ,skewed to the right and IQR= 2000 $

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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