The following data represent the dividend yields (in percent) of a random sample

Question

The following data represent the dividend yields (in percent) of a random sample of 28 publicly traded stocks. Complete parts (a) to (0). (a) Compute the five-number summary. The five-number summary is (Round to two decimal places as needed. Use ascending order.) (b) Draw a boxplot of the data. (c) Determine the shape of the distribution from the boxplot. A. The distribution is skewed to the left. B. The distribution is roughly symmetric. C. The distribution is skewed to the right. D. The shape of the distribution cannot be determined from the boxplot.

Explanation / Answer

putting above data in ascending order:

here minimum =0

quartile 1 : Q1 =(n+1)/4 th value =(28+1)/4 th value =7.25 th value =0.13+0.25*(0.23-0.13)= 0.155

median=(n+1)/2 th value =14.5 th value =(0.77+1.19)/2 =0.98

quartile 3=Q3=3*(n+1)/4 th value =21.75 th value =2.75+0.75*(2.83-2.75)=2.81

maximum =3.42

hence 5 number summary =0 , 0.155, 0.98, 2.81, 3.42

b)

option A is correct

c)

distribution is skewed to the righ. option C is correct

X 0 0 0 0 0.01 0.07 0.13 0.23 0.34 0.39 0.45 0.64 0.72 0.77 1.19 1.51 2.43 2.54 2.66 2.67 2.75 2.83 2.94 2.96 2.96 2.98 3.2 3.42

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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