Question

3.5.RA-4 The following data represent the dividend yields​ (in percent) of a random sample of 28 publicly traded stocks. Compute the​ five-number summary for the data. 0 0.42 0.3 0.95 0.2 2.89 2.68 1.56 0.16 2.83 0 0.48 3.03 0.35 2.7 3.6 0.63 0.46 2.27 3.21 0 0.4 0 0.47 2.84 2.14 0.15 2 The​ five-number summary is 0​, nothing​, nothing​, nothing​, 3.03. ​(Round to three decimal places as needed. Use ascending​ order.)

Answer 1

putting above data in ascending order:

S. no	x
1	0
2	0
3	0
4	0
5	0.15
6	0.16
7	0.2
8	0.3
9	0.35
10	0.4
11	0.42
12	0.46
13	0.47
14	0.48
15	0.63
16	0.95
17	1.56
18	2
19	2.14
20	2.27
21	2.68
22	2.7
23	2.83
24	2.84
25	2.89
26	3.03
27	3.21
28	3.6

from above minimum =0

quartile 1 =(n+1)/4 th value =(28+1)4 th value =7.25 th value =0.2+0.25*(0.3-0.2)=0.225

Quartile 2=14.5 th value =0.555

Quartile 3=21.75 th value =2.68+0.75*(2.7-2.68)=2.695

maximum =3.6

hence 5 number summary =0,0.225 ,0.555 ,2.695 ,3.6