Question

The rate of return of a Fortune 500 company over the past 15 years are: 5.20%, 4.43%, 5.93%, 5.43%, 7.29%,
8.21%, 6.23%, 5.23%, 4.34%, 6.68%, 5.14%, -5.56%, -6.23%, -5.73%, -11.64% (Year 1 to year 15 is the order.
Year 15 is last year.)
1. By referring to Data 1, calculate the 5 number summary of the above data.

Answer 1

The data in increasing order is:

-11.64 -6.23 -5.73 -5.56 4.34 4.43 5.14 5.20 5.23 5.43 5.93 6.23 6.68 7.29 8.21

The minimum is: -11.64

The maximum is: 8.21

The median is the: (15+1)/2=8th observation = 5.20

The 1st quartile (Q1) is the median of the first 7 observations= 4th observation = -5.56

The 3rd quartile (Q3) is the median of the the last 7 observations = the 12th observation = 6.23

The 5 number summary (min,Q1,median,Q3,max) is thus:

-11.64, -5.56, 5.20, 6.23, 8.21 (Ans.)

answered by: anonymous