SOCI 250 Healey 3 (Chapter 4) 1. A college polled their 2010 graduates recently

Question

SOCI 250 Healey 3 (Chapter 4)

1. A college polled their 2010 graduates recently to find out their incomes after graduating from their programs. Below are the results of the poll.
Incomes of Recent College Graduates (in $)
14000

14500

15500

16000

16350

19500

20900

21000

22900

23000

24500

25000

25000

28760

29500

29650

32000

34450

35450

39800

a. Identify and write down the formula for calculating the interquartile range (Q).
b. Calculate the interquartile range.
c. Write your results regarding the interquartile range (Q) in a sentence.
d. Identify and write down the formula for calculating the range (R).
e. Calculate the range (R).
f. Write your results regarding the range (R) in a sentence.

Explanation / Answer

a) IQR= Q3-Q1

b) Q1= (n+1)/4 th observation= 5.25 th observation= 16350+0.25(19500-16350)=17137.5

Q3= 3*(n+1)/4 th observation= 15.75th observation= 29500+0.75(29650-29500)=29612.5

IQR= 29612.5-17137.5 = 12475

c) IQR range which covers 50% middle area of the box plot. 25% from both sides of the median.

d) Range= Max-Min = 39800-14000= 25800

e) A range i is a set of data difference between the maximum and minimum value.

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