math 2

BUSA 2183 Introduction to Business Statistics

Summer 2019 –Session II

Short Exercise 4 (25 points)

IMPORTANT: In any question, if there is a calculation, first provide the formula and then show your calculations for your answers.

Please, provide your answers under each question.

Data files can be found in the D2L.

Question 1 (Short Exercise 6 in the book) (2*3=6 points)

Determine the median and the first and third quartiles in the following data.

a. Median = ?

Median = 9.53, found by (9.45 + 9.61)/2

b. Q1 = ?

Q1 = 7.69 found by 7.59 + (7.99 – 7.59) ¼

c. Q3 = ?

Q3 = 12.59 found by 12.22 + (12.71 – 12.22)3/4

Question 2 (Short Exercise 10 in the book) (2*5=10 points)

The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges.

a. Estimate the median.

450

b. Estimate the first and third quartiles.

Q1 = 300 Q3 = 750

c. Determine the interquartile range.

450, found by 750 – 300

d. Beyond what point is a value considered an outlier?

Less than 150 or more than 1200

e. Identify any outliers and estimate their values.

One outlier at about 1500

Question 3 (Short Exercise 14 in the book) (2.5*2=5 points)