math 2
BUSA 2183 Introduction to Business Statistics
Summer 2019 –Session II
Short Exercise 4 (20 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.
|
5.24 |
6.02 |
6.67 |
7.30 |
7.59 |
7.99 |
8.03 |
8.35 |
8.81 |
9.45 |
|
9.61 |
10.37 |
10.39 |
11.86 |
12.22 |
12.71 |
13.07 |
13.59 |
13.89 |
15.42 |
a. Median =
b. Q1 =
c. Q3 =
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.
b. Estimate the first and third quartiles.
c. Determine the interquartile range.
d. Beyond what point is a value considered an outlier?
e. Identify any outliers and estimate their values.
Question 3 (Short Exercise 14 in the book) (2.5*2=5 points)
Listed below are the salaries, in $000, for a sample of 15 chief financial officers in the electronics industry.
|
$516.0 |
$548.0 |
$566.0 |
$534.0 |
$586.0 |
$529.0 |
|
546.0 |
523.0 |
538.0 |
523.0 |
551.0 |
552.0 |
|
486.0 |
558.0 |
574.0 |
|
|
|
a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson’s method.
Question 4 (Short Exercise 17 in the book) (2*2=4 points)
a. Develop a scatter diagram for the following sample data.
b. How would you describe the relationship between the values?
|
x-Value |
y-Value |
|
10 |
6 |
|
8 |
2 |
|
9 |
6 |
|
11 |
5 |
|
13 |
7 |
|
x-Value |
y-Value |
|
11 |
6 |
|
10 |
5 |
|
7 |
2 |
|
7 |
3 |
|
11 |
7 |