Problem 1 (4 pts)
Identify whether each of the following constitutes data collected from a population or a sample.
a. The number of pizzas ordered on Fridays during 2018 at all of the pizza parlors in your town.
b. The dollar values of auto insurance claims filed in 2016 for 200 randomly selected policies.
c. The living areas of 35 houses listed for sale on March 7, 2015 in Chicago, Illinois.
d. The total home attendance for each of the 18 teams in Major League Soccer during the 2015 season.
Problem 2 (6 pts)
The following data show the method of payment by 16 customers in a supermarket checkout line. Here, C
refers to cash, CK to check, CC to credit card, D to debit card, and O stands for other.
C CK CK C CC D O C
CK CC D CC C CK CK CC
a. (2 pts) Construct a frequency distribution table.
b. (4 pts) Calculate the relative frequencies and percentages for all categories.
Problem 3 (10 pts)
The following data give the one-way commuting times (in minutes) from home to work for a random
sample of 50 workers.
23 17 34 26 18 33 46 42 12 37
44 15 22 19 28 32 18 39 40 48
16 11 9 24 18 26 31 7 30 15
18 22 29 32 30 21 19 14 26 37
25 36 23 39 42 46 29 17 24 31
a. (2 pts) Construct a frequency distribution table using the classes 0–9, 10–19, 20–29, 30–39, and 40–49.
b. (4 pts) Calculate the relative frequency and percentage for each class.
c. (2 pts) Construct a histogram for the data.
d. (2 pts) What percentage of the workers in this sample commute for 30 minutes or more?
Due: !”#$%&’ ()+. ,- th in class or by 4:00 pm !”#” $%&’ ()“”+, -./+0.)1 2
Problem 4 (10 pts)
a) (5 pts) Calculate the mean, median, and mode of the following data.
5 −7 2 0 −9 16 10 7
b) (5 pts) The following data give the one-way commuting times (in minutes) from home to work for 12
employees working at a company.
35 10 22 38 31 27 53 44 16 44 25 12
I. Calculate the range, variance, and standard deviation for these data.
II. What does the standard deviation tell you relative to the commuting times of employees in this
company?
Problem 5 (10 pts)
Consider the following data:
36 43 28 52 41 59 47 61
24 55 63 73 32 25 35 49
31 22 61 42 58 65 98 34
a. (5 pts) Give the Five-number summary of these data.
b. (2 pts) Prepare a Box-Plot for these data.
c. (3 pts) Does this data set contain any outliers?
Justify your answer by computing upper fence and lower fence to detect outliers.