Download Math 1307 Review for Test #1 Unit I: Exploring Data: Distributions

Math 1307
Review for Test #1
Chapter 5: Exploring Data: Distributions
1. Given the following data set: 27, 43, 43, 45, 52
Find each of the following:
a. Mean
b. Median
c. Mode
d. Spread
e. Range
f. Standard Deviation
2. Given the following data set:
26
26
26
26
27
28
30
32
32
35
35
36
40
44
46
46
46
47
47
47
49
49
50
52
54
56
58
58
62
66
Find each of the following:
a. Construct a frequency distribution: let the first class interval be 26 – 30; 2nd class be 31 – 35, etc.
b. Construct a stemplot of this data.
c. Describe the shape of this distribution.
d. Use the grouped data from the histogram to calculate each of the following:
i. mean
ii. mode
iii. standard deviation
3. Use the histogram shown below to answer each of the following questions.
Televisions per Home
8
8
#
6
6
# homes
4
4
4
2
3
2
1
0
0
1
2
3
# televisions
4
5
6
a. How many homes were included in the survey?
b. In how many homes were four televisions observed?
c. Name the mode.
d. How many televisions were included in the survey?
4. Use the following data on weekly salaries at Donovan’s Construction Company to answer each of the
following questions.
Mean:
$740
First quartile: $690
Median:
$710
Third quartile: $745
Mode:
$735
Standard Deviation: $40
a. What is the most common salary
b. What salary did half of the employees exceed?
c. About what percent of employees salaries exceeded $690?
d. About what percent of employees salaries was less than $780
e. If the company has 100 employees, what is the total weekly salary of all employees?
5. The weight of potato chip bags filled by a machine at a packaging plant is normally distributed with a
mean of 15.0 ounces and a standard deviation of 0.2 ounces.
a. What range of ounces contains 68% of all of the bags of potato chips from this manufacturer?
b. Find the percentage of bags that will weigh less than 14.6 ounces.
c. Find the percentage of bags that will weigh more than 15.6 ounces.