Chapter 8 and Chapter 9 Section 1 and 2 Test
Name: _____________________________
Date: _________________________
Type your name and date at the top of this document. Copy the Step-by-step Template for Assignments at the
bottom of the document. Show all your work in the Your Solution column. Place your Final Answer in the final
answer column. Remember to use the equation editor to create any special mathematical symbols. Use Microsoft
Excel to create charts and graphs.
1.
On a math test, the scores of 25 students were as follows:
92
72
79
62
79
79
92
86
79
68
87
72
87
79
72
87
79
72
86
72
87
86
62
94
Construct a frequency table. Group the data into four equal intervals starting with the interval 60-69.
72
2.
Twenty-four workers were asked how long it takes them to travel to work each day. The times (in minutes) are
given below.
20
35
42
52
65
20
60
49
24
37
23
24
22
20
41
25
28
27
50
47
58
30
32
48
Use the given data to construct a stem-and-leaf plot.
3.
A medical researcher recorded the ages of patients who had strokes caused by stress. The ages of 34 patients
are summarized in the frequency table below.
Age
Frequency
25 - 29
3
30 - 34
3
35 - 39
6
40 - 44
4
45 - 49
5
50 - 54
4
55 - 59
5
60 - 64
5
Construct a histogram for the data.
4.
A questionnaire was sent to customers asking about their music preferences. The customers were asked to pick
the type of music they preferred from the categories rock, classical, gospel, country & western, and jazz. The
results are shown in the table.
Type of Music
Frequency
Rock
600
Classical
300
Gospel
150
Country & Western
300
Jazz
150
Construct a circle graph for the given data.
5.
Use the graph to determine how many hours were needed to prepare for Test 2.
Test Preparation Time
6
Hours
5
4
3
2
1
0
Test 1
Test 2
Test 3
Test 4
6.
7.
8.
9.
The test scores of 20 students are shown below:
65
76
82
77
67
92
63
79
71
50
91
85
77
85
Find the mean. Round your answer to the nearest tenth.
85
79
Find the median for the given sample data.
18
5
8
9
15
18
8
18
Find the mode of these test results:
24.7
2
5
6.3
18
24.7
5
2
Find the range of the data set.
15
17
14
35
16
26
97
18
89
89
24.7
24.7
10.
Find the variance for the given data. Round your answer to one more decimal place than the original data.
13
1
17
11
14
11.
Find the standard deviation for the given data. Round your answer to one more decimal place than the original
data.
2
5
47
11
13
48
39
36
12.
The following scores on the midterm exam in Chemistry 102 were recorded:
93
81
59
69
82
73
61
77
95
86
97
63
72
89
80
60
98
91
76
81
94
66
83
96
Find the interquartile range (IQR).
84
62
88
78
71
83
13.
A box contains 10 red cards numbered 1 through 10. List the sample space of picking one card from the box.
14.
Consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the
probability of a red 7 is drawn.
15.
The table shows the number of college students who prefer a given pizza topping.
Toppings Freshman Sophomore Junior Senior
Cheese
13
13
22
20
Meat
24
20
13
13
Veggie
13
13
24
20
If a student is selected at random, what is the probability that he or she prefers meat toppings?
16.
Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.480. Find
the probability that in a given year it will not snow on January 1st in that town.
17.
Each letter of the alphabet is written on a separate piece of paper and placed in a box. Find the probability of
drawing a vowel (a, e, i, o, u) or a letter in the word “segments”.
18.
A restaurant offers salads with 8 different types of dressings and 4 different toppings. How many different types of
salads are available?
19.
Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that
the second card is a spade if the first card was not a spade?
20.
A bag contains 7 red chips and 10 blue chips. Two chips are selected randomly without replacement from the
bag. What is the probability that both chips are red?
Hello Class,
Use this template to submit your work. Copy and paste this template into a Microsoft Word document to submit your stepby-step solutions. Put the answer to the problem in the far right hand column which is marked Final Answer
Probl
em
1
2
3
Your Solution
Count the values from 60-69, 70-79, 8089, and 90-99. Then put the counts into a
table.
First, sort the data into groups by 10’s:
20 20 20 22 23 24 24 25 27 28
30 32 35 37
41 42 47 48 49
50 52 58
60 65
Then put this into stem and leaf format.
Using Excel
Final Answer
Interval
60-69
70-79
80-89
90-99
Frequency
3
12
7
3
2|000234457
3|0257
4|12789
5|028
6|05
7
6
Frequency
Sect
ion
5
4
3
2
1
0
25 - 29 30 - 34 35 - 39 40 - 44 45 - 49 50 - 54 55 - 59 60 - 64
Age
4
Using Excel
Type of Music
Rock
150
300
Classical
600
Gospel
Country & Western
150
Jazz
300
5
6
7
8
Read off the y axis value at the point for
Test 2.
Mean = sum/count
=
(65+76+82+77+67+92+63+85+97+89+79+
71+50+91+85+77+85+79+18+89)/20
= 75.85 (round this for the final answer)
Sort the data:
5 8 8 9 15 18 18 18
Take the average of the middle two
numbers:
(9+15)/2 = 24/2 = 12
The mode is the most common number in
3 hours
75.9
12
24.7
9
10
11
12
the set.
Range = highest – lowest
= 35-14 = 21
First, get the mean:
(13+1+17+11+14)/5 = 11.2
Now add up the square deviations from the
mean:
(13-11.2)^2 + (1-11.2)^2 + (17-11.2)^2 +
(11-11.2)^2 + (14-11.2)^2
= 148.8
Divide by the count of 5:
148.8/5 = 29.76 which rounds to the final
answer
First, get the mean:
(2+5+47+11+13+48+39+36)/8 = 25.125
Now add up the square deviations from the
mean:
(2-25.125)^2 + (5-25.125)^2 +(4725.125)^2 +(11-25.125)^2 +(13-25.125)^2
+(48-25.125)^2 +(39-25.125)^2 +(3625.125)^2
= 2598.875
Divide by the count of 8:
2598.875/8 = 324.859375
Take the square root:
Sqrt(324.859375) = about 18.02
Sort them:
59 60 61 62 63 66 69 71 72 73 76 77 78 80
81 81 82 83 83 84 86 88 89 91 93 94 95 96
97 98
21
29.8
18.0
18
Get Q1, which is the median of the first half
of numbers, the 8th number: 71
Get Q3, which is the median of the second
half of numbers, the 8th number from the
end: 89
Subtract: 89-71 = 18
13
14
15
16
You could pick any of the numbers from
one through ten.
There are two red 7’s in the deck
(hearts/diamonds) out of 52 cards:
2/52 = 1/26
Prob = meattotal / overalltotal
=
(24+20+13+13)/(13+13+22+20+24+20+13+
13+13+13+24+20)
= 70/208
= 35/104
Prob(not snow) = 1- prob(snow)
= 1 - 0.480
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
1/26
35/104
0.520
= 0.52
17
18
There are 26 total letters.
The valid letters are:
a, e, i, o, u, s, g, m, n, t
There are 10 of those.
10/26 = 5/13
We have to assume that you can only get
1 dressing and 1 topping...
Using the multiplication rule:
5/13
32
19
20
8 * 4 = 32
If the first card was not a spade, there are
still 13 spades left, but only 51 cards to
draw from:
13/51
There are 17 chips in the bag. On the first
draw:
7/17
Now there are 16 chips left, and only 6 are
red:
6/16
Multiply:
7/17 * 6/16
= 7/17 * 3/8
= 21/136
13/51
21/136