ALGEBRA 1

1
ALGEBRA 1 EOC REVIEW 6 STATS
2
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
a) Create a stem-leaf.
Stem leaf
2 9
3 1
6 7 7 9
7 0 1 2 5 7 8
8 0 3 5 7
9 0 0 1 1 3
3
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
b) Create a histogram.
4
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
c) What is the mean, mode, and median?
Mean 74.8
Mode 67, 90, 91
Median 77.5
5
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
d) Create a box-plot.
29
93
69.5
77.2
88.5
6
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
e) What is the interquartile range?
Q3 Q1 88.5 69.5 19
f) What is the standard deviation?
Standard Deviaion 17.17
7
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
g) Suppose that a 21st score of 5 is added.
Which will likely change the most mean, mode, or
median?
mean
Will the standard deviation increase or decrease?
increase
8
1)
The following represents the Algebra test scores
of 20 students 29, 31, 67, 67, 69, 70, 71, 72,
75, 77, 78, 80, 83, 85, 87, 90, 90, 91, 91, 93.
h) Describe the shape, center, and spread of
this data.
negatively skewed
9
2)
Describe the shape of the following
distributions. Use words like skewed to the left
(less numbers on the left), skewed to the right
(less numbers to the right), uniform, unimodel
(one mode tower), bimodal (two mode towers), gap,
outlier, symmetric, and bell shaped.
A
skewed right
A ____________ _______________
B
skewed left
B ____________ _______________
10
2)
Describe the shape of the following
distributions. Use words like skewed to the left
(less numbers on the left), skewed to the right
(less numbers to the right), uniform, unimodel
(one mode tower), bimodal (two mode towers), gap,
outlier, symmetric, and bell shaped.
C
gap
11
2)
Describe the shape of the following
distributions. Use words like skewed to the left
(less numbers on the left), skewed to the right
(less numbers to the right), uniform, unimodel
(one mode tower), bimodal (two mode towers), gap,
outlier, symmetric, and bell shaped.
D
bell
12
3)
Use the following box-plot to answer the
questions
95
145
140
150
160
170
130
80
90
100
110
120
a) What is the interquartile range?
145 95 50
b) What is the maximum?
about 162
c) What is the minimum?
80
13
3)
Use the following box-plot to answer the
questions
140
150
160
170
130
80
90
100
110
120
d) Draw a histogram that best models this
box-plot.
14
4)
A set of data has a mean of 56.7 and a standard
deviation of 2.5. What would the new mean and
new standard deviation be if each set of data is
increased by 5?
New mean 61.7
Standard Deviation 2.5
15
5)
The following data shows the ages of teachers
23, 25, 25, 27, 29, 30, 31, 32, 33, 34, 36, 37,
40, 41, 42, 43, 55
a) What measure of spread is more appropriate
for this data (mean, mode, median, or standard
deviation)?
mean
b) Are there any outliers? Explain.
Q3 Q1 40.5 28 12.5 IQR
28 18.75 9.25
1.5(12.5) 18.75
40.5 18.75 59.25
Since none of the data is less than 9.25 nor
greater than 59.25, there are NO outliers.
c) Describe the shape of this data.
skewed right (positive)
16
6)
A teacher interviewed 200 students and found the
following results
Male Female
Sophomore .2 .1
Junior .1 .25
Senior .25 .1
40
20
20
50
50
20
a) How many senior males did the teacher
interview?
50
b) If the student was a sophomore, what gender
was the student more likely to be?
male
c) How many more female juniors were there than
male juniors?
30
17
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
a) Create a stem-leaf.
Stem leaf
5 5 9
6 0 1 5 5 5
7 0 2 3 4 6 7 8
8 2 8
9 3 4 5
18
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
b) Create a histogram.
19
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
c) What is the mean, mode, and median?
Mean 73.79
Mode 65
Median 73
20
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
d) Create a box-plot.
55
95
65
73
82
21
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
e) What is the interquartile range?
IQR 82 65 17
f) What is the standard deviation?
12.3 or 11.9
22
7)
The following are test scores of a Biology test
55, 59, 60, 61, 65, 65, 65, 70, 72, 73, 74, 76,
77, 78, 82, 88, 93, 94, 95.
g) Suppose that a 21st score of 5 is added.
Which will likely change the most mean, mode, or
median?
mean
Will the standard deviation increase or decrease?
increase
23
Use the following box-plot to answer the
questions
8)
12
16
10
16
20
22
24
26
14
12
18
a) What is the interquartile range?
IQR 16 12 4
b) What is the maximum and minimum?
Maximum 26
Minimum 10
24
A set of data has a mean of 44.7 and a standard
deviation of 1.3. What would the new mean and
new standard deviation be if each of the data is
decreased by 3?
9)
New mean 41.7
Standard Deviation 1.3
25
The following data shows household income
23500, 26000, 28000, 29000, 32500, 36500, 38500,
42200, 55000, 58500, 62000, 67000, 112200.
10)
a) What measure of spread is more appropriate
for this data (mean, mode, median, or standard
deviation)?
median
b) Are there any outliers? Explain.
Q3 Q1 60250 28500 31750 IQR
1.5(31750) 47625
60250 31750 107875
112200 is an outlier.
c) Describe the shape of this data.
skewed right
d) Suppose that a millionaire is added to the
data set, which measure of spread will increase
the most?
mean
26
400 people were surveyed. Each person was asked
whether he or she prefers Drama or Comedy movies.
The results are shown in the relative frequency
table below
11)
Age Drama Comedy Total
21-30 .25 .30 .55
31-40 .15 .06 .21
41 .20 .04 .24
Total .6 .4 1
220
100
120
60
84
24
16
80
96
240
160
a) How many more people prefer drama than comedy?
240 160 80
b) How many more 21-30 year olds prefer comedy
than drama?
120 100 20
240
c) How many total people prefer drama?
27
Match the following histogram (E-H) to the
correct box-plot (A-D)
12)
A
E
G
B
H
C
F
E
D
F
H
G
28
The following shows the population of various
towns (in thousands)?
13)
City East North South West Center Wayout Salem
Population (thousands) 30 40 56 48 51 53 64
Suppose that Winstonville with a population of
26,000 is added to the data set. Which of the
following is true?
A) The mean increases.
B) The range remains the same.
C) The standard deviation increases.
D) The interquartile range increases.
29
A chair lift can hold a maximum of 40000 pounds
and 200 people. A safety inspector is
determining if the chair lift is safe or not.
Which measure of central tendency of peoples
weight would be the most useful to determine if
the chair lift is safe?
14)
A) Mean
B) Median
C) Mode
D) Standard Deviation
30
The number of points scored by a football team in
the first eight games of the season are 10, 14,
17, 20, 35, 35, 38, 42. What would happen to
the data distribution if the team scored 27, 27,
and 28 in the next three games.
15)
A) The standard deviation would increase.
B) The data distribution would become more
peaked and more widely spread.
C) The data distribution would become less
peaked and less widely spread.

• The data distribution would become more peaked
• and less widely spread.

31
Which of the following is most likely to have the
highest standard deviation? To have the lowest
interquartile range?
16)
A) The average age of 100 people surveyed at the
mall.
highest standard deviation
B) The average age of 100 people living in a
retirement center.
C) The weight of 100 new-born babies.
D) The amount of TVs that 100 households have.
lowest interquartile range
32
Which of the following statements is true?
17)
A) A data set with high standard deviation means
that there is low variability.
B) A data set with low standard deviation means
that the data set is spread out.
C) As the amount of data increases, the standard
deviation usually increases.
D) A data set with many outliers will have a
high standard deviation.
33
Which of the following data sets has the highest
interquartile range? Lowest standard deviation?
18)
A) Integers from 1-20
B) Even integers from 2-40
C) The prime numbers from 1-100
highest interquartile range
D) List of ages of 20 different teenagers
lowest standard deviation
34
The math club has 50 members. Each member was
asked if he preferred Algebra or Geometry. The
results are shown in the relative frequency table
19)
Geometry Algebra Total
Underclassmen .36 .28 .64
Upperclassmen .04 .32 .36
Total .4 .6 1.00
14
32
18
16
2
18
30
50
20
Which is true?
A) Eight more underclassmen prefer Geometry than
Algebra.
B) Thirty-six students are upperclassmen.
C) Fourteen more upperclassmen prefer Algebra
than Geometry.
D) 32 of the students preferred Algebra.