Download Unit 5 Inv 1 Answer Key v 3.0 05 11 13

Unit 5 Investigation 1 Answer Key
Activity 5.1.1
Page 1
which category hurricane has been more
likely to happen.
1a. mean = 117
1b. median = 105
1c. mode = 75, 80, 85 and 115
7.
2. The mean is larger than the median. An
acceptable justification is that there were a
few hurricanes with very high maximum
wind speeds that caused the mean to
increase.
3. Varies by student. The mode is often not
unique.
8.
4.
Name
Max
Wind
Speed
Category
Cindy
75
1
Dennis
Emily
Irene
Katrina
Maria
Nate
Ophelia
Philippe
Rita
Stan
Vince
Wilma
Beta
Epsilon
150
160
105
175
115
90
85
80
180
80
75
185
115
85
4
5
2
5
3
1
1
1
5
1
1
5
3
1
5. mean = 2.6
median = 2
mode = 1
6. Varies by student. An acceptable
response is that the mean is larger than the
median. In this case, the mode depicts
9. Varies by student
10. Varies by student
11. n = 15. Yes
12. Varies by student
13. 110
14.
Max Wind
Speeds
Bin
60 ≤ x < 80
80 ≤ x < 100
100 ≤ x < 120
75, 75
90, 85, 80, 80,
85
105, 115, 115
120 ≤ x < 140
Frequency
2
5
3
0
140 ≤ x < 160
150
1
160 ≤ x < 180
160, 175
2
180 ≤ x < 200
180, 185
2
15.
Unit 5 Investigation 1 Answer Key
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
Page 2
19. mean = 93.5
median = 90
range = 40
20.
16. A similar histogram
21.
17. Varies by student. An acceptable
response is that the histograms contain the
same data, but histograms with smaller bins
allow us to see the spread more clearly.
18.
2012 Atlantic Ocean Hurricanes
Name
Dates
6/19 –
6/22
8/1 –
Ernesto
8/10
8/15 –
Gordon
8/20
8/21 –
Isaac
9/1
8/28 –
Kirk
9/2
8/30 –
Leslie
9/11
9/3 –
Michael
9/11
9/10 –
Nadine
10/3
10/12 –
Rafael
10/17
10/22 –
Sandy
10/29
Chris
Max
Wind
(mph)
Category
75
1
22. Varies by student
85
1
Activity 5.1.2
110
2
1.
80
1
105
2
75
1
Mode = 29
115
3
Minimum = 23
90
1
Maximum = 43
90
1
110
2
Unit 5 Investigation 1 Answer Key
American League
Mean= 31.6
Median = 30
Range = 17
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
National League
Page 3
National League
Mean= 30.65
Median = 31
Mode = 26
Minimum = 23
Maximum = 39
Range = 16
2.
American League
Interval
Frequency
20 ≤ x < 24
0
24 ≤ x < 28
3
28 ≤ x < 32
10
32 ≤ x < 36
3
36 ≤ x < 40
2
40 ≤ x < 44
2
National League
Interval
Frequency
20 ≤ x < 24
1
24 ≤ x < 28
5
28 ≤ x < 32
6
32 ≤ x < 36
4
36 ≤ x < 40
4
40 ≤ x < 44
0
3. American League
4.
Mean
Median
Mode
Minimum
Maximum
Range
$3.904
$3.869
$3.894
$3.626
$4.605
$0.979
Varies by student. An acceptable response
may include the following:
XMin = 0
YMin = 0
XMax = 50
YMax = 10
XScl = 5
YScl = 1
5. It changes the bin width.
6. The National League histogram is more
mound-shaped than the American League
histogram.
7. The American League histogram is more
skewed than the National League histogram.
8. Yes, the mean is 30.65 and the median is
31.
9. Yes, the mean is 31.6 and the median is
30. Since the tail is to the right of 31.6 and
the mean is to the right of the median, then
the mean is closer to the tail than the
median.
10. Varies by student
Unit 5 Investigation 1 Answer Key
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
Activity 5.1.3
5b. Varies by student
5c. Varies by student
5d. Varies by student
1.
Mean
Median
Mode
Minimum
Maximum
Range
Page 4
430
360
250, 350, 510
250
760
510
2. Varies by student. Example:
Calories
Bin
Frequency
200 ≤ x < 300
2
300 ≤ x < 400
6
400 ≤ x < 500
1
500 ≤ x < 600
4
600 ≤ x < 700
1
700 ≤ x < 800
1
3. Varies by student based on answer found
in #2. Example:
6. Skewed right
7. Skewed right
8. Varies by student
9. Connecticut gas prices are well above the
mean, median and mode. One possible
reason for this is due to the amount of tax
Connecticut residents pay per gallon of
gasoline.
Activity 5.1.4
1. Min: 148
Q1: 152
Median: 162
Q3: 170
Max: 181
2a. 75, 75, 80, 80, 85, 85, 90, 105, 115, 115,
150, 160, 175, 180, 185
2b.
Minimum: 75
Q1: 80
Median: 105
Q3: 160
Maximum: 185
3a. 9, 11, 12, 20, 25, 28, 30, 30, 30, 32
32, 35, 39, 40, 43, 45, 48, 50, 61, 70
5a.
Mean
Median
Mode
Minimum
Maximum
Range
$3.90
$3.87
$3.89
$3.63
$4.61
$0.98
Unit 5 Investigation 1 Answer Key
3b.
Minimum: 9
Q1: 26.5
Median: 132
Q3: 44
Maximum: 70
4a. 321, 328, 330, 334, 337, 340, 340, 351,
357, 370, 373, 377, 377, 380, 402, 404, 415,
423, 431, 435, 436, 461, 533, 601, 761
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
Page 5
4b.
Minimum: 321
Q1: 340
Median: 377
Q3: 433
Maximum: 761
3b. 5.45
Activity 5.1.5
Activity 5.1.6
1a. 33; It is extremely low when compared
to the rest of the scores.
1.
1b. Varies by student
1c. Minimum: 33
Q1: 76.5
Median: 83
Q3: 90.5
Maximum: 99
1d. 24
1e. Lower fence = 40.5
Upper fence = 126.5
3c. Lower fence = -5.975
Upper fence = 15.825
3d. LeBron James, Dwyane Wade and
Chris Bosh
High
Avg.
Low
Min
63
56
43
High
Avg.
Low
Q3
78
68
57
Q1
70.75
60
50.75
Max
82
74
66
Med
75
63.5
55
IQR
7.25
8
6.25
SD
5.87
5.16
6.11
2.
1f. 33
2a. Minimum: 0
Q1: 4
Median: 7.35
Q3: 9.8
Maximum: 29.7
2b. 5.8
2c. Lower fence = -4.7
Upper fence = 18.5
2d. LeBron James
3a. Minimum: 1
Q1: 2.2
Median: 5.6
Q3: 7.65
Maximum: 26.7
Unit 5 Investigation 1 Answer Key
3a.
3b.
3c.
3d.
3e.
Plot 2
Plot 5
Plot 4
Plot 3
Plot 1
4.
Minimum: 0.9
Q1: 1.8
Median: 9.05
Q3: 14.85
Maximum: 32
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
Page 6
5j. In this case it raised the mean and
standard deviation.
6. Varies by student
7. No, this is univariate data and the
temperature is not compared to another data
set.
5a. Minimum: 30 million
Q1: 31 million
Median: 33 million
Q3: 42 million
Maximum: 110 million
Range: 80 million
IQR: 11 million
8a. Varies by student
8b. Varies by student
8c. The whisker will not extend past the
lower fence or upper fence.
8d. Varies by student
8e. If there is a bin that contains a data value
and the bin is very far from the rest of the
data.
5b. Lower fence = 14.5 million
Upper fence = 58.5 million
9. Varies by student
10. Varies by student
5c. Yes, 110 million is greater than 58.5
million
Activity 5.1.7
5d. Minimum: 30 million
Q1: 31 million
Median: 32.5 million
Q3: 41 million
Maximum: 49 million
Range: 19 million
IQR: 10 million
5e. The maximum was most affected.
5f. The minimum and Q1 were not affected.
5g. IQR; this is not affected by outliers
5h. mean ≈ 39.04 million
S.D. ≈ 15.9 million
5i. mean ≈ 36.083 million
S.D. ≈ 6 million
Unit 5 Investigation 1 Answer Key
1.
First Class
mean: 80
median: 80
mode: 80
range: 20
standard deviation: approximately 4.104
Second Class
mean: 80
median: 80
mode: 79, 80, 81
range: 40
standard deviation: approximately 9.067
Third Class
mean: 80
median: 80
mode: 66, 94
range: 40
standard deviation: approximately 12.982
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
2.
First Class
Q1: 78
Q3: 82
Page 7
5.
Second Class
Q1: 76.5
Q3: 83.5
Third Class
Q1: 66.5
Q3: 93.5
3.
First Class
IQR: 4
Second Class
IQR: 7
Third Class
IQR: 27
4.
First Class
1.5*IQR = 6
Lower fence: 72
Upper fence: 88
The outliers are the test scores 70, 90.
Second Class
1.5*IQR = 10.5
Lower fence: 66
Upper fence: 94
The outliers are the following test scores:
60, 65, 95, and 100.
Third Class
1.5*IQR = 40.5
Lower fence: 26.5
Upper fence: 134
There are no outliers.
Unit 5 Investigation 1 Answer Key
6. Varies by student based on bin width
7. Varies by student
8. The mean and median are the same for
all three sets of data.
9. The third set of data. The IQR and
standard deviation help us to see this spread.
10. Varies by student
Exit Slip 5.1.1
1.
Interval
Frequency
0≤x<5
0
5 ≤ x < 10
2
10 ≤ x < 15
1
15 ≤ x < 20
2
20 ≤ x < 25
3
25 ≤ x < 30
3
30 ≤ x < 35
2
35 ≤ x < 40
1
40 ≤ x < 45
1
Algebra I Model Curriculum Version 3.0
Unit 5 Investigation 1 Answer Key
Page 8
2.
Exit Slip 5.1.2
Min: 25
Q1: 40
Median: 57.5
Q3: 100
Max: 120
IQR: 60
Range: 95
Unit 5 Investigation 1 Answer Key
Algebra I Model Curriculum Version 3.0