Chapter 3 Stem & Leaf, Histograms, Percentiles HW
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Chapter 3: Stem & Leaf, Histograms, Percentiles HW
Julia Dwinell
Question 1
10/10 pts
0-2
98
Question 2
10/10 pts
2
98
Question 3
10/10 pts
2
98
Here is a data set (
) that has been sorted.
42.3
44.9
47.3
50.7
52.1
52.4
52.6
52.6
53.2
53.8
54
55
56.1
56.4
56.9
57.1
57.5
57.7
57.7
57.8
57.9
58
58.1
58.2
58.3
58.3
58.4
58.7
58.8
58.8
58.9
59.2
59.4
59.8
60.1
60.3
60.9
61.5
61.6
61.6
61.8
61.8
62.2
62.4
62.5
62.5
62.9
62.9
62.9
62.9
63.2
63.3
63.4
63.5
63.6
63.8
64
64.1
64.1
64.2
64.3
64.3
64.4
64.5
64.7
64.9
65.1
65.7
66.2
66.3
66.4
66.5
66.5
66.6
66.7
66.9
67.3
67.3
67.4
67.5
67.7
68
68
68
68.2
68.9
68.9
69.2
69.5
69.5
69.7
69.8
69.9
70.3
70.4
70.4
70.4
70.6
70.7
70.8
70.9
71.1
71.6
71.7
71.9
72.3
73.4
73.6
74.3
74.8
77.3
77.8
78.1
80.2
81.8
82.1
83.7
5
10
15
20
25
30
length (cm)
40
45
50
55
60
65
70
75
80
85
Frequency
To find
P
7
, what is the value of the locator?
9
Use the locator, give the value for the 7-Percentile:
P
7
=
53.2
Find the 48th percentile from the following sorted list of 29 data
11
11.5
12.5
12.6
13.2
14.3
16
16.9
20.8
20.9
24
24.1
25.7
26.1
27.7
27.8
28.5
29.3
29.4
30.1
37.4
37.5
39.2
44.6
45.6
46.5
48.2
48.6
49.4
48th percentile =
26.1
Question 4
10/10 pts
1
99
Question 5
10/10 pts
2
99
Question 6
10/10 pts
2
99
Question 7
10/10 pts
2
99
Here is a data set (
) that has been sorted.
1
2
3
4
5
6
7
8
9
10
48.2
49.7
52.8
55.1
55.3
56.5
58.8
59.2
59.3
59.6
10+
60.3
60.7
61.3
61.7
61.8
62.1
62.1
62.2
62.2
62.5
20+
62.6
63.2
63.4
63.5
63.7
63.7
63.7
63.9
64.2
64.7
30+
64.7
64.9
65
65
65.2
65.5
65.8
66
66.3
67
40+
67.2
67.4
67.7
67.8
68.1
68.2
68.5
68.6
68.8
68.9
50+
68.9
69
69
69.2
69.3
69.9
70
70.3
70.8
70.8
60+
70.8
70.9
71.1
71.2
71.7
71.8
72.1
72.5
72.6
72.9
70+
73.5
73.6
73.8
73.9
74.1
74.2
74.7
75
75.5
75.7
80+
75.7
75.7
76
77.3
77.4
77.8
78.1
78.7
78.8
79.2
90+
79.7
80
80.4
80.7
81.1
82.7
85
85.3
85.4
85.5
100+
87.1
5
10
15
20
length (cm)
45
50
55
60
65
70
75
80
85
90
Frequency
To find the 48th percentile,
, we will identify the value at location
49
from the sorted list
above.
The value for
is
68.8
Here is a data set (
) that has been sorted.
7.7
12.7
13.5
15
16
16.4
18.7
18.7
19.4
19.5
19.6
20.3
20.6
20.7
21
21.7
22
22
22.1
22.1
22.1
22.3
22.3
22.7
23.1
23.2
23.2
23.4
23.4
23.7
24.1
To find
P
4
, what is the value of the locator (L)?
5
Use the locator, give the value for the 4-Percentile:
P
4
=
16
56.1
58
58.6
59
60.2
60.5
61.8
62.2
64.3
64.4
64.4
64.6
64.7
65
65.3
65.6
66.2
66.2
66.3
66.7
66.7
67
67
67.5
68.1
68.2
68.7
69.2
69.5
69.9
70.1
64.4
Here is a data set (
) that has been sorted.
To find
P
49
, what is the value of the locator (L)?
58
Use the locator, give the value for the 49-Percentile:
P
49
=
74.9
Here is a data set (
) that has been sorted.
35
35.5
36.9
37.9
38.3
39.7
39.9
40.1
41.1
41.1
41.2
42.4
43
43.2
44.7
44.7
44.9
45.1
45.5
45.7
45.8
46.4
46.8
46.9
47.1
47.3
47.3
47.8
48
48
48
To find
P
75
, what is the value of the locator (L)?
88
Use the locator, give the value for the 75-Percentile:
P
75
=
58.4
Here is a data set (
) that has been sorted.
30.7
36.9
37.4
39.7
41.1
41.7
42.6
42.8
43.1
44.2
44.8
45.1
45.2
45.4
45.5
46.2
46.4
46.6
Question 8
10/10 pts
2
98
Question 9
10/10 pts
1
99
Question 10
10/10 pts
2
99
46.9
47.1
47.2
47.2
47.2
47.4
47.5
47.8
48.2
48.2
48.3
48.4
48.5
49
49.8
50.2
50.4
50.6
50.7
50.9
51
51.4
51.5
51.6
52.4
52.6
52.8
52.9
53.2
53.2
53.6
53.6
53.7
53.8
54
54.1
54.4
54.7
54.8
55.5
55.6
55.6
55.7
55.8
55.9
56
56.3
56.3
56.8
56.9
57.2
57.3
57.4
57.7
57.8
58.2
58.4
58.4
58.5
58.8
58.9
58.9
59.3
59.4
59.5
59.5
59.7
59.7
60.3
60.4
60.4
60.5
60.5
60.7
60.9
60.9
61
61.1
61.5
62.7
62.9
64
64.1
64.8
64.9
65.1
65.5
65.9
66.4
66.8
66.8
67.1
67.6
68.7
69.6
70.4
72.6
73.5
78.2
To find
P
76
, what is the value of the locator (L)?
89
Use the locator, give the value for the 76-Percentile:
P
76
=
60.4 60.4
Here is a data set (
) that has been sorted.
15.1
16.4
18.4
18.4
20.1
20.3
21.7
21.8
22.1
22.6
23
23
23.3
24.1
24.5
24.7
24.8
25.3
26.2
26.5
27.2
27.2
27.3
28
28.2
28.4
28.4
28.6
29.2
29.5
30
30.1
30.1
30.5
30.6
30.8
30.9
31.2
31.3
31.4
31.5
31.5
31.5
31.6
31.8
32
32
32
32.1
32.1
32.2
32.2
32.3
32.3
32.5
32.6
33.1
33.5
34.1
34.3
34.3
34.4
34.6
34.7
34.7
34.8
35
35
35.1
35.2
35.3
35.6
35.7
35.8
36.2
36.2
36.4
36.7
36.7
36.8
36.9
38.4
38.6
38.9
39.3
39.6
39.9
40
40.1
40.2
40.6
40.8
41
41.5
41.5
41.7
41.8
41.8
42
42.2
42.8
43.3
43.5
43.6
44.1
44.7
44.8
45.1
45.2
45.5
45.6
45.8
46.9
47.2
47.9
48.3
54.9
5
10
15
20
25
30
35
length (cm)
15
20
25
30
35
40
45
50
55
Frequency
To find
P
39
, what is the value of the locator?
46
Use the locator, give the value for the 39-Percentile:
P
39
=
32
Here is a data set that has been sorted.
43.2
43.2
43.7
45.2
45.9
46.3
46.7
47.7
48.4
48.6
48.7
49
49.5
49.9
50.1
50.8
51
51
51
51.9
52.5
52.9
53
53
53.2
53.5
53.5
53.5
54.1
55
55.3
55.4
55.7
55.7
55.8
55.9
56.2
56.2
56.4
56.5
57.5
57.5
57.8
58.4
58.6
58.8
58.8
59
59.3
59.3
59.7
59.8
60.3
60.4
60.5
60.8
60.9
61
61.1
61.3
61.3
61.4
61.5
61.5
61.6
61.6
61.8
61.9
62.2
62.3
62.4
62.4
62.5
62.5
62.6
62.8
62.9
63.2
63.8
64.1
64.2
64.3
65.1
65.1
65.2
65.8
66.6
66.7
67.4
68.4
68.4
68.4
68.9
69.1
69.4
69.4
69.7
69.7
69.7
69.9
70.1
70.2
70.5
70.8
71.4
72.5
72.6
72.7
72.8
72.8
73.6
74.6
74.7
74.7
74.9
76.7
77.2
Find
P
18
52.9
Question 11
10/10 pts
2
99
Question 12
10/10 pts
2
99
Question 13
10/10 pts
2
99
Question 14
10/10 pts
2
99
Here is a data set (
) that has been sorted.
22.4
24.8
25.4
25.5
26.6
26.8
28.6
29.3
29.6
29.7
30.1
30.6
30.8
31
31.1
31.3
31.5
32.2
32.2
32.6
32.9
33.3
33.4
33.5
33.5
33.7
34.2
34.4
34.5
34.5
34.9
35.3
35.4
35.6
35.9
36
36
36
36.1
36.8
36.9
37
37.3
37.3
37.7
37.8
38.2
38.4
38.4
38.5
38.6
38.6
39
39.1
39.2
39.2
39.5
39.5
39.8
39.9
40.1
40.2
40.4
40.5
40.7
41
41.6
42.3
42.5
42.6
42.7
42.7
42.9
42.9
42.9
42.9
43.2
43.2
43.3
43.5
43.5
43.9
44.3
44.3
44.7
44.8
44.8
45.4
45.4
45.6
45.6
45.9
45.9
46.1
46.1
47.3
47.6
47.8
48
48.1
48.2
48.2
49
49.5
49.6
50.2
50.4
50.5
51.8
51.9
52.3
53.3
53.5
54.9
56.7
61.1
61.6
5
10
15
20
25
length (cm)
20
25
30
35
40
45
50
55
60
65
Frequency
To find
P
37
, what is the value of the locator?
44
Use the locator, give the value for the 37-Percentile:
P
37
=
37.3
Find P
67
from the following data
7
8
17
23
27
32
39
41
51
53
55
57
64
65
66
73
80
81
82
90
91
97
98
99
P
67
=
80
Find P
35
from the following data
3
9
15
21
32
40
41
42
44
45
46
48
52
59
61
66
67
75
77
81
84
86
89
96
97
98
99
P
35
=
45
Find P
85
from the following data
1
6
7
8
9
11
13
16
19
25
28
31
38
44
45
47
52
58
59
60
64
70
78
85
95
P
85
=
70
Question 15
10/10 pts
2
99
Question 16
10/10 pts
0-2
98
Question 17
10/10 pts
2
99
Find P
27
from the following data
1
7
9
10
11
14
16
17
18
19
20
21
22
29
30
31
42
45
47
49
50
52
53
55
58
61
62
65
73
77
79
81
85
86
88
89
91
94
97
100
P
27
=
20
The results of a common standardized test used in psychology research is designed so that the population
mean is 155 and the standard deviation is 20. A subject earns a score of 217. What is the
z
-score for this
raw score?
z
-score =
3.1
Question Help:
Video
Here is a sample data set that appears to be nearly normal (as suggested by the histogram).
54.6
52.4
48.2
56.0
68.3
51.0
55.6
57.8
47.6
69.8
51.0
72.4
53.0
58.0
70.7
56.0
63.1
63.7
51.4
48.8
69.4
56.6
67.3
64.9
62.0
73.2
60.8
58.0
66.7
55.1
63.1
70.3
49.3
73.2
59.0
75.5
59.8
68.8
53.9
45.4
61.6
66.5
60.4
74.0
67.0
56.0
68.3
72.4
68.3
54.6
43.0
46.8
55.3
59.2
2
4
6
8
10
12
length (cm)
40
45
50
55
60
65
70
75
80
Frequency
What is the mean of this data set? (Report answer using the rules suggested in class: 1 more d.p. than the
data.)
60.28
What is the standard deviation of this data set? (Report answer using the rules suggested in class: 2 more
d.p. than the data.)
8.4874
What is the maximum of this data set?
maximum =
75.5
What is the
z
-score of the maximum in this data set? (Report answer accurate to
3 decimal places
with
appropriate rounding. ALSO REMEMBER it is best to use the unrounded
and
for this calculation, not
the values reported above.)
z
-score =
1.7934
Is the maximum an outlier in this data set?
yes, this point is an outlier
no, this point is not an outlier
Your preview ends here
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Question 18
10/10 pts
2
99
Question 19
10/10 pts
2
98
The widths of platinum samples manufactured at a factory are normally distributed, with a mean of 1 cm
and a standard deviation of 0.2 cm. Find the z-scores that correspond to each of the following widths.
Round your answers to the nearest hundredth, if necessary.
(a) 1.9 cm
z =
4.5
(b) 0.8 cm
z =
-1
Question Help:
Video
The average resting heart rate of a population is 85 beats per minute, with a standard deviation of 14 bpm.
Find the z-scores that correspond to each of the following heart rates. Round your answers to the nearest
hundredth, if necessary.
(a) 119 bpm
z =
2.43
(b) 80 bpm
z =
-0.36
Question Help:
Video
A set of data items is normally distributed with a mean of 115 and a standard deviation of 26. Convert each
of the following data items to a z-score. Round your answer to the nearest hundredth.
(a) 217
z =
3.92
(b) 47
z =
-2.62
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