Learning Goal: Compare distributions from two or more groups. Specific Learning Objective: Create and interpret boxplots to compare distributions. 1) The data graphed here is 8 years of data from six colleges. The variable is the percent of freshmen that graduate on-time. A C E F 40 45 50 55 60 65 70 75 80 85 90 Percent that Graduate Ontime Q1 Q2 College Min Q3 Маx n A 8 43.2 50.5 63.75 71.1 73.8 B 8 67.3 69.5 70.15 73.5 76.7 8 54.5 56.25 67.6572.15 74.8 D 8 74.1 76 79 82.1 84.6 E 8 54.5 56.25 59.15 64.8 71.3 F 8 57.5 63.7 72 82.85 87.4 a) Which college had the highest on-time graduation rate during the years of this study? How do you know? b) On average, which college had the highest on-time graduation rate? How do you know? This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY. c) Now let's consider the variability in the data. Which college had the most consistent on- time graduation rates overall? Write a sentence precisely describing the variability for this college. (Use the 5-number summaries in the table.) d) Which college had the smallest amount of variability relative to its median? In other words, which college has the least amount of variability in the midd' Write a sentence precisely describing the variability for this collec summaries in the table.) its data? numbe College

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I need help base on the chart of the first page, help for the questions C and D.

8:08 * y
* N all 89%Ï
E 6.3 – Modul...447619298
Module 6.3 Module 6 Lab
Unit 2 Module 6 Lab Assignment
Learning Goal: Compare distributions from two or more groups.
Specific Learning Objective: Create and interpret boxplots to compare distributions.
1) The data graphed here is 8 years of data from six colleges. The variable is the percent of
freshmen that graduate on-time.
A
B
F
40
45
50
55
60
65
70
75
80
85
90
Percent that Graduate Ontime
Q1
Q2
College
Min
Q3
Max
n
А
43.2
50.5
63.75
71.1
73.8
69.5 70.15
56.25 67.65| 72.15
B
8
67.3
73.5
76.7
с
8
54.5
74.8
D
8
74.1
76
79
82.1
84.6
E
54.5
56.25 59.15
64.8
71.3
F
8
57.5
63.7
72
82.85
87.4
a) Which college had the highest on-time graduation rate during the years of this study?
How do you know?
b) On average, which college had the highest on-time graduation rate? How do you know?
This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY.
c) Now let's consider the variability in the data. Which college had the most consistent on-
time graduation rates overall? Write a sentence precisely describing the variability for
this college. (Use the 5-number summaries in the table.)
d) Which college had the smallest amount of variability relative to its median? In other
words, which college has the least amount of variability in the midd'
Write a sentence precisely describing the variability for this colleg
summaries in the table.)
its data?
numbe
College
Transcribed Image Text:8:08 * y * N all 89%Ï E 6.3 – Modul...447619298 Module 6.3 Module 6 Lab Unit 2 Module 6 Lab Assignment Learning Goal: Compare distributions from two or more groups. Specific Learning Objective: Create and interpret boxplots to compare distributions. 1) The data graphed here is 8 years of data from six colleges. The variable is the percent of freshmen that graduate on-time. A B F 40 45 50 55 60 65 70 75 80 85 90 Percent that Graduate Ontime Q1 Q2 College Min Q3 Max n А 43.2 50.5 63.75 71.1 73.8 69.5 70.15 56.25 67.65| 72.15 B 8 67.3 73.5 76.7 с 8 54.5 74.8 D 8 74.1 76 79 82.1 84.6 E 54.5 56.25 59.15 64.8 71.3 F 8 57.5 63.7 72 82.85 87.4 a) Which college had the highest on-time graduation rate during the years of this study? How do you know? b) On average, which college had the highest on-time graduation rate? How do you know? This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY. c) Now let's consider the variability in the data. Which college had the most consistent on- time graduation rates overall? Write a sentence precisely describing the variability for this college. (Use the 5-number summaries in the table.) d) Which college had the smallest amount of variability relative to its median? In other words, which college has the least amount of variability in the midd' Write a sentence precisely describing the variability for this colleg summaries in the table.) its data? numbe College
8:08 P *
* N all 89%i
40
45
50
55
60
65 70 75
80
85
90
Percent that Graduate Ontime
College
Min
Q1
Q2
Q3
Max
n
А
43.2
50.5
63.75
71.1
73.8
8
67.3
69.5
70.15
73.5
76.7
C
8
54.5
56.25 67.65| 72.15
74.8
D
8
74.1
76
79
82.1
84.6
E
54.5
56.25 59.15
64.8
71.3
F
57.5
63.7
72
82.85
87.4
a) Which college had the highest on-time graduation rate during the years of this study?
How do you know?
b) On average, which college had the highest on-time graduation rate? How do you know?
This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY.
c) Now let's consider the variability in the data. Which college had the most consistent on-
time graduation rates overall? Write a sentence precisely describing the variability for
this college. (Use the 5-number summaries in the table.)
d) Which college had the smallest amount of variability relative to its median? In other
words, which college has the least amount of variability in the middle half of its data?
Write a sentence precisely describing the variability for this college. (Use the 5-number
summaries in the table.)
For all of the colleges in this data set there is variability in on-time graduation rates from year to
year. When we compare the colleges, there is also a lot of overlap in the distributions. Yet we
can still distinguish substantial differences among some of them.
e) Pick two colleges that you think differ substantially in on-time graduation rates. Use the
boxplots (and 5-number summaries) to provide at least 3 observations to support your
choice.
f) Pick two colleges that you think have a similar distribution of on-time graduation rates.
Use the boxplots (and 5-number summaries) to provide at least 3 observations to
support your choice.
This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY.
Transcribed Image Text:8:08 P * * N all 89%i 40 45 50 55 60 65 70 75 80 85 90 Percent that Graduate Ontime College Min Q1 Q2 Q3 Max n А 43.2 50.5 63.75 71.1 73.8 8 67.3 69.5 70.15 73.5 76.7 C 8 54.5 56.25 67.65| 72.15 74.8 D 8 74.1 76 79 82.1 84.6 E 54.5 56.25 59.15 64.8 71.3 F 57.5 63.7 72 82.85 87.4 a) Which college had the highest on-time graduation rate during the years of this study? How do you know? b) On average, which college had the highest on-time graduation rate? How do you know? This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY. c) Now let's consider the variability in the data. Which college had the most consistent on- time graduation rates overall? Write a sentence precisely describing the variability for this college. (Use the 5-number summaries in the table.) d) Which college had the smallest amount of variability relative to its median? In other words, which college has the least amount of variability in the middle half of its data? Write a sentence precisely describing the variability for this college. (Use the 5-number summaries in the table.) For all of the colleges in this data set there is variability in on-time graduation rates from year to year. When we compare the colleges, there is also a lot of overlap in the distributions. Yet we can still distinguish substantial differences among some of them. e) Pick two colleges that you think differ substantially in on-time graduation rates. Use the boxplots (and 5-number summaries) to provide at least 3 observations to support your choice. f) Pick two colleges that you think have a similar distribution of on-time graduation rates. Use the boxplots (and 5-number summaries) to provide at least 3 observations to support your choice. This activity is adapted from materials developed by Los Medanos College math faculty, licensed CC BY.
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