How many points do teams score in the championship game of a certain​ sport? The total numbers of points scored by both teams in each of the first 46 championship games are shown below. Complete parts a through e below.   46​, 48​, 23​, 30​, 29​, 27​, 21​, 30​, 22​, 39​, 45​, 38​, 67​, 49​, 38​, 48​, 43​, 47​, 53​, 55​, 58​, 51​, 37​, 65​, 39​, 62​, 70​, 42​, 77​, 45​, 55​, 56​, 52​, 39​, 42​, 38​, 68​, 61​, 46​, 32​, 47​, 32​, 51​, 47​, 55​, 38   ​a) Find the median.   The median is nothing. ​(Type an integer or a​ decimal.) ​b) Find the quartiles.   The lower quartile is nothing. ​(Type an integer or a​ decimal.) The upper quartile is nothing. ​(Type an integer or a​ decimal.) ​c) Are there any​ outliers? Select the correct choice below and fill in the answer boxes within your choice. ​(Type integers or​ decimals.)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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How many points do teams score in the championship game of a certain​ sport? The total numbers of points scored by both teams in each of the first
46
championship games are shown below. Complete parts a through e below.
 
46​,
48​,
23​,
30​,
29​,
27​,
21​,
30​,
22​,
39​,
45​,
38​,
67​,
49​,
38​,
48​,
43​,
47​,
53​,
55​,
58​,
51​,
37​,
65​,
39​,
62​,
70​,
42​,
77​,
45​,
55​,
56​,
52​,
39​,
42​,
38​,
68​,
61​,
46​,
32​,
47​,
32​,
51​,
47​,
55​,
38
 
​a) Find the median.
 
The median is
nothing.
​(Type an integer or a​ decimal.)
​b) Find the quartiles.
 
The lower quartile is
nothing.
​(Type an integer or a​ decimal.)
The upper quartile is
nothing.
​(Type an integer or a​ decimal.)
​c) Are there any​ outliers? Select the correct choice below and fill in the answer boxes within your choice.
​(Type integers or​ decimals.)
 
A.
The upper fence is
nothing
and the lower fence is
nothing.
The​ value(s)
nothing
fall outside these fences and so are outliers.
 
B.
The upper fence is
nothing
and the lower fence is
nothing.
None of the values fall outside these​ fences, so there are no outliers.
 
C.
The upper fence is
nothing
and the lower fence is
nothing.
None of the values fall inside these​ fences, so there are no outliers.
 
D.
The upper fence is
nothing
and the lower fence is
nothing.
The​ value(s)
nothing
fall inside these fences and so are outliers.
​d) Construct a boxplot of the data. Choose the correct graph below.
 
 
A.
 
 
 
 
 
 
 
 
 
 
20    40    60    80x
 
  •  
  •  
  •  
A boxplot has a horizontal x-axis labeled from 20 to 80 in increments of 5. Vertical line segments are drawn at the following values: 23, 40, 48, 57, 79. A box encloses the vertical line segments at 40, 48, and 57, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 23 and 79.
 
B.
 
 
 
 
 
 
 
 
 
 
20   40   60   80x
 
  •  
  •  
  •  
A boxplot has a horizontal x-axis labeled from 20 to 80 in increments of 5. Vertical line segments are drawn at the following values: 23, 45, 54, 62, 79. A box encloses the vertical line segments at 45, 54, and 62, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 23 and 79.
 
C.
 
 
 
 
 
 
 
 
 
 
20   40   60   80x
 
  •  
  •  
  •  
A boxplot has a horizontal x-axis labeled from 20 to 80 in increments of 5. Vertical line segments are drawn at the following values: 21, 38, 46, 55, 77. A box encloses the vertical line segments at 38, 46, and 55, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 21 and 77.
 
D.
 
 
 
 
 
 
 
 
 
 
20   40   60   80x
 
  •  
  •  
  •  
A boxplot has a horizontal x-axis labeled from 20 to 80 in increments of 5. Vertical line segments are drawn at the following values: 21, 43, 52, 60, 77. A box encloses the vertical line segments at 43, 52, and 60, and horizontal line segments extend outward from both sides of the box to the vertical line segments at 21 and 77.
​e) Write a description of the distribution based on the boxplot and the​ 5-number summary.
 
The​ 5-number summary is
nothing​,
nothing​,
nothing​,
nothing​,
nothing.
​(Type integers or decimals. Use ascending​ order.)
In the championship​ game, teams typically score a total of about
nothing
​points, with half the games totaling more than
nothing
but less than
nothing
points. In only one fourth of the games have the teams scored fewer than
nothing
​points, and the most the teams ever totaled was
nothing
points.
​(Type integers or​ decimals.)
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