Answered: How many points do teams score in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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

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,

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.)

The upper fence is

nothing

and the lower fence is

nothing.

The value(s)

nothing

fall outside these fences and so are outliers.

The upper fence is

nothing

and the lower fence is

nothing.

None of the values fall outside these fences, so there are no outliers.

The upper fence is

nothing

and the lower fence is

nothing.

None of the values fall inside these fences, so there are no outliers.

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.

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.

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.

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.

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.

(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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