1. Income distribution in the population: We look at income x (measured in millions) in a population. The table below shows the income distribution for a sample of n = 15000 people. (0.0,0.1] (0.1,0.2] (0.2,0.3] (0.3,0.4] (0.4,0.5] (0.5,0.6] (0.6,0.7] (0.7,0.8] (0.8,0.9] (0.9,1.0] (1.0,1.1] (1.1,1.2] (1.2,1.3] (1.3,1.4] (1.4,1.5] (1.5,1.6] (1.6,1.7] (1.7,1.8] (1.8,1.9] (1.9,2.0] Midpoint. Frequency Cumulative 0.05 289 0.15 1834 0.25 3125 0.35 3174 0.45 2577 0.55 1699 0.65 0.75 0.85 0.95 1.05 1.15 1.25 1.35 1.55 1.65 1.75 1.85 1.95 1045 626 341 151 62 41 24 5 2 0 0 1 0 289 2123 5248 8422 10999 12698 13743 14369 14710 14861 14923 14964 14988 14993 14997 14999 14999 14999 15000 15000 Table explanation: • The column on the left (without a name) shows income (in millions) as an interval (from, to]. • Midpoint.: The midpoint of the income interval. Example: the interval (0.0, 0.1] has a midpoint of 0.05. • Frequency: absolute frequency. Column sum = 15000. • Cumulative: shows cumulative frequency, i.e. the number of observations that are less than or equal to the current x-value (e.g. 5248 = 289 + 1834 +3125). (a) What percentage of the population earns less than or equal to 1 million? What is the average income among those earning more than 1.5 million (1.5 not included)? (You can use the midpoint of the intervals in the calculation) (b) If we make a histogram with a density scale on the y-axis, what is the value (height) of the histogram in the interval (1.6, 1.9]?
1. Income distribution in the population: We look at income x (measured in millions) in a population. The table below shows the income distribution for a sample of n = 15000 people. (0.0,0.1] (0.1,0.2] (0.2,0.3] (0.3,0.4] (0.4,0.5] (0.5,0.6] (0.6,0.7] (0.7,0.8] (0.8,0.9] (0.9,1.0] (1.0,1.1] (1.1,1.2] (1.2,1.3] (1.3,1.4] (1.4,1.5] (1.5,1.6] (1.6,1.7] (1.7,1.8] (1.8,1.9] (1.9,2.0] Midpoint. Frequency Cumulative 0.05 289 0.15 1834 0.25 3125 0.35 3174 0.45 2577 0.55 1699 0.65 0.75 0.85 0.95 1.05 1.15 1.25 1.35 1.55 1.65 1.75 1.85 1.95 1045 626 341 151 62 41 24 5 2 0 0 1 0 289 2123 5248 8422 10999 12698 13743 14369 14710 14861 14923 14964 14988 14993 14997 14999 14999 14999 15000 15000 Table explanation: • The column on the left (without a name) shows income (in millions) as an interval (from, to]. • Midpoint.: The midpoint of the income interval. Example: the interval (0.0, 0.1] has a midpoint of 0.05. • Frequency: absolute frequency. Column sum = 15000. • Cumulative: shows cumulative frequency, i.e. the number of observations that are less than or equal to the current x-value (e.g. 5248 = 289 + 1834 +3125). (a) What percentage of the population earns less than or equal to 1 million? What is the average income among those earning more than 1.5 million (1.5 not included)? (You can use the midpoint of the intervals in the calculation) (b) If we make a histogram with a density scale on the y-axis, what is the value (height) of the histogram in the interval (1.6, 1.9]?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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![1. Income distribution in the population: We look at income x (measured in millions) in a
population. The table below shows the income distribution for a sample of n = 15000 people.
Frequency Cumulative
289
1834
3125
3174
2577
1699
1045
626
(0.0,0.1]
(0.1,0.2]
(0.2,0.3]
(0.3,0.4]
(0.4,0.5]
(0.5,0.6]
(0.6,0.7]
(0.7,0.8]
(0.8,0.9]
(0.9,1.0]
(1.0,1.1]
(1.1,1.2]
(1.2,1.3]
(1.3,1.4]
(1.4,1.5]
(1.5,1.6]
(1.6,1.7]
(1.7,1.8]
(1.8,1.9]
(1.9,2.0]
Midpoint.
0.05
0.15
0.25
0.35
0.45
0.55
0.65
0.75
0.85
0.95
1.05
1.15
1.25
1.35
1.45
1.55
1.65
1.75
1.85
1.95
341
151
62
41
24
5
4
2
OOHO
0
0
1
0
289
2123
5248
8422
10999
12698
13743
14369
14710
14861
14923
14964
14988
14993
14997
14999
14999
14999
15000
15000
Table explanation:
• The column on the left (without a name) shows income (in millions) as an interval (from, to].
• Midpoint.: The midpoint of the income interval. Example: the interval (0.0, 0.1] has a midpoint of
0.05.
• Frequency: absolute frequency. Column sum= 15000.
• Cumulative: shows cumulative frequency, i.e. the number of observations that are less than or
equal to the current x-value (e.g. 5248 = 289 + 1834 +3125).
(a) What percentage of the population earns less than or equal to 1 million? What is the average
income among those earning more than 1.5 million (1.5 not included)? (You can use the midpoint of
the intervals in the calculation)
(b) If we make a histogram with a density scale on the y-axis, what is the value (height) of the
histogram in the interval (1.6, 1.9]?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78f3f25b-2eb2-4186-b342-f9f487e8326d%2F8fdbbcc6-b1b5-4194-b723-ca215a29165c%2Fxto587g_processed.png&w=3840&q=75)
Transcribed Image Text:1. Income distribution in the population: We look at income x (measured in millions) in a
population. The table below shows the income distribution for a sample of n = 15000 people.
Frequency Cumulative
289
1834
3125
3174
2577
1699
1045
626
(0.0,0.1]
(0.1,0.2]
(0.2,0.3]
(0.3,0.4]
(0.4,0.5]
(0.5,0.6]
(0.6,0.7]
(0.7,0.8]
(0.8,0.9]
(0.9,1.0]
(1.0,1.1]
(1.1,1.2]
(1.2,1.3]
(1.3,1.4]
(1.4,1.5]
(1.5,1.6]
(1.6,1.7]
(1.7,1.8]
(1.8,1.9]
(1.9,2.0]
Midpoint.
0.05
0.15
0.25
0.35
0.45
0.55
0.65
0.75
0.85
0.95
1.05
1.15
1.25
1.35
1.45
1.55
1.65
1.75
1.85
1.95
341
151
62
41
24
5
4
2
OOHO
0
0
1
0
289
2123
5248
8422
10999
12698
13743
14369
14710
14861
14923
14964
14988
14993
14997
14999
14999
14999
15000
15000
Table explanation:
• The column on the left (without a name) shows income (in millions) as an interval (from, to].
• Midpoint.: The midpoint of the income interval. Example: the interval (0.0, 0.1] has a midpoint of
0.05.
• Frequency: absolute frequency. Column sum= 15000.
• Cumulative: shows cumulative frequency, i.e. the number of observations that are less than or
equal to the current x-value (e.g. 5248 = 289 + 1834 +3125).
(a) What percentage of the population earns less than or equal to 1 million? What is the average
income among those earning more than 1.5 million (1.5 not included)? (You can use the midpoint of
the intervals in the calculation)
(b) If we make a histogram with a density scale on the y-axis, what is the value (height) of the
histogram in the interval (1.6, 1.9]?
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