Could you please tell me if my work is correct?   Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly listed for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table shows the ages of the chief executive officers for the first 60 ranked firms.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Could you please tell me if my work is correct?

 

Forbes magazine published data on the best small firms in 2012. These were firms which had been publicly listed for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1 billion. The table shows the ages of the chief executive officers for the first 60 ranked firms.

Age

Frequency

Relative Frequency

Cumulative Relative Frequency

40–44

3

0.05

0.05

45–49

11

0.18

0.23

50–54

13

0.22

0.45

55–59

16

0.27

0.72

60–64

10

0.17

0.88

65–69

6

0.10

0.98

70–74

1

0.02

1.00

Total:

60

1

 

 

How I got the calculations:

 

Age

Frequency

Relative Frequency

Cumulative Relative Frequency

40–44

3

=F10/F17

=G10

45–49

11

=F11/F17

=H10+G11

50–54

13

=F12/F17

=H11+G12

55–59

16

=F13/F17

=H12+G13

60–64

10

=F14/F17

=H13+G14

65–69

6

=F15/F17

=H14+G15

70–74

1

=F16/F17

=H15+G16

Total:

=SUM(F10:F16)

=SUM(G10:G16)

 

 

  1. What is the frequency for CEO ages between 54 and 65?

45

Work:

13+16+10+6 = 45

  1. What percentage of CEOs are 65 years or older?

It is 12%

7/60 = .12 * 100 = 12%

 

  1. What is the relative frequency of ages under 50?

.23

Work

.05+.18 = .23

  1. What is the cumulative relative frequency for CEOs younger than 55?

.45

 

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