Question

The following frequency distribution shows the number of passengers who flew on a small regional aircraft...

The following frequency distribution shows the number of passengers who flew on a small regional aircraft company’s flight number 1853 for the past 50 days.

Number of passengers

on Flight 1853

Frequency (days)

Relative Frequency

Cumulative

Relative

Frequency

50 to 59

4

60 to 69

11

70 to 79

15

80 to 89

9

90 to 99

8

100 to 109

3

Use this data to construct a relative frequency and cumulative relative frequency distribution. Report all of your answers in the table above to 2 decimal places, using conventional rounding rules.

What percent of the days are there less than 70 passengers on Flight 1853? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:         %

What proportion of the days are there 80 – 89 passengers on Flight 1853? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:         

What percent of the days are there at least 80 passengers on Flight 1853? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:         %

What is the approximate mean number of passengers on Flight 1853? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:         

What is the approximate standard deviation of the number passengers on Flight 1853? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:         

What is the midpoint of the class interval with the smallest frequency? Report your final answer to 2 decimal places, using conventional rounding rules.

ANSWER:   

Homework Answers

Answer #1

Percent of the days there are less than 70 passengers on Flight 1853 = 0.08+0.22

= 0.30 = 30.00%

Proportion of the days there are 80 – 89 passengers on Flight 1853 = 0.18

Percent of the days are there at least 80 passengers on Flight 1853 = 0.18 + 0.16 + 0.06

=0.40 = 40.00%

Mean number of passengers on Flight 1853 = 77.5

Standard deviation of the number passengers on Flight 1853 = 13.59

Smallest Frequency class = 100-109

Midpoint of the class interval with the smallest frequency = 104.50

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