Question

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:   

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