Question

1. maria and don papace are flying to florida to explore the possibility of moving there. they will be traveling with their two teenage sons. the table below lists information they have researched on the round - trip airfares that are available for purchase on the dates they have chosen to travel. use the table to determine the missing values a - g.

round - trip airfare chicago to orlando 2 adults, 2 children	frequency	relative frequency	cumulative frequency	relative cumulative frequency
$251	2	0.025	6	0.075
$299	3	b	9	0.113
$305	12	0.150	21	0.263
$353	7	0.088	d	0.350
$379	2	0.025	30	0.375
$413	4	0.050	34	f
$457	20	c	54	0.675
$495	5	0.063	59	0.738
$505	7	0.088	e	0.825
$509	2	0.025	68	0.850
$513	12	0.150	80	g
$565	a
total

Explanation:

Step1: Find total frequency

Since relative frequency = frequency / total frequency, and for the first row relative frequency of $0.050$ with frequency $4$, total frequency $n=\frac{4}{0.050}=80$. So $a = 80$.

Step2: Calculate $b$

For the third - row with frequency $3$, relative frequency $b=\frac{3}{80}=0.038$.

Step3: Calculate $c$

For the row with airfare $\$1157$ and frequency $20$, relative frequency $c=\frac{20}{80}=0.250$.

Step4: Calculate $d$

The cumulative frequency before the row with airfare $\$1053$ is $21$. After adding the frequency of $7$ for $\$1053$, $d=21 + 7=28$.

Step5: Calculate $e$

The cumulative frequency before the row with airfare $\$1205$ is $59$. After adding the frequency of $5$ for $\$1205$, $e=59+5 = 64$.

Step6: Calculate $f$

The cumulative frequency for the row with airfare $\$1079$ is $34$. Relative cumulative frequency $f=\frac{34}{80}=0.425$.

Step7: Calculate $g$

The cumulative frequency for the last row is $80$. Relative cumulative frequency $g=\frac{80}{80}=1.000$.

Answer:

$a = 80$, $b = 0.038$, $c = 0.250$, $d = 28$, $e = 64$, $f = 0.425$, $g = 1.000$