Question

there are a total of 149 seats on this flight. although seating prices change based on a number of factors, answer the questions below based on the prices listed above. a. simulate the creation of a frequency chart by selecting the correct values based on the diagram above. first class price: $850 number of seats: 16 deluxe premium price: $540 number of seats: 33 preferred plus price: $400 number of seats: 25 preferred price: $320 number of seats: 16 economy price: $280 number of seats: 59 b. if all seats were sold for this flight, what would be the total airline income for the seats? c. based on the information in the frequency chart, determine the mean, median, and mode seat prices. round to the nearest cent. mean: median: mode:

Explanation:

Step1: Calculate total income for part b

Multiply price by number of seats for each class and sum.
$(850\times16)+(540\times33)+(400\times25)+(320\times16)+(280\times59)$
$=13600 + 17820+10000 + 5120+16520$
$=63080$

Step2: Calculate mean for part c

Sum of (price * frequency) divided by total number of seats.
$\text{Sum of (price * frequency)}=13600 + 17820+10000 + 5120+16520 = 63080$
$\text{Total number of seats}=16 + 33+25+16+59 = 149$
$\text{Mean}=\frac{63080}{149}\approx423.36$

Step3: Calculate median for part c

Arrange number of seats in ascending - order of prices: 16 (First Class), 16 (Preferred), 25 (Preferred Plus), 33 (Deluxe Premium), 59 (Economy).
The total number of seats $n = 149$. The median position is $\frac{n + 1}{2}=\frac{149+1}{2}=75$.
Counting the cumulative number of seats: First 16 + 16=32, then 32 + 25 = 57, then 57+33 = 90. So the median - priced seat is in the Deluxe Premium class, and the median price is $540$.

Step4: Calculate mode for part c

The mode is the price with the highest frequency. The economy class has the highest number of seats (59), so the mode price is $280$.

Answer:

b. $63080$
c. Mean: $\$423.36$, Median: $\$540$, Mode: $\$280$