AnswersAA - F26 Advanced AlgebraApplications with Standard Normal Distribution

Describing and Comparing Data with Histograms Answers

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The graph below displays a fire department’s response time, which measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station.

Question illustration
A
uniform
B
skewed left
C
skewed right
D
roughly symmetric
2
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A college graduate seeks a job as an executive assistant and collects data on starting salaries from 200 companies: 100 private and 100 public. The data are summarized in the cumulative relative frequency histograms below.Using the histograms, what is a correct comparison of public and private starting salaries?

Question illustration
A
Both salary distributions are skewed left.
B
In both groups, more than 10 percent of salaries are greater than $55,000.
C
The median salary for both groups is between $45,000 and $50,000.
D
Both private and public salaries range from a low of $35,000 to $40,000 to a high of $60,000 to $65,000.
3

A college student would like to investigate the prices of sandwiches offered near the campus. A sample of 50 shops that sell sandwiches near the campus was taken and the price they charge for a large sandwich was recorded. The results are displayed in the cumulative relative frequency histogram below.

Question illustration
A
$9–$10
B
$10–$11
C
$11–$12
D
$12–$13
4

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 residents from two different neighborhoods are displayed in the histograms.Which statement correctly compares the water bills for the two neighborhoods?

Question illustration
A
Overall, water bills on Pine Road are less than those on Front Street.
B
Overall, water bills on Pine Road are higher than those on Front Street.
C
The range of water bills on Pine Road is lower than the range of water bills on Front Street.
D
The range of water bills on Pine Road is higher than the range of water bills on Front Street.
5

Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.

Question illustration
A
$150–$175
B
$175–$200
C
$200–$225
D
$225–$250
6

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histogram below displays the lap times for Stefano, a runner in the 3,000-meter race.

Question illustration
A
36–37 seconds
B
37–38 seconds
C
38–39 seconds
D
39–40 seconds
7

Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during the day for a total of 50 observations. The histogram below shows the results.

Question illustration
A
10–20 cars
B
20–30 cars
C
30–40 cars
D
40–50 cars
8

A college student would like to investigate the prices of sandwiches offered near the campus. A sample of 50 shops that sell sandwiches near the campus was taken and the price they charge for a large sandwich was recorded. The results are displayed in the cumulative relative frequency histogram below.

Question illustration
A
The distribution of sandwich prices is skewed left.
B
The interval from $9 to $10 contains the largest number of sandwich prices.
C
About 62 percent of sandwich shops sell their large sandwich for between $10 and $11.
D
More sandwich shops sell a large sandwich for $12 to $13 dollars than for $10 to $11.
9

Alex records the running time—the number of minutes a movie lasts from start to finish—of 50 popular movies. The distribution of times, in minutes, is shown in the histogram below.

Question illustration
A
80–90 minutes
B
90–100 minutes
C
100–110 minutes
D
110–120 minutes
10

Drivers pay a toll to pass over a busy bridge, and there are many toll booths that collect money. The city manager counted the total number of cars waiting to pay their tolls at 15-minute intervals during two different days, once on a weekday and once on a weekend. The histograms below show the results.Using the histograms, which of the following is the correct comparison of the distributions?

Question illustration
A
The 10–20 interval contains the most observations on both days.
B
The two distributions for number of cars in line are both skewed right.
C
The median number of cars for both distributions lies in the 20–30 interval.
D
There were more than 40 cars in line more often on the weekend than the weekday.

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