Describing and Comparing Data with Histograms Answers

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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?

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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.
3

A fire department’s response time measures the time from when the alarm is sounded at the firehouse to the time the first fire engine leaves the station. The histograms below display the response times for fire departments in two small towns: Hilltown and Crestview.Which of the following correctly compares the variability in response times for the two towns?

Question illustration
A
Hilltown and Crestview show similar variability in their response times.
B
The variability in Hilltown’s response times is less than that of Crestview.
C
The median response time in Crestview is greater than that of Hilltown.
D
The variability in Hilltown’s response times is greater than that of Crestview.
9

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.
11

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.
13

A brand of frozen green beans lists a weight of 32 ounces on its bag. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans and records their weights. The weights and their relative frequencies are summarized in the histogram below.

Question illustration
A
Twenty percent of the bags have a weight below 32.2 ounces.
B
Sixty percent of the bags have a weight over 32.2 ounces.
C
Eighty percent of the bags have a weight over 32.2 ounces.
D
The interval from 32.3 to 32.4 contains the highest proportion of bags.

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