Describing and Comparing Data with Histograms

Question 1

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?

Revolt · Accepted Answer

B: Overall, water bills on Pine Road are higher than those on Front Street.

Question 2

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.

Revolt · Accepted Answer

B: 90–100 minutes

Question 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?

Revolt · Accepted Answer

D: The variability in Hilltown’s response times is greater than that of Crestview.

Question 4

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.

Revolt · Accepted Answer

B: The interval from $9 to $10 contains the largest number of sandwich prices.

Question 5

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.

Revolt · Accepted Answer

C: 38–39 seconds

Question 6

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.

Revolt · Accepted Answer

B: 50–60 seconds

Question 7

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.

Revolt · Accepted Answer

D: roughly symmetric

Question 8

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.

Revolt · Accepted Answer

C: $200–$225

Question 9

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.

Revolt · Accepted Answer

B: Sixty percent of the bags have a weight over 32.2 ounces.

Question 10

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.

Revolt · Accepted Answer

B: $10–$11

Describing and Comparing Data with Histograms Answers

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