Describing and Comparing Data with Histograms — Unit test Answers

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Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. 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 of each type and records their weights. The weights and their relative frequencies are summarized in the histograms.

Question illustration
A
The median weight for both types is between 32.1 and 32.2 ounces.
B
The median weight for both types is between 32.0 and 32.1 ounces.
C
The median weight for brand B is less than the median weight of brand A.
D
The median weight for brand B is greater than the median weight of brand A.
3

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
31.9–32.0 ounces
B
32.0–32.1 ounces
C
32.1–32.2 ounces
D
32.2–32.3 ounces
4

Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here. Payment Method Live CashierSpeed PassTotalVehicle TypeCar3567102Truck184765 Total53114167What percentage of vehicles are trucks, given that they use Speed Pass?

A
28.1%
B
41.2%
C
68.3%
D
72.3%
5

People of different ages were asked the question "Do you listen to audiobooks?” The bar graph below displays the percentage of "yes” responses for different age groups.

Question illustration
A
No, because the bars are all the same width.
B
No, because the scale starts at 0.
C
Yes, because the bars are not the same height.
D
Yes, because the scale does not start at 0.
6

Which of the following displays is a relative frequency bar graph?

A
A bar graph titled eye color has color on the x-axis. Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
Option A
B
A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
Option B
C
A bar graph titled Caffeinated Drinks has drink on the x-axis. Coffee, 9; tea, 8; soda, 8; energy, 3.
Option C
D
A bar graph titled social media preferences has platform on the x-axis . Upstart, 4; Aster, 18; Babble, 15; Techy, 12.
Option D
8

A student collected data on the size of coffee chosen by customers at a convenience store, and whether the customers took their coffee with sugar, cream, or both. Size of Coffee SmallMediumLargeTotalCoffee AdditiveCream8152144Sugar481123Both15234280 Total274674147What percentage of customers chose a medium-sized coffee?

A
31.3%
B
32.6%
C
50.3%
D
62.1%
9

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provide helpful information for the vehicle. Which of the following is an example of a continuous quantitative variable that might be included in the brochure?

A
number of seats
B
type of transmission
C
presence of a sunroof
D
fuel efficiency (in mpg)
14

The stemplot displays 26 students’ scores on a 90-point statistics test.

Question illustration
A
The scores on the test are centered around 63 and vary from 45 to 85.
B
The scores on the test are centered around 66 and vary from 43 to 85.
C
The scores on the test are centered around 66 and vary from 40 to 80.
D
The scores on the test are centered around 69 and vary from 45 to 85.

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