AnswersDRHS GA-Statistical ReasoningUnit Test

Unit Test — Unit test Answers

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The dotplot below displays 26 students’ scores on a 30-point statistics quiz.

Question illustration
A
The distribution of quiz scores is skewed left with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
B
The distribution of quiz scores is skewed right with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
C
The distribution of quiz scores is unimodal symmetric with a center around 24 and varies from 12 to 30. There are possible outliers at 12, 14, 15, and 16.
D
The distribution of quiz scores is unimodal symmetric with a center around 26 and varies from 20 to 30. There are possible outliers at 12, 14, 15, and 16.
2
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One drive-through car wash facility offers three different types of washes: basic, deluxe, and supreme. The manager of the car wash facility tallies customer selections over three days. Type of Car Wash BasicDeluxeSupremeTotalDayFriday15431977Saturday275222101Sunday23451987 Total6514060265Given that a customer got their car washed on Friday, what is the probability that the customer selected the deluxe car wash?

A
16.2%
B
30.7%
C
52.8%
D
55.8%
3

The dotplots below display the scores for two classes on a 30-point statistics quiz. Class A has 26 students and Class B has 25 students.Which statement best compares the variability of the quiz scores for Class A and Class B?

Question illustration
A
The scores on the quiz for Class A have more variability than the scores for Class B.
B
The scores on the quiz for Class B have more variability than the scores for Class A.
C
The scores on the quiz for Class A have less variability than the scores for Class B.
D
The scores on the quiz for Class B have about the same variability as the scores for Class A.
4

Some students were surveyed about their favorite type music and school-subject preferences. The results are displayed below.

Question illustration
A
There is a much larger preference for science among those who prefer R&B.
B
There is a much larger preference for English among those who prefer rock.
C
There is a much smaller preference for math among those who prefer country.
D
The percentages for class preference are relatively the same among the different music groups.
5

A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-3031-5051+TotalSportFootball15191751Baseball7121837Basketball1581134Soccer129627 Total494852149What proportion of those surveyed chose basketball as their favorite sport?

A
StartFraction 34 Over 149 EndFraction
Option A
B
StartFraction 15 Over 49 EndFraction
Option B
C
StartFraction 18 Over 52 EndFraction
Option C
D
StartFraction 37 Over 149 EndFraction
Option D
6

Joe is interested in the prices of homes sold in his area. He found a list of the selling prices of 50 homes for the past month. Most of the homes sold for $100,000–$350,000, but there were a few that sold for more than $1,000,000. Which of the following statements is true about the mean and median selling price for the 50 homes?

A
The mean and median are equal.
B
The mean is less than the median.
C
The mean is greater than the median.
D
The actual selling prices are needed to determine this.
7

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

Question illustration
A
7.5
B
8.5
C
9
D
10
8

The five-number summary for the lengths of songs, in minutes, performed by a popular music group is given below.Minimum: 1.8 Q1: 3.3 Median: 3.8 Q3: 4.5 Maximum: 9.2 What is the IQR for the distribution of song lengths?

A
0.5
B
0.7
C
1.2
D
1.5
9

An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, price, number of power settings, and color. What are the individuals in this data set?

A
microwave ovens
B
brands
C
prices
D
colors
10

A scientist is studying the characteristics of butterflies and collects a random sample of butterflies to measure. Information regarding the wingspan of the butterflies is shown in the histogram below.

Question illustration
A
Wingspan is a categorical variable.
B
Wingspan is a discrete quantitative variable.
C
Wingspan is a continuous quantitative variable.
D
Frequency is a continuous quantitative variable.
11

The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.Which of the following is the corresponding frequency table?

Question illustration
A
Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Option A
B
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Option B
C
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Option C
D
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.
Option D
12

The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s Statistics classes.

Question illustration
A
Both distributions appear to be fairly symmetric.
B
The distribution of quiz grades for class 1 appears to be skewed left, and the distribution of quiz grades for class 2 appears to be fairly symmetric.
C
The distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be fairly symmetric.
D
The distribution of quiz grades for class 1 appears to be skewed right, and the distribution of quiz grades for class 2 appears to be slightly skewed left.
13

The relative frequency table displays the percentage of responses of students who were asked, "What caffeinated drinks do you consume?"CoffeeTeaSodaEnergy drink0.830.750.750.25The picture graph below displays the results of the survey.Is this graph misleading?

Question illustration
A
No, because the pictures accurately represent the percentage of each type of drink.
B
No, because the height of each picture corresponds to the percentage of each type of drink.
C
Yes, because the height of each picture does not correspond to the percentage of each type of drink.
D
Yes, because the areas of the pictures do not accurately represent the proportions of each type of drink.
14

A college student would like to investigate the prices of large sandwiches offered near college campuses. Two random samples of 50 shops that sell sandwiches near the campuses of two colleges were taken and the price they charge for a large sandwich was recorded. One sample was taken for shops near City College, and one sample was taken for shops near Main Line University. The results are displayed in the cumulative relative frequency histograms below.Which is a correct comparison of sandwich prices based on the histograms?

Question illustration
A
The interval from $11 to $12 contains the most shops for both college locations.
B
More shops charge between $12 and $13 near Main Line University than City College.
C
The median price lies between $10 to $11 for both City College and Main Line University.
D
Fewer shops sell sandwiches for under $10 near City College than near Main Line University.
15

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.1, 4, 4, 4, 4, 6, 5

A
1
B
1.53
C
4
D
5
16

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
20–30 seconds
B
30–40 seconds
C
70–80 seconds
D
80–90 seconds
17

A sample of college students was given a survey that asked whether they lived on or off campus. The results are displayed below.

Question illustration
A
There is an association because the distribution of housing differs among the year groups.
B
There is an association because the distribution of housing is the same among the year groups.
C
There is no association because the distribution of housing differs among the year groups.
D
There is no association because the distribution of housing is the same among the year groups.
18

The parallel dotplots below display the number of cars parked for several days in each of two parking lots.

Question illustration
A
The range for the distribution of the number of cars is larger in lot A.
B
The range for the distribution of the number of cars is larger in lot B.
C
There is a smaller standard deviation in the distribution of the number of cars in lot B.
D
The standard deviation in the distribution of the number of cars is the same for both lots.
19

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
90–100 minutes
B
100–110 minutes
C
110–120 minutes
D
120–130 minutes
20

A random sample of teenagers were surveyed and asked about their favorite sport. The pie chart below displays their responses.

Question illustration
A
Fewer students in the sample listed volleyball as their favorite sport than football.
B
More students in the sample listed lacrosse as their favorite sport than basketball.
C
More students in the sample listed basketball as their favorite sport than volleyball.
D
The highest percentage of teenagers in the sample listed soccer as their favorite sport.

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