AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Boxplots and Outliers

Boxplots and Outliers — Unit test Answers

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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 displayed in the histogram below.

Question illustration
A
uniform
B
skewed left
C
skewed right
D
roughly symmetric
2
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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
3

Without making any calculations, which data set has the smallest standard deviation?

A
1, 1, 2, 2, 3, 3
B
1, 3, 5
C
0, 1, 5, 6, 9, 10
D
1, 1, 1, 1, 2, 2, 2, 2
4

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.
5

IQ scores are collected from a sample of students at a large university. The scores are shown below.99, 100, 105, 104, 102, 105, 105, 121, 104

A
102
B
104
C
105
D
110
6

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.
7

The distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. Which measure of center, mean or median, is a better indication of a "typical” salary at this business?

A
The mean is better because it is not affected by the high salaries.
B
The median is better because it is not affected by the high salaries.
C
It cannot be determined without knowing the actual salaries.
D
Either one would be a good measure of a typical salary because they are the same value.
8

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.
9

Some students were surveyed about their favorite type music and favorite school subject. The results are displayed below.Based on the graph, is there an association between favorite type of music and favorite school subject?

Question illustration
A
There is an association because the distribution of favorite music differs among the subject groups.
B
There is an association because the distribution of favorite music is the same among the subject groups.
C
There is no association because the distribution of favorite music differs among the subject groups.
D
There is no association because the distribution of favorite music is the same among the subject groups.
10

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.
11

The bar graph below shows the eye colors of students in a statistics class.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

In a large city, commuter trains are used to transport people into the downtown area. Trains arrive many times a day to a downtown station. While most are on time, some are late. The table shows on-time data from the past week. Train Status On TimeLateTotalDay of the WeekMonday32840Tuesday241640Wednesday37340Thursday291140Friday302050 Total15258210What percentage of trains were late in this particular week?

A
27.6%
B
38.2%
C
40.0%
D
72.4%
13

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.
14

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
15

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.
16

A state tourist guide provides information on summer vacation towns. Some of the towns and related information are given in the table below.What are the individuals in the data set?

Question illustration
A
towns
B
average temperatures
C
beach access
D
locations
17

Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM) with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was not entered. If this student’s results were included in the data set, what effect would it have on the standard deviation?

A
The standard deviation would be noticeably larger.
B
The standard deviation would be noticeably smaller.
C
The standard deviation would be about the same, perhaps a little larger.
D
The standard deviation would be about the same, perhaps a little smaller.
18

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
19

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.
20

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

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