Question

use the graph below to answer the questions. a new - car dealer keeps records on car buyers for future marketing purposes. the table gives information on the previous 4 buyers.

buyers name	zip code	sex	distance from dealer (mi)	car model	engine type (cylinders)	price
p.smith	27514	m	13	explorer	4	$32,675
k.ewing	27510	m	10	mustang	8	$39,500
l.suarez	27516	f	2	fusion	4	$38,400
s.reice	27243	f	4	f - 150	6	$56,000

1. identify the individuals and variables in this data set. classify each variable as categorical or quantitative.

the data below represents which superpower 40 students chose.
fly freeze time telepathy fly telepathy
super strength telepathy telepathy fly super strength
invisibility freeze time fly telepathy freeze time
telepathy super strength fly freeze time telepathy
freeze time freeze time freeze time fly fly
fly freeze time invisibility fly invisibility
telepathy telepathy fly telepathy fly
fly telepathy telepathy fly fly

1. summarize the distribution of superpower preference with a frequency table and a relative frequency table.

super power

frequency

relative frequency

|

1. create a bar chart using the relative frequency above. (use graph paper)

Explanation:

Step1: Identify individuals and variables for car - buyer data

Individuals are the 4 car - buyers (P. Smith, K. Ewing, L. Suarez, S. Reice). Variables are: Buyer's name (categorical), Zip code (categorical), Sex (categorical), Distance from dealer (quantitative), Car model (categorical), Engine type (categorical), Price (quantitative).

Step2: Create frequency table for super - power preference

Count the number of times each super - power appears.
Fly: 15, Freeze time: 10, Telepathy: 12, Super strength: 4, Invisibility: 3

Step3: Calculate relative frequencies for super - power preference

Relative frequency = Frequency / Total number of students. Total number of students = 40.
For Fly: $\frac{15}{40}=0.375$, for Freeze time: $\frac{10}{40}=0.25$, for Telepathy: $\frac{12}{40}=0.3$, for Super strength: $\frac{4}{40}=0.1$, for Invisibility: $\frac{3}{40}=0.075$

Answer:

1. Individuals: P. Smith, K. Ewing, L. Suarez, S. Reice.

• Buyer's name: Categorical
• Zip code: Categorical
• Sex: Categorical
• Distance from dealer: Quantitative
• Car model: Categorical
• Engine type: Categorical
• Price: Quantitative

2.

Super power	Frequency	Relative frequency
Freeze time	10	0.25
Telepathy	12	0.3
Super strength	4	0.1
Invisibility	3	0.075

1. (Since creating a bar chart requires graph - paper and visual drawing, it is not shown here but should be drawn with super - powers on the x - axis and relative frequencies on the y - axis, with bars corresponding to each super - power's relative frequency).