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MATH 534 Week 1 Quiz: Data Types, Frequency Distributions, and Statistical Concepts, Assignments of Mathematics

This quiz covers fundamental concepts in statistics, including data types (nominal, ordinal, interval, ratio), frequency distributions, and basic statistical measures like standard deviation and z-scores. It provides examples and exercises to reinforce understanding of these concepts.

Typology: Assignments

2023/2024

Available from 12/18/2024

Milestonee
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MATH 534 WEEK 1 QUIZ
Classify each of the following as nominal, ordinal, interval, or
ratio data.
a. The ranking of a company in the Fortune 500. - ORDINAL
b. The number of tickets sold at a movie theater on any given night. - RATIO
c. The identification number on a questionnaire. - NOMINAL
d. Per capita income. - RATIO
e. The trade balance in dollars. - RATIO
f. Profit/loss in dollars. - RATIO
g. A company’s tax identification. - NOMINAL
h. The Standard & Poor’s bond ratings of cities based on the scales below:
ORDINAL
The activity or the process of collecting the data on the
population is called .
a
sample
a data set
a population
a census
A company wants to learn the customers’ purchase habits of
buying certain products. This company did a survey about a
random 1000 customers, who were asked about the times
they purchased the certain products within one month. Then
what is the data in this example:
Times the customers purchased the certain
products.
Customers’ purchase habits.
All the records times of purchasing the certain products for all
of the 1000 customers.
1000 random customers.
Researchers often wish to know the color preference of
consumers and might ask consumers to specify their favorite
color, such as red, blue,
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MATH 534 WEEK 1 QUIZ

Classify each of the following as nominal, ordinal, interval, or ratio data. a. The ranking of a company in the Fortune 500. - ORDINAL b. The number of tickets sold at a movie theater on any given night. - RATIO c. The identification number on a questionnaire. - NOMINAL d. Per capita income. - RATIO e. The trade balance in dollars. - RATIO f. Profit/loss in dollars. - RATIO g. A company’s tax identification. - NOMINAL h. The Standard & Poor’s bond ratings of cities based on the scales below: ORDINAL The activity or the process of collecting the data on the population is called. a sample a data set a population a census A company wants to learn the customers’ purchase habits of buying certain products. This company did a survey about a random 1000 customers, who were asked about the times they purchased the certain products within one month. Then what is the data in this example: Times the customers purchased the certain products. Customers’ purchase habits. All the records times of purchasing the certain products for all of the 1000 customers. 1000 random customers. Researchers often wish to know the color preference of consumers and might ask consumers to specify their favorite color, such as red, blue,

yellow or purple. This is an example of what level of data? exponential ratio interval ordinal nominal What is the level of data corresponding to a military rank (Lieutenant, Captain, Major)? exponential interval ratio nominal ordinal Chemists need to measure the temperature when performing chemistry experiments. What is the level of the data of the heat measured in degrees centigrade? interval ordinal exponential ratio nominal For the following frequency distribution, what is the cumulative frequency for the class “30-under 40”? Class interval Frequency 10-under 20 20 20-under 30 16 30-under 40 30

Cumulative frequency for an individual class is the. individual class frequency divided by the total frequency individual class frequency multiplied by the total frequency individual class frequency minus the total frequency of all preceding classes individual class frequency plus the total frequency of all preceding classes A consumer group surveyed food prices at 87 stores on the East Coast. Among the food prices being measured was that of sugar. From the data collected, the group constructed the frequency distribution of the prices of 4 pounds of Domino’s sugar in the stores surveyed. Compute a histogram, a frequency polygon, and an ogive for the following data. Fre Price que ncy $1.75–under $1.90 9 1.90–under $2.05 14 2.05–under 2.20 17 2.20–under 2.35 16 2.35–under 2.50 18 2.50–under 2.65 8 2.65–un 5

  • der 2.

an error an outlier Scores obtained by students in an advanced placement test has a symmetric mound shaped (bell shaped) distribution with a mean of 70 and a standard deviation of 10. What is the proportion of students who received between 60 and 80 points. about 99.7% not enough information about 68% about 95% What is the range for the following five numbers? 223, 264, 216, 218, 229 84 29 46 22 48 A population is normally distributed with a mean of 25 and a standard deviation of 3. What is the z score for 18?

-2. -1. -2.

According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a. If the distribution of time spent on the job is

approximately bell shaped, between what two times would 68% of the figures be? ANS 392 TO 446