Homework 3.1
Which of the following is always true?
In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.
Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A larger data set was used to convict 5 members of the company of grand larceny. Find the mean and median for each of the two samples and then compare the two sets of results. Do the limited data listed here show evidence of stealing by the security company's employees? Security Company: 1.7 1.3 1.7 1.3 1.4 1.6 1.5 1.6 1.6 1.2 Other Companies: 1.7 2.2 2.1 1.6 2.1 1.5 2.2 1.6 1.6 1.9
The mean for the security company is $1.49 million and the mean for the other companies is $1.85 million. The median for the security company is $1.55 million and the median for the other companies is $1.8 million. Compare the results. Choose the correct answer below The mean and the median for the security company are both lower than the mean and the median for the collections performed by other companies. Do the limit data listed here show evidence of stealing by the security company's employees? Since the security company appears to have collected lower revenue than the other companies, there is some evidence of stealing by the security company's employees.
One common system for computing a grade point average (GPA) assigns 4 points to an A, 3 points to a B, 2 points to a C, 1 point to a D, and 0 points to an F. What is the GPA of a student who gets an A in a 3-credit course, a B in each of two 2-credit courses, a C in a 3-credit course, and a D in a 4-credit course?
The mean grade point score is 2.4
Which of the following is NOT a characteristic of the mean?
The mean is called the average by statisticians
Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two samples, then compare the two sets of results. Single Line: 6.4 6.6 6.7 6.8 6.9 7.2 7.4 7.7 7.7 7.7 Individual Lines: 4.2 5.3 6.0 6.2 6.4 7.7 7.7 8.5 9.2
The mean waiting time for customers in a single line is 7.11 minutes The median waiting time for customers in a single line is 7.05 minutes. The mean waiting time for customers in individual lines is 7.11 minutes. The median waiting time for customers in individual lines is 7.05 minutes. Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it? The times for customers in individual lines are much more varied than the times for customers in a single line.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 11 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 300 299 181 283 296 234 250 276 283 286 250
a. Find the mean. The mean is 267.1 b. Find the median. The median is 283 c. Find the mode. The mode(s) is(are) 283,250 pound(s). d. Find the midrange. The midrange is 240.5 e. Are the results likely to be representative of all players in that sport's league? The results are not likely to be representative because the championship team may not be representative of the entire league.
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 51 28 67 6 77 23 99 57 2 38 95
a. Find the mean. The mean is 49.4 b. Find the median. The median is 51 c. Find the mode. There is no mode. d. Find the midrange. The midrange is 50.5 e. What do the results tell us? The jersey numbers are nominal data and they do not measure or count anything, so the resulting statistics are meaningless.
Which of the following is NOT a measure of center?
census
Methods used that summarize or describe characteristics of data are called _______ statistics.
descriptive
A value at the center or middle of a data set is a(n) _______.
measure of center
The measure of center that is the value that occurs with the greatest frequency is the _______.
mode
