MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Question
Transcribed Image Text:In this problem, we explore the effect on the mean, median, and mode of adding the same number to each data value. Consider the
data set 2, 2, 3, 6, 10.
In USE SALT
(a) Compute the mode, median, and mean. (Enter your answers to one decimal place.)
mode
median
mean
(b) Add 3 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.)
mode
median
mean
(c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the
same constant is added to each data value in a set?
Adding the same constant c to each data value results in the mode, median, and mean remaining the same.
Adding the same constant c to each data value results in the mode, median, and mean increasing by c units.
There is no distinct pattern when the same constant is added to each data value in a set.
Adding the same constant c to each data value results in the mode, median, and mean decreasing by c units.
Expert Solution
arrow_forward
Step 1
Mean, median and mode are the measures of central tendency.
Mean is the average of the values and is calculated as the sum of all values divided by the total number of values.
Median is the middle most value.
Mode is the value with highest frequency.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps
Knowledge Booster
Similar questions
- On December 17, 2007 baseball writer John Hickey wrote an article for the Seattle P-I about increases to ticket prices for Seattle Mariners games during the 2008 season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the 2007 season and the cost per win (in dollars). The data for the 16 National League teams are shown below. league price wins cost/win team Arizona Diamondbacks NL 19.68 90 35.40 Atlanta Braves NL 17.07 84 32.89 Chicago Cubs NL 34.30 85 65.33 cincinnati Reds NL 17.90 72 40.32 Colorado Rockies NL 14.72 90 26.67 Florida Marlins NL 16.70 71 38.13 Houston Astros NL 26.66 73 59.11 Los Angeles Dodgers 20.09 82 34.64 NL Milwaukee Brewers NL 18.11 83 35.37 N.Y. Mets NL 25.28 88 46.56 Philadelphia Phillies 26.73 89 48.69 NL Pittsburgh Pirates NL 17.08 68 40.67 San Diego Padres NL 20.83 89 38.15 San Francisco Giants NL 24.53 71 56.00 St. Louis Cardinals NL 29.78 78…arrow_forwardGiven the following set of data, determine the mode.arrow_forwardOn December 17, 2007 baseball writer John Hickey wrote an article for the Seattle P-I about increases to ticket prices for Seattle Mariners games during the 2008 season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the 2007 season and the cost per win (in dollars). The data for the 16 National League teams are shown below. team league price wins cost/win Arizona Diamondbacks NL 19.68 90 35.40 Atlanta Braves NL 17.07 84 32.89 Chicago Cubs NL 34.30 85 65.33 Cincinnati Reds NL 17.90 72 40.32 Colorado Rockies NL 14.72 90 26.67 Florida Marlins NL 16.70 71 38.13 Houston Astros NL 26.66 73 59.11 Los Angeles Dodgers NL 20.09 82 34.64 Milwaukee Brewers NL 18.11 83 35.37 N.Y. Mets NL 25.28 88 46.56 Philadelphia Phillies NL 26.73 89 48.69 Pittsburgh Pirates NL 17.08 68 40.67 San Diego Padres NL 20.83 89 38.15 San Francisco Giants NL 24.53 71…arrow_forward
- Answer this question in R. Show as much of your work as possible.arrow_forwardMode can be more than one in a data set but medium cannot be.explainarrow_forwardWhat type of data (categorical, discrete numerical, continuous numerical) is each of the following variables? If there is any ambiguity about the data type, explain why the answer is unclear. Your college program. The number of college credits you have earned. Length of a TV commercial. The country with the most 2021 Olympic medalsarrow_forward
- The data were collected from a statistics class. The column head gives the variable, and each of the rows represents a student in the class. Find the frequency, proportion, and percentage of right-handed people. LOADING... Click the icon to view the data table. Question content area bottom Part 1 The frequency of right-handed people in the class is enter your response here . (Type a whole number.) Part 2 The proportion of right-handed people in the class is enter your response here . (Type an integer or a fraction.) Part 3 The percentage of right-handed people in the class is enter your response here %. (Type an integer or decimal rounded to one decimal place as needed.)arrow_forwardNikko compares the prices of a skateboard at 7 different online stores. His data is shown below. $67.50, $70.00, $102.25, $65.25, $58.75, $62.00, $68.20 13 Given this information, which statement is true? A The mean and median have the same value. B. The mean is the better measure of center than the median. CThe median is a better measure of center than the mean. D. The median is affected more by the outlier than the mean. DELLarrow_forwardList the most important data types. &tell Two example for Eacharrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman