Question

The following numbers of people attended the last 10 screenings of a movie. 196, 197, 197, 198, 199, 207, 208, 210, 211, 292 Complete the parts below to identify any outliers. (a) Let $Q_1$ be the lower quartile and $Q_3$ be the upper quartile of the data set. Find $Q_1$ and $Q_3$ for the data set. $Q_1 = 197$ $Q_3 = 210.5$ (b) Find the interquartile range (IQR) of the data set. IQR = 13.5 (c) Calculate a lower boundary using $Q_1 - 1.5 \cdot IQR$. Calculate an upper boundary using $Q_3 + 1.5 \cdot IQR$. (Note that $1.5 \cdot IQR$ means 1.5 times the IQR.) Lower boundary: 197 Upper boundary: 22 (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click \"None\" . Outliers: 292

          The following numbers of people attended the last 10 screenings of a movie.
196, 197, 197, 198, 199, 207, 208, 210, 211, 292
Complete the parts below to identify any outliers.
(a) Let $Q_1$ be the lower quartile and $Q_3$ be the upper quartile of the data set. Find $Q_1$ and $Q_3$ for the data set.
$Q_1 = 197$
$Q_3 = 210.5$
(b) Find the interquartile range (IQR) of the data set.
IQR = 13.5
(c) Calculate a lower boundary using $Q_1 - 1.5 \cdot IQR$. Calculate an upper boundary using $Q_3 + 1.5 \cdot IQR$. (Note that $1.5 \cdot IQR$ means 1.5 times the IQR.)
Lower boundary: 197
Upper boundary: 22
(d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there
is more than one outlier, separate them with commas. If there are no outliers, click \"None\" .
Outliers: 292
        
Show more…
The following numbers of people attended the last 10 screenings of a movie.
196, 197, 197, 198, 199, 207, 208, 210, 211, 292
Complete the parts below to identify any outliers.
(a) Let Q1 be the lower quartile and Q3 be the upper quartile of the data set. Find Q1 and Q3 for the data set.
Q1 = 197
Q3 = 210.5
(b) Find the interquartile range (IQR) of the data set.
IQR = 13.5
(c) Calculate a lower boundary using Q1 - 1.5 · IQR. Calculate an upper boundary using Q3 + 1.5 · IQR. (Note that 1.5 · IQR means 1.5 times the IQR.)
Lower boundary: 197
Upper boundary: 22
(d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there
is more than one outlier, separate them with commas. If there are no outliers, click N̈one.̈
Outliers: 292

Added by Kevin B.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
The following numbers of people attended the last 10 screenings of a movie. 196,197,197,198,199,207,208,210,211,292 Complete the parts below to identify any outliers. (a) Let Q_(1) be the lower quartile and Q_(3) be the upper quartile of the data set. Find Q_(1) and Q_(3) for the data set. (b) Find the interquartile range (IQR) of the data set. (c) Calculate a lower boundary using Q_(1)-1.5*IQR. Calculate an upper boundary using Q_(3)+1.5*IQR. (Note that 1.5*IQR means 1.5 times the IQR.) (d) Any values less than the lower boundary or greater than the upper boundary are considered outliers. Identify all the outliers of the data set. If there is more than one outlier, separate them with commas. If there are no outliers, click "None". The following numbers of people attended the last 10 screenings of a movie. 196,197,197,198,199,207,208,210,211,292 Complete the parts below to identify any outliers. aLet be the lower quartile and be the upper quartile of the data set.Find and for the data set. =197 3=210.5 X 5 bFind the interquartile range(IQR of the data set. IQR=13.5 X cCalculate a lower boundary using -1.5-IQR.Calculate an upper boundary using +1.5-IQR.(Note that 1.5-IQR means 1.5 times the IQR. Lower boundary:197 Upper boundary:22 X 5 is more than one outlier,separate them with commas.If there are no outliers,click"None" Outliers:292 0,0.... None X 5
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Danielle Fairburn
Kathleen Carty verified

David Nguyen and 72 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-five-number-summary-for-the-total-revenue-in-milions-of-dollars-of-the-top-125-movies-of-a-certain-year-is-shown-below-min-q1-med-03-max-349-427-657-1096-5705-are-there-any-outliers-in-t-85692

The five-number summary for the total revenue (in millions of dollars) of the top 125 movies of a certain year is shown below. Min Q1 Med Q3 Max 34.9 42.7 65.7 109.6 570.5 Are there any outliers in these data? Explain. What might your next steps in the analysis be? Are there any outliers in these data? Explain. Choose the correct answer below. A. No; both the maximum and minimum are within the lower and upper outlier limits. B. Yes; the minimum is an outlier, but the maximum is not. C. Yes; both the maximum and the minimum are outliers. D. Yes; the maximum is an outlier, but the minimum is not. What might your next steps in the analysis be? A. Because there is an outlier within the data, the next step is to look at a boxplot to know how to proceed. B. The data set does not contain any outliers, so the analysis is complete. C. Remove both the minimum and maximum from the data set and calculate the new minimum and maximum. D. Recalculate the median and quartiles so that all outliers fit within the maximum and minimum limits.

David N.

some-data-sets-include-values-so-high-or-so-low-that-they-seem-to-stand-apart-from-the-rest-of-the-2

Some data sets include values so high or so low that they seem to stand apart from the rest of the data. These data are called outliers. Outliers may represent data collection errors, data entry errors, or simply valid but unusual data values. It is important to identify outliers in the data set and examine the outliers carefully to determine if they are in error. One way to detect outliers is to use a box-and-whisker plot. Data values that fall beyond the limits, Lower limit: $Q_{1}-1.5 \times(I Q R)$ Upper limit: $Q_{3}+1.5 \times(I Q R)$ where $I Q R$ is the interquartile range, are suspected outliers. In the computer software package Minitab, values beyond these limits are plotted with asterisks (*). Students from a statistics class were asked to record their heights in inches. The heights (as recorded) were $$\begin{array}{llllllllllll} 65 & 72 & 68 & 64 & 60 & 55 & 73 & 71 & 52 & 63 & 61 & 74 \\ 69 & 67 & 74 & 50 & 4 & 75 & 67 & 62 & 66 & 80 & 64 & 65 \end{array}$$ a. Make a box-and-whisker plot of the data. b. Find the value of the interquartile range (IQR). c. Multiply the IQR by 1.5 and find the lower and upper limits. d. Are there any data values below the lower limit? Above the upper limit? List any suspected outliers. What might be some explanations for the outliers?

Understandable Statistics Concepts and Methods

Averages and Variation

Percentiles and Box-and-Whisker Plots

the-ten-top-grossing-movies-of-a-certain-film-studio-are-shown-in-millions-of-dollars-complete-parts-a-and-b-below-movie-millions-a-440-b-414-c-335-d-298-e-285-f-250-g-218-h-209-i-204-j-191-49186

The ten top-grossing movies of a certain film studio are shown, in millions of dollars. Complete parts a and b below. Movie $Millions A 440 B 414 C 335 D 298 E 285 F 250 G 218 H 209 I 204 J 191 a. Find and interpret the median box office dollars for the ten top-grossing movies of this studio. The median of this data set is = (Type an integer or a decimal. Do not round.) Interpret the median in context. Choose the correct answer below. A. The median of the ten top-grossing movies is the typical income for the ten top-grossing movies. B. The median of the ten top-grossing movies is equal to the average of the ten top-grossing movies. C. The median is the gross income that appears most often in the top ten. D. The median of the ten top-grossing movies suggests that 25% of the ten top-grossing movies made more than the median, and 75% of the top 10 grossing movies made less than the median. b. Find and interpret the interquartile range for these movies. Find the interquartile range. IQR= (Type an integer or a decimal. Do not round.) Interpret the interquartile range in context. Choose the correct answer below. A. The interquartile range shows the difference between the highest grossing movie and the lowest grossing movie. B. The interquartile range is the average of the first 25% of the sorted incomes and the last 25% of the sorted incomes. C. The interquartile range is the difference between the lower 25% of the data and the median. D. The interquartile range is the range of the middle 50% of the sorted incomes of the top ten grossing movies.

Avi Z.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,163 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,082 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,470 solutions

*

Transcript

-
00:01 I am david and i'm here to have your answer your question.
00:03 In the question here we will divide an applier.
00:11 If we will have the first one x will be smaller than the q1, we will minus 1 .5 times in the interquant range.
00:24 And then if you have the x greater than the q3 plus the 1 .5 times in the interquant range.
00:32 Here we are given the data summary for the table.
00:36 Let me bring up the data here.
00:39 And from here, we are given the minimum maximum q1, q3 in the median.
00:44 So first of all, i need to find the interquanta range.
00:47 It will equal to the q3, we minus the q1...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever