
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Topic Video
Question

Transcribed Image Text:### Instructions:
(a) Find the five-number summary, and
(b) draw a box-and-whisker plot of the data.
#### Data Set:
4, 8, 8, 5, 2, 9, 7, 9, 5, 9, 4, 2, 5, 2, 9, 8, 7, 7, 9
#### (a) Minimum:
(Simplify your answer.)
#### Input Box:
Enter your answer in the answer box and then click the "Check Answer" button.
#### Parts Remaining:
5
### Explanation of Graphs:
- No specific graphs or diagrams were depicted in the image; however, the task requires the creation of a "box-and-whisker plot" based on the provided dataset.
- A "box-and-whisker plot" visually represents the data's minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
### Detailed Guide to Plotting:
1. **Order the Data:** Arrange the numbers in ascending order.
- Ordered Data: 2, 2, 2, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9
2. **Find the Minimum and Maximum:**
- Minimum: 2
- Maximum: 9
3. **Calculate the Median (Q2):**
- The middle number in the ordered list, (N+1)/2-th value, where N is the number of observations. For this dataset of 19 values, the median is the 10th value.
- Median: 7
4. **Determine Q1 (First Quartile):**
- The median of the first half of the dataset (excluding the overall median if N is odd). For the first 9 values, Q1 is the 5th value.
- Q1: 4
5. **Determine Q3 (Third Quartile):**
- The median of the second half of the dataset. For the last 9 values, Q3 is the 14th value.
- Q3: 8
6. **Plot the Box-and-Whisker:**
- Draw a number line that includes
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 6 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Two geometry classes with the same number of students took a final exam. The box-and-whisker plots below (sometimes called boxplots) summarize the test scores for each class. Use the box-and-whisker plots to answer the questions. Class A Class B +++ 55 60 65 70 75 80 85 95 Test score (a) Which class had test scores with a larger interquartile range (IQR)? (b) Which class had a smaller range of test scores? (c) Which class had the highest test score? (d) Which class had a higher median test score? 90 'Choose one' 'Choose one' 'Choose one' 'Choose one' ✪ O ✪arrow_forwardHere is a data set: 69 45 33 42 34 61 39 38 42 59 47 41 40 38 54 41 40 40 45 44 63 52 40 38 56 54 32 42 30 43 You are examining the data with a stem-and-leaf plot. Here is the start of the plot. Finish the plot.3# | 023488894# | 000011222345575# | 244696# |arrow_forwardMatch the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram. (a) R2=0.12, (b) R2=0.90, (a) Scatter diagram . (b) Scatter diagram . (c) Scatter diagramarrow_forward
- Use a stem-and-leaf plot to display the data, which represent the thickness (in centimeters) of ice measured at 20 different locations on a frozen lake. Describe any patterns. 5 Determine the leaves in the stem-and-leaf plot below. Key: 313 3.3 Ice Thickness CO 5.8 6.2 6.9 7.2 5.1 4.9 4.7 5.8 7.0 6.8 8.2 7.5 7.2 5.8 7.2 8.0 7.9 6.9 5.9 4.9 7 ...arrow_forward#6. Basic Computation: Five-Number Summary, Interquartile Range 2 5 5 6 7 8 8 9 10 12 (a) Find the low, Q1, Median, Q3, and High. (b) Find the interquartile range (c) Make a box-and-whisker plot.arrow_forwardHere is a data set: 39 55 36 46 24 21 40 57 25 44 23 41 28 35 34 39 45 31 38 23 26 39 31 30 30 34 34 59 34 22 You are examining the data with a stem-and-leaf plot. Here is the start of the plot. Finish the plot. 2# | 12334568 00114444568999 3# 4# | 5# 1 01456arrow_forward
- (a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 38852 9 8 79 5 9 4 2 6 29 8779 (a) Min (Simplify your answer) (Simplify your answer. Do not round.) Q2 (Simplify your answer. Do not round.) Q (Simplify your answer. Do not round.) Max (Simplify your answer.) (b) Choose the correct box-and-whisker plot below. O A. O B. C. O D. Click to select your answer(s).arrow_forwardBased on the box plot, what are the range and ther interquartile range?arrow_forwardI need help solvingarrow_forward
- ← arch 3 (a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 48862987969526298779 E D (a) Min = (Simplify your answer.) Q₁ = Q₂ = Q3= Max= (Simplify your answer.) (b) Choose the correct box-and-whisker plot below. OB. OA. (Simplify your answer. Do not round.) (Simplify your answer. Do not round.) (Simplify your answer. Do not round.) C $ 4 R F O C V % 5 6 B Y F7 & 7 N F8 *** *00 8 OC. 8 F9 M D8 9 K F10 O *- Alt OD. F11 823 AM 70°F Cloudy ^ & 4) 10/11/2022 P F12 Ctri PrtSc Next + 11 Insert PgUp Delete Backsp Homearrow_forward(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 4886298 79 69 5 1 6 298779 (a) Min = 1 (Simplify your answer.) Q₁ = 5.5 (Simplify your answer. Do not round.) Q₂ = 7 (Simplify your answer. Do not round.) Q3 = = 8.5 (Simplify your answer. Do not round.) Max 9 (Simplify your answer.) = (b) Choose the correct box-and-whisker plot below. O A. 3 5 7 9 B. ... AT 1 3 5 7 9 C. 4 6 8 D. + 3 5 7 9arrow_forward(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 3886298 79 69 4 2 6 2 9 8779 D (a) Min = 2 (Simplify your answer.) Q₁ = 5 (Simplify your answer. Do not round.) Q₂ = 7 (Simplify your answer. Do not round.) Q3 = 8.5 (Simplify your answer. Do not round.) Max = 9 (Simplify your answer.) (b) Choose the correct box-and-whisker plot below. O A. 13 5 7 9 Q N *B 2 6 8 Q 2 0 6 8 Q Q N 2 4 6 8 2arrow_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 IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics 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:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction 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