Learning Materials
Features
Discover
Chapter 3: Q. 7 (page 151)
Complete the statement: Almost all the observations in any data set lie within _______standard deviations to either side of the mean.
Almost all the observations in any data set lie within three standard deviations to either side of the mean.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
The data set has meanand standard deviation . Approximately what percentage of the observations lie between and ?
Explain why minimum and maximum observations are added to the three quartiles to describe better the variation in a data set.
The cheetah (Acinonyx jubatus) is the fastest land mammal and is highly specialized to run down prey. The cheetah often exceeds speeds of miles per hour (mph) and. according to the online document "Cheetah Conservation in Southern Africa" by J. Urbaniak, the cheetah is capable of speeds up to The following table gives the top speeds, in miles per hour, arranged in increasing order, for a sample of cheetahs.
The sample mean and sample standard deviation of these speeds are and , respectively. A histogram of the speeds is bell shaped.
a. Is it reasonable to apply the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean?
b. Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
c. Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the mean.
d. Compare your answers in parts (b) and (c).
What is another name for the Empirical rule? Why is that name appropriate?
Cuckoo Care. Many species of cuckoos are brood parasites. The females lay their eggs in the nests of smaller bird species, who then raise the young cuckoos at the expense of their own young. Data on the lengths, in millimeters (), of cuckoo eggs found in the nests of three bird species - the Tree Pipit. Hedge Sparrow, and Pied Wagtail - were collected by the late O.M. Latter in and used by L.H.C. Tippett in his text The Methods of States (New York Wiley, . p. ). Use the following boxplots to compare the lengths of cuckoo eggs found in nests of the three bird species, paying special attention to center and variation.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App