Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q 3.75. (page 114)

Determine the age and sample standard deviation for each of the due sets. For the sample standard deviation round each answer to one more decimal place than that used for the observation.

Billionaires' Club, Each year, Forbes magazine compiles a list of the 400richest Americans. As of September 19, . the top 10 on the list areas in the following table.

Short Answer

Expert verified

Range of the data=$41.0billions

Standard deviation of the data=$13.00billions

Step by step solution

01

Step 1. Given information. 

We have given data: 66.0, 46.0, 41.0, 31.0, 31.0, 27.9, 26.8, 26.3, 26.1, 25.0

02

Step 2. To find range of the data. 

Range=Max.value-Min.value=66.0-25.0=41.0

03

Step 3. To find mean of the data.

Mean=SumofobservationNumberofobservation=66.0+46.0+41.0+31.0+31.0+27.9+26.8+26.3+26.1+25.010=347.110=34.71

04

Step 4. To find standard deviation of the data. 

x
x-x
x-x2
664641313127.926.826.326.125
31.2911.296.29-3.71-3.71-6.81-7.91-8.41-8.61-9.71
979.06127.4639.5613.7613.7646.3862.5770.7374.1394.28

Standarddevaiation=∑x-x2n-1=1521.7110-1=1521.719=169.08=13

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

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 (mm), 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 1902and used by L.H.C. Tippett in his text The Methods of States (New York Wiley, 1952. p. 176). 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.

The data set has mean 30and standard deviation4 . Approximately what percentage of the observations lie between 22and 38?

We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:

a) Mean

b)Median

c) Mode.

The given data set is:4,2,0,2,2.

What does Chebyshev's rule say about the percentage of observations that lie within one standard deviation to either side of the mean? Discuss your answer.

In Exercises 3.201-3.206, we have provided simple data sets for you to practice the basics of finding a

a. population mean

b. population standard deviation

3.2054,2,0,2,2
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free