Q.3.69. In Exercises 3.65-3.70, we have ... [FREE SOLUTION]

91影视

Chapter 3: Q.3.69. (page 113)

In Exercises $3.65 - 3.70$ , we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.
a) Range
b) sample standard deviation
$1, 9, 8, 4, 3$

Short Answer

Expert verified

$a) R a n g e = 8 b) s a m p l e s \tan d a r d d e v i a t i o n =$ $3.39$

Step by step solution

Step 1. Given information.

We have given data : 1,9,8,4,3

Step 2. Range of the data.

$R a n g e = M a x . v a l u e - M i n . v a l u e R a n g e = 9 - 1 R a n g e = 8$

Step 3. Mean of the data.

$s = \sqrt{\frac{\underset{}{鈭�} {x - x)^{2}}{n - 1}} M e a n, x = \frac{\underset{}{鈭�} x}{n} M e a n = \frac{1 + 9 + 8 + 4 + 3}{5} M e a n = \frac{25}{5} M e a n = 5 s a m p i e s i z e, n = 5$

Step 4. Standard deviation of the data.

Variable $x$	Deviation from mean $x - x$	Squared deviation ${(x - x)}^{2}$
$1 9 8 4 3$	$- 4 4 3 - 1 - 2$	$16 16 9 1 4 46$

Thus, the standard deviation is

$s = \sqrt{\frac{\underset{}{鈭�} {(x - x)}^{2}}{n - 1}} = \sqrt{\frac{46}{5 - 1}} = \sqrt{11.5} = 3.39$

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

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

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In Exercises $3.65 - 3.70$ , we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.
a) Range
b) sample standard deviation
$1, 9, 8, 4, 3$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Range of the data.

Step 3. Mean of the data.

Step 4. Standard deviation of the data.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Applied Mathematics

Probability and Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

In Exercises 3.65-3.70, we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.a) Rangeb) sample standard deviation1,9,8,4,3

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Range of the data.

Step 3. Mean of the data.

Step 4. Standard deviation of the data.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Applied Mathematics

Probability and Statistics

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

In Exercises $3.65 - 3.70$ , we have provided simple data sets for you to practice the basics of finding measures of variation . For each data set determine.
a) Range
b) sample standard deviation
$1, 9, 8, 4, 3$