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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

Find the mean.

Find the mean.

Algebra and Trigonometry: Structure and Method, Book 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 15.2, Problem 15WE

a.

To determine

Find the mean.

a.

Expert Solution

Answer to Problem 15WE

71

Explanation of Solution

Given information:

67,69,70,70,71,72,73,73,and,74.

Calculation:

The mean is the average of the numbers.

Mean=67+69+70+70+71+72+73+73+749=71

Hence, the mean is 71 .

b.

To determine

Find the variance.

b.

Expert Solution

Answer to Problem 15WE

4.4

Explanation of Solution

Given information:

67,69,70,70,71,72,73,73,and,74.

Calculation:

Suppose x1,x2,......,xn are n numbers and M is their mean, then the variance of the distribution is

(x1−M)2+(x2−M)2+........+(xn−M)2n

Substitute for x1,x2,......,xn and 71 for M in the formula.

(67−71)2+(69−71)2+(70−712)+(71−71)2+(72−71)2+(73−71)2+(73−71)2+(74−71)29 Simplify,

(−4)2+(−2)2+(−1)2+(−1)2+02+12+22+22+329=16+4+1+1+0+1+4+4+99

=409=4.444444444

Approximate the value to nearest tenth.

4.444444444≈4.4

Hence, the variance of the given distribution is about 4.4 .

c.

To determine

Find the standard deviation.

c.

Expert Solution

Answer to Problem 15WE

2.1

Explanation of Solution

Given information:

67,69,70,70,71,72,73,73,and,74.

Calculation:

The standard deviation (σ) of a distribution is the principal square root of the variance.

σ=variance

Substitute 4.4 for variance in the equation and simplify.

σ=4.4=2.097617696

Approximate the value to nearest tenth.

2.097617696≈2.1

Hence, the standard deviation of the given distribution is about 2.1 .

Chapter 15.2, Problem 14WE

Chapter 15.2, Problem 16WE

Chapter 15 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 15.1 - Prob. 1OE Ch. 15.1 - Prob. 2OE Ch. 15.1 - Prob. 3OE Ch. 15.1 - Prob. 4OE Ch. 15.1 - Prob. 5OE Ch. 15.1 - Prob. 6OE Ch. 15.1 - Prob. 7OE Ch. 15.1 - Prob. 8OE Ch. 15.1 - Prob. 1WE Ch. 15.1 - Prob. 2WE

Ch. 15.1 - Prob. 3WE Ch. 15.1 - Prob. 4WE Ch. 15.1 - Prob. 5WE Ch. 15.1 - Prob. 6WE Ch. 15.1 - Prob. 7WE Ch. 15.1 - Prob. 8WE Ch. 15.1 - Prob. 9WE Ch. 15.1 - Prob. 10WE Ch. 15.1 - Prob. 11WE Ch. 15.1 - Prob. 12WE Ch. 15.1 - Prob. 13WE Ch. 15.1 - Prob. 14WE Ch. 15.1 - Prob. 15WE Ch. 15.1 - Prob. 16WE Ch. 15.1 - Prob. 17WE Ch. 15.1 - Prob. 18WE Ch. 15.1 - Prob. 1MRE Ch. 15.1 - Prob. 2MRE Ch. 15.1 - Prob. 3MRE Ch. 15.1 - Prob. 4MRE Ch. 15.1 - Prob. 5MRE Ch. 15.1 - Prob. 6MRE Ch. 15.2 - Prob. 1OE Ch. 15.2 - Prob. 2OE Ch. 15.2 - Prob. 3OE Ch. 15.2 - Prob. 4OE Ch. 15.2 - Prob. 5OE Ch. 15.2 - Prob. 6OE Ch. 15.2 - Prob. 7OE Ch. 15.2 - Prob. 8OE Ch. 15.2 - Prob. 9OE Ch. 15.2 - Prob. 10OE Ch. 15.2 - Prob. 11OE Ch. 15.2 - Prob. 12OE Ch. 15.2 - Prob. 13OE Ch. 15.2 - Prob. 14OE Ch. 15.2 - Prob. 1WE Ch. 15.2 - Prob. 2WE Ch. 15.2 - Prob. 3WE Ch. 15.2 - Prob. 4WE Ch. 15.2 - Prob. 5WE Ch. 15.2 - Prob. 6WE Ch. 15.2 - Prob. 7WE Ch. 15.2 - Prob. 8WE Ch. 15.2 - Prob. 9WE Ch. 15.2 - Prob. 10WE Ch. 15.2 - Prob. 11WE Ch. 15.2 - Prob. 12WE Ch. 15.2 - Prob. 13WE Ch. 15.2 - Prob. 14WE Ch. 15.2 - Prob. 15WE Ch. 15.2 - Prob. 16WE Ch. 15.2 - Prob. 17WE Ch. 15.2 - Prob. 18WE Ch. 15.2 - Prob. 19WE Ch. 15.2 - Prob. 20WE Ch. 15.3 - Prob. 1OE Ch. 15.3 - Prob. 2OE Ch. 15.3 - Prob. 3OE Ch. 15.3 - Prob. 4OE Ch. 15.3 - Prob. 5OE Ch. 15.3 - Prob. 6OE Ch. 15.3 - Prob. 1WE Ch. 15.3 - Prob. 2WE Ch. 15.3 - Prob. 3WE Ch. 15.3 - Prob. 4WE Ch. 15.3 - Prob. 5WE Ch. 15.3 - Prob. 6WE Ch. 15.3 - Prob. 7WE Ch. 15.3 - Prob. 8WE Ch. 15.3 - Prob. 9WE Ch. 15.3 - Prob. 10WE Ch. 15.3 - Prob. 11WE Ch. 15.3 - Prob. 12WE Ch. 15.3 - Prob. 1MRE Ch. 15.3 - Prob. 2MRE Ch. 15.3 - Prob. 3MRE Ch. 15.3 - Prob. 4MRE Ch. 15.3 - Prob. 5MRE Ch. 15.3 - Prob. 6MRE Ch. 15.4 - Prob. 1OE Ch. 15.4 - Prob. 2OE Ch. 15.4 - Prob. 3OE Ch. 15.4 - Prob. 1WE Ch. 15.4 - Prob. 2WE Ch. 15.4 - Prob. 3WE Ch. 15.4 - Prob. 4WE Ch. 15.4 - Prob. 5WE Ch. 15.4 - Prob. 6WE Ch. 15.4 - Prob. 7WE Ch. 15.4 - Prob. 8WE Ch. 15.4 - Prob. 9WE Ch. 15.4 - Prob. 10WE Ch. 15.4 - Prob. 11WE Ch. 15.4 - Prob. 12WE Ch. 15.4 - Prob. 13WE Ch. 15.4 - Prob. 1ST Ch. 15.4 - Prob. 2ST Ch. 15.4 - Prob. 3ST Ch. 15.4 - Prob. 4ST Ch. 15.4 - Prob. 5ST Ch. 15.4 - Prob. 6ST Ch. 15.5 - Prob. 1OE Ch. 15.5 - Prob. 2OE Ch. 15.5 - Prob. 3OE Ch. 15.5 - Prob. 4OE Ch. 15.5 - Prob. 1WE Ch. 15.5 - Prob. 2WE Ch. 15.5 - Prob. 3WE Ch. 15.5 - Prob. 4WE Ch. 15.5 - Prob. 5WE Ch. 15.5 - Prob. 6WE Ch. 15.5 - Prob. 7WE Ch. 15.5 - Prob. 8WE Ch. 15.5 - Prob. 9WE Ch. 15.5 - Prob. 10WE Ch. 15.5 - Prob. 11WE Ch. 15.5 - Prob. 12WE Ch. 15.5 - Prob. 13WE Ch. 15.5 - Prob. 14WE Ch. 15.5 - Prob. 15WE Ch. 15.5 - Prob. 16WE Ch. 15.5 - Prob. 17WE Ch. 15.5 - Prob. 18WE Ch. 15.5 - Prob. 19WE Ch. 15.5 - Prob. 20WE Ch. 15.5 - Prob. 1MRE Ch. 15.5 - Prob. 2MRE Ch. 15.5 - Prob. 3MRE Ch. 15.5 - Prob. 4MRE Ch. 15.5 - Prob. 5MRE Ch. 15.5 - Prob. 6MRE Ch. 15.5 - Prob. 7MRE Ch. 15.5 - Prob. 8MRE Ch. 15.6 - Prob. 1OE Ch. 15.6 - Prob. 2OE Ch. 15.6 - Prob. 3OE Ch. 15.6 - Prob. 4OE Ch. 15.6 - Prob. 5OE Ch. 15.6 - Prob. 6OE Ch. 15.6 - Prob. 7OE Ch. 15.6 - Prob. 8OE Ch. 15.6 - Prob. 9OE Ch. 15.6 - Prob. 10OE Ch. 15.6 - Prob. 11OE Ch. 15.6 - Prob. 12OE Ch. 15.6 - Prob. 1WE Ch. 15.6 - Prob. 2WE Ch. 15.6 - Prob. 3WE Ch. 15.6 - Prob. 4WE Ch. 15.6 - Prob. 5WE Ch. 15.6 - Prob. 6WE Ch. 15.6 - Prob. 7WE Ch. 15.6 - Prob. 8WE Ch. 15.6 - Prob. 9WE Ch. 15.6 - Prob. 10WE Ch. 15.6 - Prob. 11WE Ch. 15.6 - Prob. 12WE Ch. 15.6 - Prob. 13WE Ch. 15.6 - Prob. 14WE Ch. 15.6 - Prob. 15WE Ch. 15.6 - Prob. 16WE Ch. 15.6 - Prob. 17WE Ch. 15.6 - Prob. 18WE Ch. 15.6 - Prob. 19WE Ch. 15.6 - Prob. 20WE Ch. 15.6 - Prob. 21WE Ch. 15.6 - Prob. 22WE Ch. 15.6 - Prob. 23WE Ch. 15.6 - Prob. 24WE Ch. 15.6 - Prob. 25WE Ch. 15.6 - Prob. 26WE Ch. 15.6 - Prob. 27WE Ch. 15.6 - Prob. 28WE Ch. 15.6 - Prob. 29WE Ch. 15.6 - Prob. 30WE Ch. 15.6 - Prob. 31WE Ch. 15.7 - Prob. 1OE Ch. 15.7 - Prob. 2OE Ch. 15.7 - Prob. 3OE Ch. 15.7 - Prob. 4OE Ch. 15.7 - Prob. 5OE Ch. 15.7 - Prob. 6OE Ch. 15.7 - Prob. 7OE Ch. 15.7 - Prob. 1WE Ch. 15.7 - Prob. 2WE Ch. 15.7 - Prob. 3WE Ch. 15.7 - Prob. 4WE Ch. 15.7 - Prob. 5WE Ch. 15.7 - Prob. 6WE Ch. 15.7 - Prob. 7WE Ch. 15.7 - Prob. 8WE Ch. 15.7 - Prob. 9WE Ch. 15.7 - Prob. 10WE Ch. 15.7 - Prob. 11WE Ch. 15.7 - Prob. 12WE Ch. 15.7 - Prob. 13WE Ch. 15.7 - Prob. 14WE Ch. 15.7 - Prob. 15WE Ch. 15.7 - Prob. 16WE Ch. 15.7 - Prob. 17WE Ch. 15.7 - Prob. 18WE Ch. 15.7 - Prob. 19WE Ch. 15.7 - Prob. 20WE Ch. 15.7 - Prob. 21WE Ch. 15.7 - Prob. 22WE Ch. 15.7 - Prob. 23WE Ch. 15.7 - Prob. 24WE Ch. 15.7 - Prob. 25WE Ch. 15.7 - Prob. 26WE Ch. 15.7 - Prob. 27WE Ch. 15.7 - Prob. 28WE Ch. 15.7 - Prob. 29WE Ch. 15.7 - Prob. 30WE Ch. 15.7 - Prob. 1MRE Ch. 15.7 - Prob. 2MRE Ch. 15.7 - Prob. 3MRE Ch. 15.7 - Prob. 4MRE Ch. 15.7 - Prob. 5MRE Ch. 15.7 - Prob. 6MRE Ch. 15.7 - Prob. 7MRE Ch. 15.7 - Prob. 8MRE Ch. 15.7 - Prob. 9MRE Ch. 15.7 - Prob. 10MRE Ch. 15.7 - Prob. 11MRE Ch. 15.7 - Prob. 12MRE Ch. 15.7 - Prob. 1CE Ch. 15.7 - Prob. 2CE Ch. 15.7 - Prob. 3CE Ch. 15.7 - Prob. 4CE Ch. 15.7 - Prob. 5CE Ch. 15.7 - Prob. 1ST Ch. 15.7 - Prob. 2ST Ch. 15.7 - Prob. 3ST Ch. 15.7 - Prob. 4ST Ch. 15.7 - Prob. 5ST Ch. 15.7 - Prob. 6ST Ch. 15.8 - Prob. 1OE Ch. 15.8 - Prob. 2OE Ch. 15.8 - Prob. 1WE Ch. 15.8 - Prob. 2WE Ch. 15.8 - Prob. 3WE Ch. 15.8 - Prob. 4WE Ch. 15.8 - Prob. 5WE Ch. 15.8 - Prob. 6WE Ch. 15.8 - Prob. 7WE Ch. 15.8 - Prob. 8WE Ch. 15.8 - Prob. 9WE Ch. 15.8 - Prob. 10WE Ch. 15.8 - Prob. 11WE Ch. 15.8 - Prob. 12WE Ch. 15.8 - Prob. 13WE Ch. 15.8 - Prob. 14WE Ch. 15.8 - Prob. 15WE Ch. 15.8 - Prob. 16WE Ch. 15.9 - Prob. 1OE Ch. 15.9 - Prob. 2OE Ch. 15.9 - Prob. 3OE Ch. 15.9 - Prob. 4OE Ch. 15.9 - Prob. 5OE Ch. 15.9 - Prob. 6OE Ch. 15.9 - Prob. 7OE Ch. 15.9 - Prob. 8OE Ch. 15.9 - Prob. 9OE Ch. 15.9 - Prob. 10OE Ch. 15.9 - Prob. 11OE Ch. 15.9 - Prob. 1WE Ch. 15.9 - Prob. 2WE Ch. 15.9 - Prob. 3WE Ch. 15.9 - Prob. 4WE Ch. 15.9 - Prob. 5WE Ch. 15.9 - Prob. 6WE Ch. 15.9 - Prob. 7WE Ch. 15.9 - Prob. 8WE Ch. 15.9 - Prob. 9WE Ch. 15.9 - Prob. 10WE Ch. 15.9 - Prob. 11WE Ch. 15.9 - Prob. 12WE Ch. 15.9 - Prob. 13WE Ch. 15.9 - Prob. 14WE Ch. 15.9 - Prob. 1MRE Ch. 15.9 - Prob. 2MRE Ch. 15.9 - Prob. 3MRE Ch. 15.9 - Prob. 4MRE Ch. 15.9 - Prob. 5MRE Ch. 15.9 - Prob. 6MRE Ch. 15.9 - Prob. 7MRE Ch. 15.9 - Prob. 8MRE Ch. 15.9 - Prob. 1CE Ch. 15.9 - Prob. 2CE Ch. 15.9 - Prob. 3CE Ch. 15.9 - Prob. 4CE Ch. 15.9 - Prob. 5CE Ch. 15.9 - Prob. 6CE Ch. 15.9 - Prob. 1.1E Ch. 15.9 - Prob. 1.2E Ch. 15.9 - Prob. 1.3E Ch. 15.9 - Prob. 1.4E Ch. 15.9 - Prob. 1.5E Ch. 15.9 - Prob. 1.6E Ch. 15.9 - Prob. 2.1E Ch. 15.9 - Prob. 2.2E Ch. 15.9 - Prob. 2.3E Ch. 15.9 - Prob. 2.4E Ch. 15.9 - Prob. 2.5E Ch. 15.9 - Prob. 2.6E Ch. 15.9 - Prob. 2.7E Ch. 15.9 - Prob. 2.8E Ch. 15.10 - Prob. 1OE Ch. 15.10 - Prob. 2OE Ch. 15.10 - Prob. 3OE Ch. 15.10 - Prob. 4OE Ch. 15.10 - Prob. 5OE Ch. 15.10 - Prob. 1WE Ch. 15.10 - Prob. 2WE Ch. 15.10 - Prob. 3WE Ch. 15.10 - Prob. 4WE Ch. 15.10 - Prob. 5WE Ch. 15.10 - Prob. 6WE Ch. 15.10 - Prob. 7WE Ch. 15.10 - Prob. 8WE Ch. 15.10 - Prob. 9WE Ch. 15.10 - Prob. 10WE Ch. 15.10 - Prob. 11WE Ch. 15.10 - Prob. 12WE Ch. 15.10 - Prob. 13WE Ch. 15.10 - Prob. 14WE Ch. 15.10 - Prob. 15WE Ch. 15.10 - Prob. 16WE Ch. 15.10 - Prob. 17WE Ch. 15.10 - Prob. 1ST Ch. 15.10 - Prob. 2ST Ch. 15.10 - Prob. 3ST Ch. 15.10 - Prob. 1E Ch. 15.10 - Prob. 2E Ch. 15 - Prob. 1CR Ch. 15 - Prob. 2CR Ch. 15 - Prob. 3CR Ch. 15 - Prob. 4CR Ch. 15 - Prob. 5CR Ch. 15 - Prob. 6CR Ch. 15 - Prob. 7CR Ch. 15 - Prob. 8CR Ch. 15 - Prob. 9CR Ch. 15 - Prob. 10CR Ch. 15 - Prob. 11CR Ch. 15 - Prob. 12CR Ch. 15 - Prob. 1CT Ch. 15 - Prob. 2CT Ch. 15 - Prob. 3CT Ch. 15 - Prob. 4CT Ch. 15 - Prob. 5CT Ch. 15 - Prob. 6CT Ch. 15 - Prob. 7CT Ch. 15 - Prob. 8CT Ch. 15 - Prob. 9CT Ch. 15 - Prob. 10CT Ch. 15 - Prob. 11CT

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