Chapter 32, Problem 32.5QAP

Interpretation Introduction

(a)

Interpretation:

The standard deviation and relative standard deviation for count 100 are to be determined.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

Interpretation Introduction

(b)

Interpretation:

The standard deviation and relative standard deviation for count 850 are to be determined.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

Interpretation Introduction

(c)

Interpretation:

The standard deviation and relative standard deviation for count 8.00×10³ are to be determined.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$

Interpretation Introduction

(d)

Interpretation:

The standard deviation and relative standard deviation for count 4.00×10⁴ are to be determined.

Concept introduction:

The standard deviation can be calculated as follows:

${\sigma }_M=\sqrt{M}$

Also, the relative standard deviation can be calculated as follows:

${\sigma }_R=\frac{{\sigma }_M}{M}$

${\sigma }_R=\frac{\sqrt{M}}{M}$