Chapter A1, Problem A1.10QAP

Interpretation Introduction

(a)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$y=(5.75)\left(\pm 0.03\right)+(0.833)\left(\pm 0.001\right)-(8.021)(\pm 0.001)$

=-1.4381

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(b)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$y=(18.97)\left(\pm 0.04\right)+(0.0025)\left(\pm 0.0001\right)+(2.29)(\pm 0.08)$

=21.2625

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(c)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$\begin{array}{l}y=(66.2)\left(\pm 0.03\right)\times \left[(1.13)\left(\pm 0.02\right)\times {10}^{-17}\right]\\ =7.4806\times {10}^{-16}\end{array}$

.

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(d)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$\begin{array}{l}y=(251)\left(\pm 1\right)\times \frac{\left[(860)\times \left(\pm 2\right)\right]}{\left[1.673\times (\pm 0.006)\right]}\\ =129050.70\end{array}$

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(e)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$\begin{array}{l}y=\frac{(157)\left(\pm 6\right)}{1,220(\pm 1)}+\frac{\left[(59)\times \left(\pm 3\right)\right]}{\left[77\times (\pm 8)\right]}\\ =7.5559\times {10}^{-2}\end{array}$

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.

Interpretation Introduction

(f)

Interpretation:

Absolute standard deviation and the coefficient of variation are to be determined for the given data.

$\begin{array}{l}y=\frac{(1.97)\pm \left(0.01\right)}{243\pm 3}\\ =8.106996\times {10}^{-3}\end{array}$

Concept introduction:

The spreading out of numbers is measured by the standard deviation which is symbolized by s. The standard deviation can be calculated by taking the square root of the variance. Relative standard deviation is known as the coefficient of variation represented as cv. It is calculated in percentage. It is calculated as the ratio of standard deviation and the mean.