Chapter A1, Problem A1.2QAP

Interpretation Introduction

(a)

Interpretation:

The absolute error for the mean of each set is to be determined for following data.

A	B	C	D
61.45	3.27	12.06	2.7
61.53	3.26	12.14	2.4
61.32	3.24		2.6
	3.24		2.9
	3.28
	3.23

The accepted value for the sets are A= 61.71, B = 3.28, C= 12.23, D = 2.75

Concept introduction:

The following formula will be used for the calculation of the absolute error for the mean-

$E=\overline{x}-x_1$

Where,

$\overline{x}$ = mean

$x_1$ = accepted value

Also,

$\overline{x}=\frac{A_1+A_2\mathrm{.........}+A_n}{n}$

Interpretation Introduction

(b)

Interpretation:

The percent relative error of each mean is to be determined.

Concept introduction:

The following formula will be used for the calculation of the percentage of relative error for the mean-

$E_r=\frac{\overline{x}-x_1}{x_1}\times 100$

Where,

$\overline{x}$ = mean

$x_1$ = accepted value

Also,

$E=\overline{x}-x_1$