Library Project

Library Project

Introduction

The study relates to the allocation of funds to Ramstein library or Vogelweh library. In the study, KMC commanded that the library with the oldest collection will get the funds; however, in case there is no significant difference in the age of the collections then the funds will be equally divided between both Ramstein library and Vogelweh library.

Overview

For the study, data is gathered from 1972 to 2006 with 7 intervals of 5 years. Data pertaining to the Ramstein library or Vogelweh library indicate age of collections which are normally distributed. In this context, the study aims to find out that whether there is no significant difference in the age of the collections. For this purpose, mean values and standard deviations of both Ramstein library and Vogelweh library are calculated in given part of the study in order to find the significant difference in the age of the collections of both the libraries.

Calculations

Ramstein

x¯

=

7

+

12

+

18

+

23

+

10

+

8

+

9

=

87

=

12.43

7

7

Ramstein

7

7 - 12.43 = - 5.43

- 5.43 ^ 2 = 29.47

12

12 - 12.43 = - 0.43

- 0.43 ^ 2 = 0.18

18

18 - 12.43 = 5.57

5.57 ^ 2 = 31.04

23

23 - 12.43 = 10.57

10.57 ^ 2 = 111.76

10

10 - 12.43 = - 2.43

- 2.43 ^ 2 = 5.90

8

8 - 12.43 = - 4.43

- 4.43 ^ 2 = 19.61

9

9 - 12.43 = - 3.43

- 3.43 ^ 2 = 11.76

Sum

87

209.71

Mean

12.43

Variance = 209.71 / 7 = 29.96

Standard deviation = v 29.96 = 5.47

Coefficient of variation (CV):

CV = Standard Deviation / Mean

= 5.47 / 12.43

= 0.44

Thus, the value of Coefficient of Variation is 0.44

From the above calculation that relates to Ramstein library, it is noted that average age of the collection is 12 years. Moreover, it is also found that the deviation in the age of the collections from the mean value is 5.4.

For metric variables with certain reservations even and some ordinal variables include the initial processing of data calculation of basic characteristics through which the distribution is easy to describe and for comparison with each other. These characteristics of variables can be divided into two groups. The first are variables determining the level or position of a statistical character that is called the mean; moreover, the second is the degree of dispersion or variability in the variables (Comrey and Lee, 2006).

Measures of Central Tendency

Mean

The arithmetic mean is a statistical measure that in some sense expresses a typical value that describes a collection of many values; it means the arithmetic mean includes all observations. The reason of this calculation is that all the observed values ??of the statistical variables are added together and the sum is divided by the number of values ??of n (Bluman, 2012). Moreover, calculating the arithmetic mean can be simplified if we use the two following properties:

If all the values ??(subtracted from the total value) variables arbitrary constant, then the arithmetic mean of the constant increases (decreases).

Multiplies if (divided if) all the values ??of the variables are the non-zero constant, and this constant is multiplied (divided) to the arithmetic ...