Measures of Distribution and Central Tendency

Measures of Distribution and Central Tendency of Touristic Landmarks

The averaging location is based on the mathematical calculation of the mean mean for each set of x- and y-coordinates of the sights, while the weighted averaging calculation is based on the same methodology as the mathematically averaging that can be represented by the following equation:

the mathematical calculation

Where the variable X represents the value of the coordinate (abc - y), while the variable W represents the weight of the phenomenon/tourist landmark (the weight coefficient was used in analyzing the cities in which tourist offices are located, where the weight represents the number of tourist offices in those cities), so that the weighted average attracts The arithmetic mean point towards the cities with the greatest weight. By analyzing the average location of the tourist attractions, the mean center is located to the west of the fulcrum of the Kingdom, and then this means that the tourist attractions tend to have a spatial displacement to the west compared to other destinations, specifically the average center is located west of the city of Afif and is separated from it by a distance of 40 km, Which in turn swallows up the Riyadh region As for the central phenomenon (the city central feature), it represents the tourist landmark that achieves the least cumulative distance to other tourist attractions in the Kingdom (as a direct distance, and through spatial analysis, it was found that the central phenomenon point is located at the palace of King Abdul Aziz in Al-Mowaih in the Makkah Al-Mukarramah region. As for the standard distance, assuming that the sites (tourist attractions) are distributed symmetrically over the surface of the Kingdom (normal distribution), then a circle with a value of 1 standard distance is supposed to include 68% of the number of points (centers), and 95% in a circle that represents 2 standard distances and 99% of The points are in three standard distances, and the number of tourist attractions located within 1 standard distance reached 301 parameters out of a total of 484 landmarks for the Ministry of Tourism and Culture, or 62.2% of the landmarks (less than the normal distribution pattern), which indicates that tourist attractions tend to be concentrated far away. from its geometric center, that is, the farther we are from the center of gravity compared to the approach to it, that is, the standard distance reflects the degree of agglomeration and scattering of the pattern. The distribution direction aims to measure the angle of the direction of the distribution density of points and the length of their axes of spread around their average center by drawing the standard deviation ellipse. 2004 AD: 476). The distribution trend reflects the pattern of the distribution of tourist offices in the Kingdom in terms of the direction of the phenomenon, which seems to follow the east-west axis from Dammam in the east to Jeddah in the west, which indicates that tourist offices are also relatively less in the north and south of the Kingdom, and the results of the analysis of the distribution trend can indicate the existence of a clear trend The length of the x axis of the circle is about 687 km, while the length of the y axis is 382 km.