Question

Compare ‘all data’ of Maradi and Zinder using a histogram. Do both regions have the same distribution? If they are different, how are they different? Explain your answer using modality and skewness.Answer using R. You can make your answers using # for commands in the R script.
GW_All_Maradi

XCoor	YCoor	Water Depth (m)
7.009722	14.63611	44.19
8.110833	13.83306	38.12
7.674445	13.40667	83.29
7.686389	13.36861	90.58
7.705555	13.38583	73.65
7.723889	13.40278	59.33
7.724444	13.39583	55.87
7.741667	13.50806	46.87
7.509444	13.84056	63.4
7.617778	13.34333	87.3
7.628056	13.39444	61.39
7.694167	13.31083	65.67
7.710556	13.32056	69.35
7.755556	13.47111	50.95

GW_Zinder

XCoor	YCoor	GW Depth (m)
8.84	14.15361	52.75
8.898611	14.15889	53.7
8.942778	14.16833	54
8.876389	14.19417	57.85
8.907222	14.09028	61.4
8.9225	14.11444	61.75
8.898611	14.15889	54
8.942778	14.16833	55.3
8.84	14.15361	57.7
8.876389	14.19417	57.9
8.9225	14.11444	59.25
8.907222	14.09028	61.5
8.84	14.15361	52.3
8.898611	14.15889	54.9

Answer 1

Both have different distribution. One has modality and the other has skewness.

Skewed Distribution-The skewed distribution is asymmetrical because a natural limit prevents outcomes on one side. The distribution’s peak is off center toward the limit and a tail stretches away from it. For example, a distribution of analyses of a very pure product would be skewed, because the product cannot be more than 100 percent pure. Other examples of natural limits are holes that cannot be smaller than the diameter of the drill bit or call-handling times that cannot be less than zero. These distributions are called right- or left-skewed according to the direction of the tail.

Modality-The modality of a distribution is determined by the number of peaks it contains. Most distributions have only one peak but it is possible that you encounter distributions with two or more peaks.

Also R = largest value-smallest value