Math/Physic/Economic/Statistic Problems
The following data is provided about the number of species spotted in the whole area of a specific reserve and in a specific small forest that is a part of that reserve.
The table below provides a breakdown of the species spotted.
Small Forest (SF)
Name Number
Species 1 0
Species 2 23,228
Species 3 56,252
Species 4 202,913
Species 5 492,103
Species 6 1,701,090
Species 7 1,262,898
Species 8 919,113
Species 9 386,912
Species 10 194,489
Total 5,239,030
Reserve – Whole Area (RW)
Name Number
Species 1 0
Species 2 24,120
Species 3 60,028
Species 4 220,182
Species 5 539,691
Species 6 1,856,706
Species 7 1,377,018
Species 8 1,004,087
Species 9 423,505
Species 10 210,716
Total 5,716,053
Using these data provided answer the following questions:
1.a) Create a table that shows the percentage contribution of each species to the total number spotted for the Reserve as a whole (RW) (e.g species X accounts for 3.71% of the total RW species number).
b) Create a table that shows the percentage contribution of each species to the total numbers spotted for SF (two decimal points needed).
c) Compare which species contribute more to the total numbers of species in RW and compare them the ones for SF?
2. Create a new data set that will include the values for the species spotted in RW but not in the SF area.
Create a table like the ones provided with these new data set and name it ORA (other reserve areas), and calculate the percentage contributions as in question 1.
3. Find the minimum, maximum, range, median and mean average for RW, ORA and SF data sets (not for the percentages worked in question 1 but for the absolute values like the ones given in the original tables and the one you calculate in question 2). Compare the mean average of the three groups. What do you notice?
4. Create three different graphs for the 3 different data sets (RW, ORA and SF) showing the Species name on x-axis and the number spotted on y-axis.
Create a combined graph showing the Species on x-axis and the number spotted on y-axis for all data sets. Which one do you find more useful and why is that?
5. Find the variance, standard deviation and standard error, skewness and kurtosis for RW, ORA and SF data sets. Describe and compare the skewness and kurtosis for the three data sets. What do you notice?