Specific Directions for Capstone Assessment • Refer to this problem. The set of questions will be based on this problem. Make sure to secure a copy before proceeding with the questions. The following data shows the occurrence of sodium and chloride in a certain island. The table below shows the chloride concentration (y) in milligrams per liter and roadway area in the watershed (x) in percentage. I 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 x(% of roadway area) y (chloride concentration mm/L 0.1900 0.7000 4.4000 10.6000 04700 11.8000 0.7800 14.7000 0.6900 10600 0.1500 0.6700 0.7000 0.8100 0.1300 1.7400 0.5700 0.6300 0.6000 0.7800 1.0500 1.6200 1.1500 1.0000 19.2000 27.7000 66000 10.8000 12.1000 15.0000 3.1000 31.8000 9.7000 10.9000 14.3000 17.3000 27.4000 39.5000 28.0400 26.1000

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...