EXERCISE NO. 1 The concentration of suspended solids in river water is important an environmental characteristic. The paper “ Water Quality in Agricultural Watershed: Impact of Riparian Vegetation During Base Flow" reported on concentration (in parts per million, or ppm) for several different rivers. Suppose the following 50 observations had been obtained for a particular river. 55.8 42.3 60.9 37.0 91.3 65.8 33.8 39.1 60.6 35.5 61.5 76.0 69.0 45.9 56.0 47.2 44.6 71.7 61.2 40.0 74.5 83.2 31.7 36.7 62.3 43.7 94.6 71.4 56.3 30.0 68.2 75.3 65.2 78.8 59.1 27.1 52.6 58.2 48.0 61.8 39.8 65.0 60.7 77.1 49.5 69.3 69.8 64.9 87.1 66.3
EXERCISE NO. 1 The concentration of suspended solids in river water is important an environmental characteristic. The paper “ Water Quality in Agricultural Watershed: Impact of Riparian Vegetation During Base Flow" reported on concentration (in parts per million, or ppm) for several different rivers. Suppose the following 50 observations had been obtained for a particular river. 55.8 42.3 60.9 37.0 91.3 65.8 33.8 39.1 60.6 35.5 61.5 76.0 69.0 45.9 56.0 47.2 44.6 71.7 61.2 40.0 74.5 83.2 31.7 36.7 62.3 43.7 94.6 71.4 56.3 30.0 68.2 75.3 65.2 78.8 59.1 27.1 52.6 58.2 48.0 61.8 39.8 65.0 60.7 77.1 49.5 69.3 69.8 64.9 87.1 66.3
EXERCISE NO. 1 The concentration of suspended solids in river water is important an environmental characteristic. The paper “ Water Quality in Agricultural Watershed: Impact of Riparian Vegetation During Base Flow" reported on concentration (in parts per million, or ppm) for several different rivers. Suppose the following 50 observations had been obtained for a particular river. 55.8 42.3 60.9 37.0 91.3 65.8 33.8 39.1 60.6 35.5 61.5 76.0 69.0 45.9 56.0 47.2 44.6 71.7 61.2 40.0 74.5 83.2 31.7 36.7 62.3 43.7 94.6 71.4 56.3 30.0 68.2 75.3 65.2 78.8 59.1 27.1 52.6 58.2 48.0 61.8 39.8 65.0 60.7 77.1 49.5 69.3 69.8 64.9 87.1 66.3
Calculate the Mean, Median, and Modeof the given data. (Apply the grouped data method for this activity).
Transcribed Image Text:EXERCISE NO. 1
The
concentration
of suspended solids
in river
water is an
important
environmental characteristic. The paper “ Water Quality in Agricultural Watershed:
Impact of Riparian Vegetation During Base Flow" reported on concentration (in parts per
million, or ppm) for several different rivers. Suppose the following S0 observations had
been obtained for a particular river.
55.8
42.3
45.9
60.9
33.8
37.0
91.3
65.8
60.6
76.0
69.0
39.1
35.5
56.0
44.6
71.7
61.2
61.5
47.2
36.7
30.0
52.6
74.5
83.2
40.0
94.6
71.4
61.8
77.1
64.9
31.7
62.3
43.7
75.3
56.3
68.2
58.2
65.0
69.3
65.2
48.0
78.8
39.8
60.7
59.1
49.5
69.8
27.1
87.1
66.3
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 + ...
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