Can you identify the following from this Data Set? Standard Deviation Variance Mean The following table presents a data file that lists the peak discharge from a hydroelectric project in Wisconsin for the years 1957 to 1968. The variable peak discharge has an interval level of measurement. Year Peak Discharge 1957 1,120 1958 2,380 1959 886 1960 1,420 1961 1,480 1962 1,200 1963 657 1964 1,280 1965 1,640 1966 1,280 1967 1,740 1968 1,380
Can you identify the following from this Data Set? Standard Deviation Variance Mean The following table presents a data file that lists the peak discharge from a hydroelectric project in Wisconsin for the years 1957 to 1968. The variable peak discharge has an interval level of measurement. Year Peak Discharge 1957 1,120 1958 2,380 1959 886 1960 1,420 1961 1,480 1962 1,200 1963 657 1964 1,280 1965 1,640 1966 1,280 1967 1,740 1968 1,380
Can you identify the following from this Data Set? Standard Deviation Variance Mean The following table presents a data file that lists the peak discharge from a hydroelectric project in Wisconsin for the years 1957 to 1968. The variable peak discharge has an interval level of measurement. Year Peak Discharge 1957 1,120 1958 2,380 1959 886 1960 1,420 1961 1,480 1962 1,200 1963 657 1964 1,280 1965 1,640 1966 1,280 1967 1,740 1968 1,380
Can you identify the following from this Data Set?
Standard Deviation
Variance
Mean
The following table presents a data file that lists the peak discharge from a hydroelectric project in Wisconsin for the years 1957 to 1968. The variable peak discharge has an interval level of measurement.
YearPeak Discharge
1957 1,120
1958 2,380
1959 886
1960 1,420
1961 1,480
1962 1,200
1963 657
1964 1,280
1965 1,640
1966 1,280
1967 1,740
1968 1,380
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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