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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

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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