Measures of Dispersion 1 Range the range of
- Slides: 5
Measures of Dispersion 1 - Range: the range of any data is the difference between the largest and smallest values. 2 - Variance: If we have a (n) of numbers and the values of these data are (X 1, X 2, X 3, X 4, . . . , Xn), then the variance becomes: If the data are given in a frequency distribution form the arithmetic mean becomes
3 - Standard deviation: If we have a (n) of numbers and the values of these data are (X 1, X 2, X 3, X 4, . . . , Xn), then the variance becomes: If the data are given in a frequency distribution form the arithmetic mean becomes 4 - The mean deviation: If we have a (n) of numbers and the values of these data are (X 1, X 2, X 3, X 4, . . . , Xn), then the mean deviation becomes:
If the data are given in a frequency distribution form the arithmetic mean becomes 5 - Coefficient of Variation: 6 - Coefficient of Quartile Variation: 7 - Measures of Skewness:
The second law of skewness measurement is: Where: m 3 is the third moment of data about the mathematical mean S 3 the cubic of standard deviation. If we have a (n) of numbers and the values of these data are (X 1, X 2, X 3, X 4, . . . , Xn), then the moment of data about mathematical mean becomes: If the data are given in a frequency distribution form the arithmetic mean becomes 8 - Quartile Coefficient of Skewness:
9 - Percentile Coefficient of Skewness: 10 - Kurtosis: Is the measurement of apex height degree in the normal distribution curve or the degree of curvature surfacing. a) The percentile Coefficient of kurtosis: b) Moment Coefficient of kurtosis:
