by kasi | Jun 1, 2010 | Descriptive statistics
An empirical relationship exists between mean, median and mode. For a moderately skewed distribution it is: If a frequency distribution has a symmetrical frequency curve, the mean, median and mode are equal. If a frequency distribution is... by kasi | Jun 1, 2010 | Descriptive statistics
The value which has a higher frequency than others in its neighborhood is called mode. The important characteristic of mode is that, it is easy to compute and may be applied to qualitative as well as quantitative data. It is generally used when the data is of... by kasi | Jun 1, 2010 | Descriptive statistics
When the observations are arranged in ascending or descending order, the value which divides them into two parts is called median. Therefore median is that value below and above which 50% of observations lie. The median is not influenced by extreme values in the data... by kasi | May 31, 2010 | Descriptive statistics
There is a Mathematical relationship between arithmetic mean, geometric mean, and harmonic mean. This relationship is given as: This relationship can be proved with the help of following problem. Problem: Following are the number of students enrolled in... by kasi | May 31, 2010 | Descriptive statistics
The harmonic mean of a set of observations is the reciprocal of the arithmetic mean of the reciprocal of the observations. Harmonic mean is defined only for non-zero positive values and is used for averaging while keeping one variable constant. For example in first... by kasi | May 31, 2010 | Descriptive statistics
Geometric mean is defined only for non-zero positive values. Therefore in order to use geometric mean all the observations must be positive and greater than zero. Since geometric mean has the effect of reducing the influence of large items therefore it is used in the... by kasi | May 31, 2010 | Descriptive statistics
Following are some of the important properties of arithmetic mean, which are elaborated with the help of simple problems. Problem: A researcher conducted a research and got the observations: 50, 60, 65, 75, and 80. Using these observations explain the different... by kasi | May 31, 2010 | Descriptive statistics
If all the values of the data are not equally important, a weighted arithmetic mean is calculated after assigning appropriate weights to the values of the data. The basic difference between arithmetic mean and weighted arithmetic mean is the assignment of weights to... by kasi | May 31, 2010 | Descriptive statistics
In case of frequency distribution the raw data is arranged by intervals having corresponding frequencies. So if we are interested to find the mean of the data having class intervals we must know the variable x. This variable can be obtained by calculating the mid... by kasi | May 31, 2010 | Descriptive statistics
Arithmetic mean is the sum of the values divided by the number of values in the raw data. Arithmetic mean is also called simple mean because of its wide usage as a measure of central tendency. There is slight difference in the formulas in case of population data...