Table of Contents
Continuous Frequency Distribution
A continuous frequency distribution is a type of frequency distribution that shows the number of items in a given category as well as the percentage of items that fall into that category. This type of frequency distribution is often used to show how a population is distributed across a range of values.
Mean Deviation and its Coefficient
of variation
The mean deviation is a measure of dispersion around the mean. It is computed as the sum of the absolute differences between each observation and the mean, divided by the number of observations.
The coefficient of variation is a measure of relative dispersion around the mean. It is computed as the ratio of the mean deviation to the mean.
Mean Deviation For Grouped Data
The mean deviation for grouped data is the average deviation of each data point from the group’s mean. This calculation is used to help determine the variability of a set of data. To calculate the mean deviation for grouped data, you will need to know the mean, the number of data points in each group, and the deviation of each data point from the group’s mean.
Example for Mean Deviation For Grouped Data
The mean deviation for grouped data is the average of the individual deviations from the mean.
To calculate the mean deviation for grouped data, you will need to know the mean, the standard deviation, and the number of groups.
The mean deviation for grouped data is:
MD = (Σx i – x̄) / (n – 1)
Mean Deviation of Continuous Frequency Distribution
The mean deviation of a continuous frequency distribution is the arithmetic mean of the absolute deviations of the individual data points from the mean of the distribution.
So, M.A.D (x̅) = ∑i=1nfi|xi-x̅|= 8325/30 = 277.5
The mean absolute deviation is 277.5.
Standard Deviation Continuous Series Formula
The standard deviation of a continuous series is calculated by taking the average of the squared deviations of the individual data points from the mean.
Formula to Find Mean by Step Deviation Method
The mean by step deviation method is a formula that calculates the mean of a data set by taking the sum of the data set and dividing it by the number of data points minus one. The mean by step deviation method also calculates the standard deviation of the data set by taking the square root of the variance.
Mean Deviation about Mean
The mean deviation about the mean is a measure of how dispersed a set of data points are around the mean. It is calculated by taking the sum of the absolute deviations of each data point from the mean, divided by the number of data points.
Mean Deviation about Median
The mean deviation about median is a measure of how dispersed the data are around the median. It is calculated by taking the average of the absolute values of the differences between each data point and the median.
The mean deviation about median is a measure of how dispersed the data are around the median. It is calculated by taking the average of the absolute values of the differences between each data point and the median.
Mean Deviation about Mode
The mean deviation about mode is a measure of how dispersed the data are around the mode. It is calculated by taking the mean of the absolute deviations of the data from the mode.
