Coefficient of correlation
Range and quartile deviation
Mean deviation
Standard deviation E. Coefficient of variation
Answer is Wrong!
Answer is Right!
The odd one out is A, coefficient of correlation. The other options are all measures of dispersion, which are statistics that measure how spread out a set of data is. The coefficient of correlation is a measure of the strength of the linear relationship between two variables. It is not a measure of dispersion, so it is the odd one out.
Here is a brief explanation of each option:
- Range: The range is the difference between the largest and smallest values in a set of data.
- Quartile deviation: The quartile deviation is a measure of dispersion that is based on the quartiles of a set of data. The quartiles divide the data into four equal parts. The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data. The quartile deviation is the difference between the third and first quartiles.
- Mean deviation: The mean deviation is a measure of dispersion that is based on the mean of a set of data. The mean deviation is the average of the absolute values of the differences between the data points and the mean.
- Standard deviation: The standard deviation is a measure of dispersion that is based on the square root of the variance. The variance is a measure of how spread out the data points are around the mean. The standard deviation is a more robust measure of dispersion than the mean deviation, because it is not as sensitive to outliers.
- Coefficient of variation: The coefficient of variation is a measure of dispersion that is expressed as a percentage. It is calculated by dividing the standard deviation by the mean. The coefficient of variation is a useful measure of dispersion when the units of measurement are different.