A. Mean Deviation
B. Range
C. Standard Deviation
D. Coefficient of Variation
E. Coefficient of Correlation
Choose the correct answer from the options given below:
Identifying Measures of Dispersion
The question asks us to identify which of the given options are measures of dispersion. Measures of dispersion quantify the variability or spread of data points in a dataset.
Analyzing Each Option
- A. Mean Deviation: This is a measure of dispersion. It calculates the average absolute difference between each data point and the mean (or median) of the dataset.
- B. Range: This is a basic measure of dispersion, calculated as the difference between the maximum and minimum values in a dataset.
- C. Standard Deviation: This is a widely used measure of dispersion, indicating how spread out the data points are from their mean. It is the square root of the variance.
- D. Coefficient of Variation: This is a *relative* measure of dispersion, expressed as a percentage. It's calculated by dividing the standard deviation by the mean. It's useful for comparing the degree of variation between datasets with different means.
- E. Coefficient of Correlation: This measures the strength and direction of the *linear relationship* between two variables. It is a measure of association, not dispersion within a single dataset.
Conclusion on Dispersion Measures
Based on the analysis, Mean Deviation (A), Range (B), Standard Deviation (C), and Coefficient of Variation (D) are all considered measures of dispersion. The Coefficient of Correlation (E) is not.
Therefore, the correct set includes A, B, C, and D.
Important Questions from Measures of Dispersion - Teaching
If the probability of winning a match is 0.7, then what is the value of variance ?
- _____ is a measure of dispersion that considers all the scores
- The $90^{th}$ percentile value for the data : 6, 6, 6.5, 7.0, 7.5, 6.5, 6, 7.5 and 8 is :
- Which one is the correct formula for variance ?
Match items of List - I with that of List - II and select the correct option using the codes given below :
List – I List – II (a) Coefficient of variation (i) Square root of the average of the squared deviation measured from mean. (b) Standard deviation (ii) Absolute measure of dispersion around median. (c) Mean deviation (iii) Variation of the distribution adjusted with mean in percentage. (d) Quartile deviation (iv) Average of the absolute deviation of scores from a measure of central tendency. (v) Under root of the squared value of maximum variance from mean. Codes :
