McqMate
| Q. |
If the arithmetic mean is multiplied to coefficient of variation then the resulting value is classified as |
| A. | coefficient of deviation |
| B. | coefficient of mean |
| C. | standard deviation |
| D. | variance |
| Answer» C. standard deviation | |
736
0
Do you find this helpful?
10
View all MCQs in
Business StatisticsDiscussion
SREENIVASA H HALUVADI
4 months ago
The resulting value of multiplying the arithmetic mean (µ) by the coefficient of variation (CV) is closely related to the standard deviation (σ) of the data set.
Here's why:
Coefficient of Variation (CV): CV is a unitless measure of relative dispersion. It's calculated as the ratio of the standard deviation (σ) to the mean (µ): CV = σ / µ.
Multiplication: When you multiply the mean (µ) by the CV, you're essentially multiplying the mean by (σ / µ). This simplifies to σ, the standard deviation.
Therefore, multiplying the arithmetic mean by the coefficient of variation results in a value that represents the standard deviation (σ).
Here's why:
Coefficient of Variation (CV): CV is a unitless measure of relative dispersion. It's calculated as the ratio of the standard deviation (σ) to the mean (µ): CV = σ / µ.
Multiplication: When you multiply the mean (µ) by the CV, you're essentially multiplying the mean by (σ / µ). This simplifies to σ, the standard deviation.
Therefore, multiplying the arithmetic mean by the coefficient of variation results in a value that represents the standard deviation (σ).
0
Related MCQs
- The arithmetic mean of the marks obtained by 50 students was calculated as 44. It was later discovered that a score of 36 was misread as 56. Find the correct value of arithmetic mean of the marks obtained by the students.
- In a moderately skewed distribution, the value of mode is 120 and that of median is 140. Find the value of arithmetic mean.
- The arithmetic mean is 12 and the number of observations are 20 then the sum of all the values is
- For a distribution of data, if the arithmetic mean> median>mode, then which of the following is true?
- The sum of deviations of observations from their arithmetic mean:
- The sum of the squares of the deviations of the variable is when taken about arithmetic mean
- If the coefficient of determination is equal to 1, then the correlation coefficient :
- If the mode is 14 and value of mean is 5 then the value of median is
- The coefficient of variation cannot be meaningfully used to compare the variability of two or more sets of data, when
- If the coefficient of determination is a positive value, then the regression equation: