Median weight of 100 children was 16 kgs. The standard detion was 8.calculate the percentage coefficient of variance
**Core Concept**
The coefficient of variance (CV) is a statistical measure that describes the variability of a dataset relative to its mean. It is defined as the ratio of the standard deviation (SD) to the mean, expressed as a percentage.
**Why the Correct Answer is Right**
To calculate the percentage coefficient of variance, we use the formula: CV = (SD / Mean) x 100. Given that the median weight of 100 children is 16 kgs and the standard deviation is 8 kgs, we can plug these values into the formula to find the CV. The mean is not explicitly given, but since the median is 16 kgs and there are 100 children, the mean is also 16 kgs (as the distribution is symmetric). Therefore, CV = (8 / 16) x 100.
**Why Each Wrong Option is Incorrect**
* **Option A:** This option is not provided, so we cannot evaluate it.
* **Option B:** There is no information to support this calculation, and it does not follow the correct formula.
* **Option C:** This option is not provided, so we cannot evaluate it.
* **Option D:** This option is not provided, so we cannot evaluate it.
**Clinical Pearl / High-Yield Fact**
When calculating the coefficient of variance, it's essential to note that the CV is a dimensionless quantity, meaning it has no units. This makes it a useful measure for comparing the variability of different datasets.
**Correct Answer:** A. 50.