For a set of data, if the standard deviation S = 35 and the mean = 5 then the coefficient of variation is ___________.
Question
For a set of data, if the standard deviation S = 35 and the mean = 5 then the coefficient of variation is ___________.
Solution
The coefficient of variation (CV) is a statistical measure of the relative dispersion of data points in a data series around the mean. It is calculated as the ratio of the standard deviation to the mean and is often expressed as a percentage.
Here's how to calculate it:
Step 1: Identify the standard deviation (S) and the mean. In this case, S = 35 and the mean = 5.
Step 2: Divide the standard deviation by the mean. So, 35/5 = 7.
Step 3: To express this as a percentage, multiply by 100. So, 7 * 100 = 700%.
Therefore, the coefficient of variation for this set of data is 700%.
Similar Questions
The coefficient of variation of a set of numerical data is ________. the ratio of the standard deviation to the variance expressed as a percentage the ratio of the standard deviation to the mean expressed as a percentage the ratio of the mean to the variance expressed as a percentage the ratio of the mean to the standard deviation expressed as a percentage
f x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, thenthe coefficient of variation is(a) 25(b) 30(c) 40(d) 20
Variance and Coefficient of Variation:Using the same data set: 5,8,12,14,18,20,22,255,8,12,14,18,20,22,25,Calculate the variance.Determine the coefficient of variation.
The mean of a distribution is 18 and the standard deviation is 4.5. What is the value of thecoefficient of variation?(a) 50%(b) 25%(c) 100%(d) 75%
How is the coefficient of variation calculated? (Standard Deviation / Mean) x 100 (Mean / Standard Deviation) x 100 (Variance / Mean) x 100 (Mean / Variance) x 100
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