Question

Q2 The sum of 50 observations is 500 and the sum of their squares is 6000. Compute
coefficient of variation.​

Answer 1

Answer:

yes upper answer is right

Answer 2

The coefficient of variation is 4.47

• The ratio of the standard deviation to the mean is known as the coefficient of variation (CV). The level of dispersion around the mean increases with the coefficient of variation. Typically, a percentage is used to express it. Without units, it enables comparison between value distributions whose measurement scales are incomparable.
• The CV links the standard deviation of the estimate to the value of the estimate when we are given estimated values. The estimate is more accurate the lower the coefficient of variation value.

Here, according to the given information, we are given that,

The number of observations (n) = 50.

The sum of the observations = 500.

Then, the mean = $\frac{500}{50} = 10.$

Now, we are also given that, sum of their squares =  6000.

Then, coefficient of variation = $\sqrt{\frac{Sum of squares}{n}-Mean^{2} }$

= $\sqrt{\frac{6000}{50}-10^{2} } = 4.47$

Hence, the coefficient of variation is 4.47.

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