Coefficient of Variation

Q. The standard deviation and mean of a data are $6.5$ and $12.5$ respectively. Then the coefficient of variation is

1. $52$
2. $53$
3. $48$
4. $49$

Q.

Mean of goals scored by Ronaldo and Messi for each year for the past 5 years is 48 and 50. Standard deviation for each of them is 6 and 4 respectively. Who is more consistent?

1. Ronaldo

2. Messi

3. Both

4. None of these

Q. If mean and standard deviation of $5$ observations $x_1,x_2,x_3,x_4,x_5$ are $10$ and $3$, respectively, then the variance of $6$ observations $x_1,x_2,\cdots ,x_5$ and $-50$ is equal to :

1. $507.5$
2. $582.5$
3. $509.5$
4. $586.5$

Q.

The series with greater Coefficient of variation will show greater dispersion compared to the one with less Coefficient of variation

1. True

2. False

Q. The variance of the data 2, 4, 6, 8, 10 is:

1. 6
2. 7
3. 8
4. none of these

Q. $Inanexperimentwith15observations,theresultsareasfollows:\sum x^2=2830,\sum x=170.Oneobservationthatwas20wasfoundtobewrongandwasreplacedbythecorrectvalue30.Thenthecorrectedvarianceis$

1. 78.00
2. 188.66
3. 177.33
4. 8.33

Q.

Coefficient of variation can be defined as C.V = $\frac{\sigma }{x}\times 100$, $\overline{x}$ $\ne$ 0, $\sigma$ = standard deviation and $\overline{x}$ = mean

1. True

2. False