Question

If the observations 1,2,3,......50 have the variance V1 and the observations 51,52,53,....100 have the variance V2 then V1/V2 is

Answer 1

$\frac{V1}{V2} =1.$  

• Variance is the expected squared variation of a random variable from its population mean or sample mean in the field of probability theory and statistics. Variance is a measure of dispersion, or to be said precisely, how far apart from the mean a group of data are from one another. Descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling are just a few of the concepts that make use of variance. In the sciences, where statistical data analysis is widespread, variance is considered extremely important.
• In comparison to all the other possible methods of measuring dispersion, such as predicted absolute deviation, variance is more accessible to mathematical manipulation.

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

The observations 1,2,3,......50 have the variance V1. This means that V1 contains 50 observations.

Now, for V2 too, there are 50 observations.

Then, both V1 and V2 will have exactly equal variances as well as standard deviations.

Then, $\frac{V1}{V2} =1.$

Hence, $\frac{V1}{V2} =1.$

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Answer 2

V2

V1

=1.

Variance is the expected squared variation of a random variable from its population mean or sample mean in the field of probability theory and statistics. Variance is a measure of dispersion, or to be said precisely, how far apart from the mean a group of data are from one another. Descriptive statistics, statistical inference, hypothesis testing, goodness of fit, and Monte Carlo sampling are just a few of the concepts that make use of variance. In the sciences, where statistical data analysis is widespread, variance is considered extremely important.

In comparison to all the other possible methods of measuring dispersion, such as predicted absolute deviation, variance is more accessible to mathematical manipulation.

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

The observations 1,2,3,......50 have the variance V1. This means that V1 contains 50 observations.

Now, for V2 too, there are 50 observations.

Then, both V1 and V2 will have exactly equal variances as well as standard deviations.

Then,

�

1

�

2

=

1.

V2

V1

=1.

Hence,

�

1

�

2

=

1.

V2

V1

=1.