Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If $V_{A}, V_{B}$ represent the variances of the two populations respectively, then $\frac{V_{A}}{V_{B}}$ is

$\frac{4}{9}$

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$\frac{2}{3}$

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$\frac{9}{4}$

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Solution

The correct option is C
1

Population B observations are 151, 152, ….., 250
Let y, be these observations
Shifting the origin $z_{i} = y_{i} - 50$
The values of these observations are 100, 101, ….., 200.
$∴ V_{A} = V_{B}$
( $∵$ Variance is independent of shifting the origin).

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Similar questions

Suppose a population A has 100 observations 101, 102, . . . . 200 and another population B has 100 observations 151, 152, . . . . 250. If $V_{A}$ and $V_{B}$ represent the variances of the two populations, respectively then $\frac{V_{A}}{V_{B}}$ is

Q. Suppose a population

A

has 100 observations

101, 102, . . . ., 200

and another population

B

has 100 observations

151, 152, 153, . . . ., 250

. If

V_{A}

and

V_{B}

represent the variances of the two populations respectively, then

\frac{V_{A}}{V_{B}}

Q. Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If

V_{A}, V_{B}

represent the variances of the two populations respectively, then

\frac{V_{A}}{V_{B}}

Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If $V_{A}, V_{B}$ represent the variances of the two populations respectively, then $\frac{V_{A}}{V_{B}}$ is

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Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If VA,VB represent the variances of the two populations respectively, then VAVB is

The correct option is C 1 Population B observations are 151, 152, ….., 250 Let y, be these observations Shifting the origin zi=yi−50 The values of these observations are 100, 101, ….., 200. ∴VA=VB ( ∵ Variance is independent of shifting the origin).

Suppose a population A has 100 observations 101, 102,……200 and another population B has 100 observation 151, 152….., 250. If $V_{A}, V_{B}$ represent the variances of the two populations respectively, then $\frac{V_{A}}{V_{B}}$ is

The correct option is C
1

Population B observations are 151, 152, ….., 250
Let y, be these observations
Shifting the origin $z_{i} = y_{i} - 50$
The values of these observations are 100, 101, ….., 200.
$∴ V_{A} = V_{B}$
( $∵$ Variance is independent of shifting the origin).