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NIMCET 2016 Mathematics PYQ — Suppose a population A has 100 observations 101, 102, …..,… | Mathem Solvex | Mathem Solvex

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NIMCET 2016 — Mathematics PYQ

NIMCET | Mathematics | 2016

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 variance of the two populations respectively, then $\frac{V _{A}}{V _{B}}$ is

Same Topic Questions

NIMCET

It is given that the mean, median and mode of a data set is $1$ , $3 x$ and $9 x$ respective…NIMCET

Given a set $A$ with median $m_{1} = 2$ and set $B$ with median $m_{2} = 4$

Choose the correct answer:

A.
$\frac{9}{4}$
(Correct Answer)
B.
$\frac{4}{9}$
C.
$1$
D.
$\frac{2}{3}$

Correct Answer:
$\frac{9}{4}$

Explanation

**Concept:**
$σ^{2} = \frac{\sum d ^{2}}{n}$

**Calculations:**
$σ^{2} = \frac{\sum d ^{2}}{n}$

Here the deviations are taken from the mean.
Since A and B have both 100 consecutive integers, therefore both have the same standard deviations and variance.
$\Rightarrow \sum d_{i}^{2}$ is same for both A and B
$\Rightarrow \frac{V _{A}}{V _{B}} = 1$

Explanation

**Concept:**
$σ^{2} = \frac{\sum d ^{2}}{n}$

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