If Mode= $195.2$ , Median= $198.4$ then the approximately value of mean is

200

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250

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210

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225

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Solution

The correct option is A $200$
$M o d e = 3 M e d i a n - 2 M e a n$ (by The Empirical relation)

$⟹ 195.2 = 3 (198.4) - 2 M e a n$

$⟹ 195.2 = 595.2 - 2 M e a n$

$⟹ 2 M e a n = 595.2 - 195.2$

$⟹ 2 M e a n = 400$

$∴ M e a n = 200$

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