The mean of a variable x having $50$ observations is $45$ . If a new variable is defined as $U = x + 45$ the mean of the new variable is

45

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0

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95

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90

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Solution

The correct option is D $90$
Mean of variables with 50 observations = 45
Sum of variables with 50 observations = $45 \times 50 = 2250$
Now new sum = $2250 + 50 \times 45 = 4500$
Thus, new mean = $\frac{4500}{50} = 90$

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$x$	$90$	$60$	$45$	$30$	$20$
$y$	$10$	$15$	$20$	$30$	$45$

x

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