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# The Mean of 1, 3, 4, 5, 7, 4 is M. the Numbers 3, 2, 2, 4, 3, 3, P Have Mean M − 1 and Median Q. Then, P + Q = - Mathematics

MCQ

The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m − 1 and median q. Then, p + q =

#### Options

• 4

• 5

• 6

• 7

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#### Solution

1,3,4,5,7,4

Mean=(1+3+4+5+7+4)/6

= 24/6

=4

M = 4

Consider the numbers 3, 2, 2, 4, 3, 3, p.

Mean = $\frac{3 + 2 + 3 + 4 + 3 + 3 + p}{7}$

$\Rightarrow 7 \times \left( 4 - 1 \right) = 17 + p$

$\Rightarrow 21 = 17 + p$

$\Rightarrow p = 4$

Arranging the numbers 3, 2, 2, 4, 3, 3, 4 in ascending order, we have

2, 2, 3, 3, 3, 4, 4

Median= ((n+1)/2)^(th)term

q = ((7-1)/2)^(th) term

=(8/2)^(th)

=4^(th) term
∴ q = 3

So,

p+q = 4 +3

= 7

Hence, the correct option is (d).

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 20 | Page 67
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