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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).

  Is there an error in this question or solution?
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APPEARS IN

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