Question

(क) यदि 27, 23, x – 4, 2x + 4, 15, 3 और 7 का समान्तर माध्य 15
हो, तो x का मान ज्ञात कीजिए।
1
नागतनमन​

Answer 1

SOLUTION

GIVEN

The mean of 27, 23, x - 4, 2x + 4, 15, 3 and 7 is 15

TO DETERMINE

The value of x

EVALUATION

Here the given observations are

27, 23, x - 4, 2x + 4, 15, 3, 7

Sum of the observations

= 27 + 23 + x - 4 + 2x + 4 + 15 + 3 + 7

= 3x + 75

Total number of observations = 7

$\displaystyle \sf{Mean = \frac{3x + 75}{7} }$

So by the given condition

$\displaystyle \sf{ \frac{3x + 75}{7} = 15 }$

$\displaystyle \sf{ \implies \: 3x + 75 = 105 }$

$\displaystyle \sf{ \implies \: 3x = 30 }$

$\displaystyle \sf{ \implies \: x = 10 }$

Hence the required value of x = 10

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