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The mean and standart deviation of five observations `x_1,x_2,x_3,x_4,x_5` and are 10 and 3 respectively, then variance of the observation `x_1,x_2,x_3,x_4,x_5,-50` is equal to (a) 437.5 (b) 507.5 (c) 537.5 (d) 487.5

A

582.5

B

507.5

C

586.5

D

509.5

Text Solution

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The correct Answer is:
B
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CENGAGE ENGLISH-JEE 2019-MCQ
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  2. The mean of five observations is 5 and their variance is 9.20. If thr...

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  3. The mean and standart deviation of five observations x1,x2,x3,x4,x5 an...

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  4. The outcome of each of 30 items was observed , 10 items gave an outcom...

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  5. Contrapositive of the statement ''If two numbers are not equal, then t...

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  6. There are 30 white balls and 10 red balls in bag. 16 balls are drawn w...

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  7. If the sum of the deviations of 50 observations from 30 is 50, then th...

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  8. Mean and variance of five observations are 4 and 5.2 respectively. If ...

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  9. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

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  10. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

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  11. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

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  12. Let a(1),a(2),a(3), …, a(10) be in G.P. with a(i) gt 0 for i=1, 2, …, ...

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  13. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

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  14. prove that [ [a-b-c , 2a , 2a ] , [2b , b-c-a , 2b ] ,[2c ,2c,c-a-b]]=...

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  15. An ordered pair (alpha, beta) for which the system of linear equations...

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  16. The set of all values of lambda for which the system of linear equatio...

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  17. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

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  18. Matrix=[[e^t,e^-t(sint-2cost),e^-t(-2sint-cost)],[e^t,-e^-t(2sint+cost...

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  19. Let d in R and A= ((-2,4+d, sintheta-2),(1, sintheta+2,d),(5, 2sinthet...

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  20. Let A=[(2,b,1),(b,b^(2)+1,b),(1,b,2)] where b gt 0. Then the minimum v...

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