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Let x1,""x2,"". . . . . . ,""xn be n obs...

Let `x_1,""x_2,"". . . . . . ,""x_n` be n observations, and let ` bar x` be their arithematic mean and `sigma^2` be their variance. Statement 1: Variance of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4""sigma^2` . Statement 2: Arithmetic mean of `2x_1,""2x_2,"". . . . . . ,""2x_n""i s""4x` . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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Let a, b R be such that the function f given by f(x)""=""ln""|x|""+""b x^2+""a x ,""x!=0 has extreme values at x""=""1 and x""=""2 . Statement 1: f has local maximum at x""=""1 and at x""=""2 . Statement 2: a""=1/2"and"b=(-1)/4 (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

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RD SHARMA ENGLISH-STATISTICS-All Questions
  1. Calculate mean deviation from the median for the following distribu...

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  2. The mean deviation for n observations x1, x2, ......... , xn from th...

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  3. Let x1,""x2,"". . . . . . ,""xn be n observations, and let bar x be t...

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  4. The scores of a batsman in 10 matches were as follows: 38,70,48,34,...

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  5. The mean and variance of 7 observation is 8 and 16. If five of the obs...

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  6. If for a sample of size 60, we have the following information sumxi^2=...

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  7. The mean and standard deviation of 20 observations are found to be ...

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  8. Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each num...

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  9. If for distribution of 18 observations sum(xi-5)=3a n dsum(xi-5)^2=43 ...

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  10. If the men and standards deviation of 100 observations are 50 and 4 ...

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  11. Let x1,\ x2,\....,\ xn values of variable X and let 'a' be non zero re...

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  12. If two variates X a n d Y are connected by the relation Y=(a X+b)/c ,w...

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  13. Let x1, x2, x3, , be n values of a variable X. If these values are ch...

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  14. If for a sample of size 60, we have the following information sumxi^2=...

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  15. The weight of coffee in 70 jars is shown in the following table: Weigh...

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  16. Suppose that samples of polythene bags from two manufacturers, A and B...

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  17. Let x1, x2, ...... ,xn be values taken by a variable Xa n dy1, y2,......

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  18. The sum of the squares of deviation of 10 observations from their mean...

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  19. If the S.D. of a set of observations is 8 and if each observation is ...

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  20. Find the mean and variance of frequency distribution given below: xi :...

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