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Standard deviations for first 10 natural numbers is ______.
Concept: undefined >> undefined
Coefficient of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is ______.
Concept: undefined >> undefined
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If the variance of a data is 121, then the standard deviation of the data is ______.
Concept: undefined >> undefined
The standard deviation of a data is ______ of any change in orgin, but is ______ on the change of scale.
Concept: undefined >> undefined
The standard deviation is ______to the mean deviation taken from the arithmetic mean.
Concept: undefined >> undefined
The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> pi) (sin(pi - x))/(pi (pi - x))`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x ->0) cos x/(pi - x)`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> 0) (cos 2x -1)/(cos x - 1)`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> 0) (ax + xcos x)/(b sin x)`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x → 0) x sec x`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> 0) (sin ax + bx)/(ax + sin bx) a, b, a+ b != 0`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> 0) (cosec x - cot x)`
Concept: undefined >> undefined
Evaluate the following limit.
`lim_(x -> (pi)/2) (tan 2x)/(x - pi/2)`
Concept: undefined >> undefined
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
p: Each radius of a circle is a chord of the circle.
Concept: undefined >> undefined
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
q: The centre of a circle bisects each chord of the circle.
Concept: undefined >> undefined
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
r: Circle is a particular case of an ellipse.
Concept: undefined >> undefined
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
s: If x and y are integers such that x > y, then –x < –y.
Concept: undefined >> undefined
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
t`sqrt11` is a rational number.
Concept: undefined >> undefined
Check the validity of the statements given below by the method given against it.
p: The sum of an irrational number and a rational number is irrational (by contradiction method).
Concept: undefined >> undefined
