Arts (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

For a frequency distribution mean deviation from mean is computed by

The mean deviation from the median is

The mean deviation of the series a, a + d, a + 2d, ..., a + 2n from its mean is

A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44. The mean deviation about mean is

The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

The mean deviation for n observations \[x_1 , x_2 , . . . , x_n\]  from their mean \[\bar{X} \]  is given by

Let \[x_1 , x_2 , . . . , x_n\]  be n observations and  \[X\]  be their arithmetic mean. The standard deviation is given by

If second, third and sixth terms of an A.P. are consecutive terms of a G.P., write the common ratio of the G.P. 

Write the quadratic equation the arithmetic and geometric means of whose roots are Aand G respectively. 

If a, b, c are in A.P. and x, y, z are in G.P., then the value of x^b − c y^c − a z^a − b is

The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is 

If a, b, c are in G.P. and a^1/x = b^1/y = c^1/z, then xyz are in

The coordinates of the focus of the parabola y² − x − 2y + 2 = 0 are 

Solve the following problem.

Obtain a derivative of the following function: x sin x

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.

If A and B are two finite sets, then n(A) + n(B) is equal to ______.

If A is a finite set containing n element, then number of subsets of A is ______.