List of top Mathematics Questions

Find the mean deviation about the median for the data

xi1521273035
fi35678

Find the mean deviation about the mean for the data. 

Income per day0-100100-200200-300300-400400-500500-600600-700700-800
Number of persons489107543

Find the mean deviation about the mean for the data

Height in cms95-105105-115115-125125-135135-145145-155
Number of boys91326301210

Find the mean deviation about median for the following data

Marks0-1010-2020-3030-4040-5050-60
Number of  Girls68141642

Calculate the mean deviation about median age for the age distribution of 100 persons given below

Age (in years)16-2021-2526-3031-3536-4041-4546-5051-55
Number5612142612169
Find the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12.
Find the mean and variance for the first n natural numbers.
Find the sum to indicated number of terms in each of the geometric progressions in \(\sqrt{7},\sqrt{21},3\sqrt{7},\) ... n terms.
Find the mean and variance for the first 10 multiples of 3.
In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.
Find the sum to indicated number of terms in each of the geometric progressions in 1, – a, \(a^2\), –\(a^3\), ... n terms (if a ≠ – 1).

Find the mean and variance for the data

\(x_i\)6101418242830
\(f_i\)24712843

Find the mean and variance for the data

\(x_i\)62939798102104106
\(f_i\)3232633
If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that  \(\frac{1}{p^2}=\frac{1}{a^2}+\frac{1}{b^2}.\)
Find the sum to indicated number of terms in each of the geometric progressions in\(x^3,x^5,x^7\), ... n terms (if x ≠ ± 1).

Find the mean and standard deviation using short-cut method.

\(x_i\)606162636465666768
\(f_i\)21122925121045

Find the mean and variance for the following frequency distribution.

Classes0-3030-6060-9090-120120-150150-180180-210
Frequencies23510352

Find the mean and variance for the following frequency distribution.

Classes0-1010-2020-3030-4040-50
Frequencies5815166
Find the values of k for which the line (k – 3) x – (4 – k2) y + k2 – 7k + 6 = 0 is
(a) Parallel to the x-axis
(b) Parallel to the y-axis
(c) Passing through the origin

Find the mean, variance and standard deviation using short-cut method. 

Height in cms70-7575-8080-8585-9090-9595-100100-105105-110110-115
No. of children3477159663
Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively.

The diameters of circles (in mm) drawn in a design are given below

DiametersNo. of children
33-3615
37-4017
41-4421
45-4822
49-5225
What are the points on the y-axis whose distance from the line  \(\frac{ x}{3} +\frac{ y}{4} = 1\) is 4 units?

From the data given below state which group is more variable, A or B?

Marks10-2020-3030-4040-5050-6060-7070-80
Group A917323340109
Group B 11020302543157

 

Find the perpendicular distance from the origin to the line joining the points \((cosθ,sinθ) \) and \((cos\phi,sin\phi).\)