# Statistical and Numerical Methods MCQs Chapter 1

The number of elements in an m*n matrix is ____.

a. mn.
b. m+n.
c. m/n.
d. mn.

The number of elements in a square matrix of order n is _____.

a. n3 .
b. n4.
c. n .

d. n2.

The determinant value of the matrix
0 c b c0a ba0 is ______________.

a. 0.
b. 2abc.
c. abc.
d. –abc.

The solution x 2
1 1 = 0 is_____.

a. 0.
b. 1.
c. -1.
d. 2.

The order of the matrix B= [1 2 5 7] is ________.

a. 1*4.
b. 4*1.
c. 2*1.
d. 1*1.

Thetypeofthematrix 2 0 0v0 3 0 is __________.

a. scalar matrix.

b. diagonal matrix.

c. unit matrix.
d. null matrix.

Theminorof2in

a. 0.
b. 1.
c. -3.
d. 2.

The rank of the matrix 2 -3
6 0 is_____.

a. 4.
b. 1.
c. 3.
d. 2.

Every ____ matrix satisfies its own characteristic equation.

a. scalar matrix.
b. diagonal matrix.
c. unit matrix.
d. square matrix.

Matrix A is of order 2*3 and B is of order 3*2 then BA is of order____.

a. 3*2.
b. 2*3.
c. 2*2 .
d. 3*3.

The trace of a _____ matrix is the sum of its diagonal elements.

a. scalar matrix.
b. diagonal matrix.
c. unit matrix.
d. square matrix.

The error in the trapezoidal rule is of the order_______.

a. h.

b. h2.
c. h3.

d. h4.

The error in the Simpson’s rule is of the order_______.

a. h.

b. h2.
c. h3 .

d. h4.

__________ method is used for finding the dominant Eigen-value of a matrix.

a. Gauss Elimination Method.
b. Gauss Jordan Method.
c. Newton Raphson Method.
d. Power method.

Simpson’s 1/3rd rule of integration is exact for all polynomials of degree not
exceeding _________.

a. 4.
b. 1.
c. 3.
d. 2.

Simpson’s 3/8th rule is applicable only when_____.

a. n is multiple of 3.
b. n is multiple of 6.

c. n is multiple of 8.

d. n is multiple of 24.

In Simpson’s 1/3rd rule the number of intervals must be _____.

a. multiple of 3.
b. multiple of 6.
c. odd.
d. even.

The method used to solve a system of simultaneous linear equations are known
as_____ method.

a. direct.
b. indirect.
c. iterative.
d. interpolation.

The modification of Gauss elimination method is______.

a. Gauss method.
b. Gauss Jacobi.

c. Gauss Jordan Method.
d. Gauss Siedel Method.

Gauss elimination and Gauss Jordan methods are _______.

a. direct.
b. indirect.
c. iterative.
d. interpolation.

_____ is used to denote the process of finding the values inside the interval(X0, Xn).

a. Interpolation.
b. Extrapolation.
c. Iterative.
d. Polynomial equation.

The forward difference operator denoted by the symbol is__________.

a. ∆
b. Ω .
c. ∂ .
d. ∞.

LaGrange’s interpolation is used to interpolate the values of ____ intervals.

a. equal.
b. unequal.
c. open.
d. closed.

In Newton’s forward interpolation formula, the first and second terms will give the _____ interpolation.

a. linear.
b. parabolic.
c. hyperbolic.
d. non-linear.

The Runge-kutta method of second order is nothing but ____.

a. Euler Method.
b. Taylor method
c. modified Euler method
d. improved Euler method.

The harmonic mean is the reciprocal of the ______ of the values.

a. mean.
b. median.
c. mode.
d. geometric mean.

Which average is affected most by extreme observations

a. mean.
b. median.

c. mode.
d. geometric mean.

Which of the following is the most unstable average

a. mean.
b. median.
c. mode.
d. geometric mean.

For dealing with qualitative data the best average is______.

a. mean.
b. median.
c. harmonic mean.
d. geometric mean.

In a moderately asymmetrical distribution is______.

a. AM>GM>HM.
b. AM<GMGM>AM .
d. AM≥GM≥HM.

Suppose a teacher records the following scores for a test 87, 42, 55,87,99,98,87,55,87
the mode is ____.

a. 99.
b. 98.
c. 42.
d. 87.

The empirical relation between the mode, median, and mode is____.

a. mean=mode=median.
b. mode=3median-2mean.

c. mean=3mode-2median.

d. mean=median-3mean.

The positive square root of the variance____.

a. mean.
b. range.
c. standard deviation.
d. median.

Sum of deviations about mean is____.

a. 0.
b. 1 .
c. maximum.
d. minimum.

Which is the simplest method of measures of dispersion

a. mean.
b. range.

c. standard deviation.
d. variance.

Correlation coefficient lies between_____.

a. 0 & 1.
b. 0 & 2.
c. -1&1.
d. 1 & 2.

If one of the rank correlations is greater than unity, then the other must be _____.

a. less than unity.
b. greater than unity.

c. zero.
d. one.

Regression coefficient is independent of ______.

a. origin.
b. scale.
c. origin & scale.
d. neither origin nor scale.

The geometric mean of the two rank correlation b(xy) & b(yx) is equal to____.

a. r.

b. r2.
c. r3.

d. r4.

A correlation coefficient is independent of______.

a. origin.
b. scale.
c. origin & scale.
d. neither origin nor scale.

Which of the following is true

a.r= b(xy)b(yx).
b. r2= b(xy)b( yx) .
c. 1/r= b(xy)b(yx) .
d. r=[b(xy)b(yx)]=1.

A correlation is perfect and positive, if r=___________.

a. -1.
b. 0.
c. +2.
d. +1.

The product moment correlation coefficient is obtained by the formula____.

a.r= XY.
xy
b. r =  XY .
N  X Y

c.r= XY .
NX

d.r= XY .
N Y

Both the regression coefficient cannot exceed____.

a. one.
b. -1.
c. 0.
d. maximum.

The average relationship between two variable is____.

a. correlation.
b. rank correlation.
c. regression.
d. both correlation and regression.

The relationship between 3 or more variables is studied with the help of ________ correlation.

a. simple.
b. multiple.
c. rank.
d. partial.

The ________ is the reciprocal of arithmetic mean of the values.

a. median.
b. mode.
c. geometric mean.
d. harmonic mean.

Newton forward interpolation is used for______ intervals.

a. equal.
b. unequal.
c. open.
d. closed.

Given (x0, y0) and (x1, y1) the LaGrange’s interpolation formula is ______.

a.y=xx1 y0+xx0 y1.
x0 x1 x1 x0

b.x= xx1 y0+ xx0 y1.
x0 x1

c. y = x  x1
x1 x0
x0+ x  x0 x1.
x0 x1
x1 x0
d. y = y0 +p∆ y0+p2∆2 y0.