# Statistical and Numerical Methods MCQs Chapter 3

The mean and mode values are 42.2 and 41.3 then the median value is ____.

a. 42.
b. 41.
c. 41.9.
d. 42.9.

For any two positive numbers, geometric mean=_______.

a. Arithmeticmean  harmonicmean .
b. Arithmeticmean  harmonicmean .
c. Arithmeticmean * harmonicmean .
d. Arithmeticmean / harmonicmean .

If A= 1 -2 3 then -3A=___________.

A. 045 a. 3 -6 9 0 1215 15
b. -3 6 9 0 -12 -15
c.-3 6 -9 0 -12-1
d.-3 6 9 0 -12 -15

Transpose of AT is _________.

a. A3T.
b. A2T.
c. A.
d. AT.

Determinant (AB) = __________.

a. det(A+B).
b. det A + det B.
c. det A. det B.
d. det (A/B).

Every polynomial equation of the nth degree has ________ roots.

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

A polynomial of the form y=a+bx is called __________.

a. straight line.
b. second degree equation.
c. polynomial equation.
d. reciprocal equation.

Gauss Jacobi method is a _________.

a. direct.
b. indirect.
c. self correcting.
d. step by step.

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

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

For studying phenomena like intelligence and density _____ is a better average to be
used.

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

The _____ is useful when data are given in terms of rates.

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

In discrete frequency distribution the total number of observations N=___.

a. fx. b.  f .
c .  1f .
d.  f log x .

When the relationship is of a quantitative nature the appropriate statistical tool for
discovering and measuring the relationship and expressing the brief formula is known as____.

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

The ______correlation was developed by spearmen.

a. partial.

b. multiple.
c. rank.
d. positive.

The ranks according to two attributes in a sample are 1,2,3,4,5 and 5,4,3,2,1. The
rank correlation between them is _____.

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

While drawing a scatter diagram if all points appear to from a straight line going
downward form left to right then it is inferred that there is ____.

a. perfect positive correlation.
b. simple positive correlation.
c. perfect negative correlation.
d. no correlation.

______correlation implies real relationship between the variables.

a. Partial.
b. Multiple.
c. Rank.
d. Spurious.

What is the value of factorial Zero (0!)

a. 10.
b. 0 .
c. 1 .
d. -1.

Let Y=aX+b be the straight line equation then the normal equations are______ and __________.

a.YaXnbandXYaX2 bX.
b.YaXnbandXYaX2 bX.
c. Y aX nb and XY aX2 bX .
d.YaXXY andXYaX2 bX.

The degree and order of the differential equation of the family of all parabolas, whose axis is x-axis, are respectively ____________.

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

If h=2, find the value of y when x=5 by Newton Forward Interpolation Formula X: 4 6 Y: 1 3

a. 2.
b. 3.
c. 0.
d. 4.

In Runge-Kutta Method of second order the value of Δy=_____.

a. K1.
b. K2.
c. K1+K2.
d. K1-K2.

Statistical information is expressed in ___________.

a. descriptive form.
b. numerical form.
c. both descriptive and numerical form.
d. neither descriptive nor numerical form.

Which average is affected most by extreme observations _______.

a. mean.
b. median.
c. mode.
d.G.M.

If a frequency distribution is positively skewed, the mean of the distribution is
________.

a. greater than the mode.
b. less than the mode.
c. equal to mode.
d. less than the mean.

The trend can be found by the method of least squares ____________.

a. if the nature of trend is known.
b. if the trend is not linear.
c. if the trend is linear.
d. if the nature of the trend is unknown.

The point of intersection of the two Ogives is __________.

a. mean.
b. median.
c. mode.
d. G.M.

A measure of ______ gives a single representative value for a set of usually unequal values.

a. dispersion.
b. central tendency.
c. variation.
d. relation.

In a symmetrical distribution mean, median and mode are __________.

a. equal.
b. unequal.
c. zero.
d. one.

All the points lie on a line in a scatter diagram when r = _____.

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

The line obtained by the method of least squares is known as the line of _________.

a. best fit.
b. correlation.
c. regression.
d. none.

Rank correlation method was developed by __________.

a. Karl Pearson.
b. R.A. Fisher.
c. Spearman.
d. Croxten and cowden.

________ is the geometric mean of two regression coefficient .

a. mean.
b. correlation.
c. rank correlation.
d. mode.

Regression coefficients are affected by change of ________.

a. origin.
b. scale.
c. both origin and scale.
d. neither origin nor scale.

Median usually lies between ________.

a. mean and mode.
b. mean and G.M.
c. mean and H.M.
d. G.M and H.M.

The word statistics is used as __________.

a. a singular word.
b. a plural word.
c. both singular and plural words.
d. neither singular nor plural word.

Statistics is __________.

a. a quantitative science.
b. a qualitative science.
c. both quantitative and qualitative science.
d. neither quantitative nor qualitative science.

Statistics considers _________.

a. a single item.
b. a set of items.
c. either a single item or a set of items.
d. neither a single item nor a set of items.

Statistics can ______________.

a. prove anything.
b. disprove anything.
c. neither prove nor disprove anything but it is just a tool.
d. none of these.

Statistics can be considered as ___________.

a. an art.
b. a science.
c. both an art and a science.
d. neither an art nor a science.

Calculate Arithmetic mean of the daily incomes of 10 families Rs. 10,90,85,103,11,29,84,15,35,80.

a. 54.2.
b. 52.4.
c. 50.2.
d. 50.4.

The arithmetic mean of the values 45,48,50,52,55,58,60,01,63,65 is ____________.

a. 55.
b. 55.7.
c. 56.
d. 56.7.

The arithmetic mean of the values 4,8,10,5,2,6 is ______________.

a. 5.
b. 6.3.
c. 5.8.
d. 7.

Find the median for the values 4,45,60,20,83,19,26,11,27,12,52.

a. 26.
b. 19.
c. 83.
d. 20.

Calculate median 35,23,45,50,80,61,92,40,52,61.

a. 50.
b. 51.
c. 61.
d. 60.