Business Statistics and Research Methods MCQs

Question 1

Probable error in statistics is obtained by

Accepted Answer

$$0.6745\frac{{1 - {r^2}}}{{\sqrt N }}$$

Answer

$$\frac{{1 - {r^2}}}{{\sqrt N }}$$

Answer

$$0.6475\frac{{1 - {r^2}}}{{\sqrt N }}$$

Answer

$$0.6475\frac{{1 - {r^3}}}{{\sqrt N }}$$

Question 2

When a researcher uses a telephone directory to select the respondents for a opinion poll, he is following . . . . . . . .

Accepted Answer

convenience sampling

Answer

sequential sampling

Answer

judgement sampling

Answer

None of these

Question 3

Study the following information: Covariance between X and Y series = -17.8 Standard deviation of X series = 6.6 Standard deviation of Y series = 4.2 Number of pairs of observation = 20 The coefficient of correlation is

Accepted Answer

-0.642

Answer

0.642

Answer

0.253

Answer

-0.253

Question 4

Coefficient of quartile deviation is calculated by

Accepted Answer

$$\frac{{{Q_3} - {Q_1}}}{{{Q_3} + {Q_1}}}$$

Answer

$$\frac{{{Q_3} - {Q_1}}}{4}$$

Answer

$$\frac{{{Q_3} + {Q_1}}}{2}$$

Answer

$$\frac{{{Q_3} + {Q_1}}}{{{Q_3} - {Q_1}}}$$

Question 5

Choose the correct answer for the following statements being correct or incorrect. Statement I If the value of $${\beta _2}$$ i.e. $$\frac{{{\mu _4}}}{{{\sigma _4}}},$$ of a distribution gives the value more than 3, its curve is platykurtic. Statement II In a moderately asymmetrical distribution, the standard deviation is 1.25 times of mean deviation.

Accepted Answer

Statement II is correct, but Statement I is incorrect

Answer

Both the statements are correct

Answer

Both the statements are incorrect

Answer

Statement I is correct, but Statement II is incorrect

Question 6

In a symmetric frequency distribution-

Accepted Answer

$$\overline X = M = Z$$

Answer

$$\overline X > M > Z$$

Answer

$$\overline X < M < Z$$

Answer

$$\overline X \leqslant M \leqslant Z$$

Question 7

The less than and more than cumulative frequency plot should intersect at the . . . . . . . . of the data.

Accepted Answer

median

Answer

mean

Answer

mode

Answer

All of these

Question 8

The correlation coefficientis used to determine:

Accepted Answer

the strength of the relationship between the x and y variables

Answer

a specific value of the y-variable given a specific value of the x-variable

Answer

a specific value of the x-variable given a specific value of the y-variable

Answer

none of these

Question 9

Weighted averages are considered when

Accepted Answer

all the observations are not of equal importance

Answer

the data are not classified

Answer

the data are put in the form of grouped frequency distribution

Answer

Both A and C