Question 1

Statistical methods are most dangerous tools in the hands of
A)Expert
B)Inexpert
C)Business man
D)All of them

Accepted Answer

Statistical methods can be dangerous in the hands of the inexpert because they may misuse or misinterpret the data, leading to incorrect conclusions and decisions. Experts, on the other hand, are trained to understand and apply these methods correctly.

Question 2

------ is capable of more algebraic treatment
A)arithmetic mean
B)Median
C)Both
D)None

Accepted Answer

The arithmetic mean is capable of more algebraic treatment because it involves operations such as addition and division, which can be manipulated algebraically. The median, on the other hand, is more about the positional value in an ordered list and does not lend itself as easily to algebraic manipulation.

Question 3

------ is considered to best average
A)arithmetic mean
B)Median
C)Mode
D)None

Accepted Answer

The arithmetic mean is considered the best measure of average because it takes into account all values in the dataset, providing a central value that represents the dataset as a whole.

Question 4

------ is used whenever the relative importance of the items in a series differs
A)Simple arithmetic mean
B)Weighted arithmetic mean
C)Geometric mean
D)None

Accepted Answer

The weighted arithmetic mean is used when the relative importance (or weights) of the items in a series differs, allowing for a more accurate representation of the data by giving more importance to certain values.

Question 5

Weighted averages are used in the calculation of
A)death rate
B)birth rate
C)Both
D)None

Accepted Answer

Weighted averages are used in the calculation of both death rate and birth rate to account for the distribution of different population groups, which can affect the overall rate.

Question 6

Median is a ----- average
A)Mathematical
B)Positional
C)Both
D)None

Accepted Answer

Median is considered a positional average because it is determined by the position of numbers in a sorted list, not by performing a mathematical operation on the numbers.

Question 7

----- is not capable of algebraic treatment
A)arithmetic mean
B)Median
C)Both
D)None

Accepted Answer

The median, unlike the arithmetic mean, is not capable of algebraic treatment because it is a positional measure and does not lend itself to algebraic manipulation in the same way that the arithmetic mean does.

Question 8

---- is not a mathematical average
A)A.M
B)G.M
C)H.M
D)mode

Accepted Answer

The mode, which represents the most frequently occurring value in a data set, is not a mathematical average. Unlike the arithmetic mean (A.M), geometric mean (G.M), and harmonic mean (H.M), which are all types of averages calculated using specific formulas, the mode is determined by frequency and does not involve any averaging process.

Question 9

----- is ill-defined
A)arithmetic mean
B)Median
C)Mode
D)None

Accepted Answer

The answer of ----- is ill-defined
A)arithmetic mean
B)Median
C)Mode
D)None...

Question 10

----- divides the data into 4 equal parts
A)Quartiles
B)Mean
C)Median
D)Range

Accepted Answer

Quartiles divide the data set into four equal parts, with each part representing a quarter of the data points.

Question 11

---- are known as averages of first order
A)Measures of central tendency
B)Measures of dispersion
C)Averages
D)None

Accepted Answer

Measures of central tendency, such as the mean, median, and mode, are referred to as first-order averages because they focus on the central or typical values in a data set.

Question 12

Simplest possible measure of dispersion is
A)Range
B)Q.D
C)M.D
D)Variance

Accepted Answer

The range, defined as the difference between the largest and smallest values in a dataset, is the simplest measure of dispersion because it involves the least amount of calculation.

Question 13

---- cannot be computed in the case of open ended distribution
A)Range
B)Mean
C)Both
D)None

Accepted Answer

Both range and mean cannot be computed in the case of open ended distribution. Range is the difference between the highest and lowest values in a dataset, and mean is the average of all values in a dataset. In an open ended distribution, the highest and lowest values are not known, so range and mean cannot be computed.

Question 14

Standard deviation of a series can have minimum value of -----
A)Zero
B)One
C)Two
D)Three

Accepted Answer

The standard deviation can be zero if all the values in a dataset are the same, indicating no variability among them.

Question 15

In ---- signs are ignored
A)S.D
B)Mean
C)Both
D)None

Accepted Answer

The answer of In ---- signs are ignored
A)S.D
B)Mean
C)Both
D)None...

Question 16

----- is defined as the reciprocal of the mean of the reciprocal of these values
A)H.M
B)G.M
C)A.M
D)S.D

Accepted Answer

H.M (Harmonic Mean) is defined as the reciprocal of the mean of the reciprocal of a set of values.

Question 17

------ is used in averaging rates , times etc
A)H.M
B)G.M
C)A.M
D)Mode

Accepted Answer

Harmonic Mean (H.M) is used in averaging rates, times, etc., because it is particularly useful when dealing with rates or ratios, as it gives equal weight to each data point, which is necessary when averaging quantities like speed or density.

Question 18

Measures of dispersion are statistical devices to measure the ----- in a series
A)Variability
B)Convertibility
C)Flexibility
D)None

Accepted Answer

Measures of dispersion are used to determine the variability or spread in a data set, indicating how much the data points differ from each other and from the mean of the dataset.

Question 19

----- is a geometric method of measuring variability
A)Lorenz Curve
B)Geometric curve
C)Both
D)None

Accepted Answer

The Lorenz Curve is a graphical representation used to show the distribution of income or wealth within an economy, thereby measuring economic inequality and variability.

Question 20

The most commonly used relative measure of dispersion
A)Coefficient of variation
B)Q.D
C)S.D
D)None

Accepted Answer

The Coefficient of Variation (CV) is the most commonly used relative measure of dispersion because it allows for the comparison of variability between datasets with different units of measure or different means, by expressing the standard deviation as a percentage of the mean.

Quiz 3: Statistical Methods, Averages, and Measures of Dispersion

Statistical methods are most dangerous tools in the hands of

------ is capable of more algebraic treatment

------ is considered to best average

------ is used whenever the relative importance of the items in a series differs

Weighted averages are used in the calculation of

Median is a ----- average

----- is not capable of algebraic treatment

---- is not a mathematical average

----- is ill-defined

----- divides the data into 4 equal parts

---- are known as averages of first order

Simplest possible measure of dispersion is

---- cannot be computed in the case of open ended distribution

Standard deviation of a series can have minimum value of -----

In ---- signs are ignored

----- is defined as the reciprocal of the mean of the reciprocal of these values

------ is used in averaging rates , times etc

Measures of dispersion are statistical devices to measure the ----- in a series

----- is a geometric method of measuring variability

The most commonly used relative measure of dispersion