Question 1

The formula of Q.D
A)(Q3-Q1)/2
B)(Q2-Q3)/2
C)(Q2-Q1)/2
D)none

Accepted Answer

A

Question 2

Measures of dispersion are called averages of ----- order
A)First
B)second
C)Third
D)None

Accepted Answer

Measures of dispersion, such as variance and standard deviation, are considered second-order averages because they are based on the squared differences from the mean, which involves a second power calculation. First-order averages are measures of central tendency like the mean, median, and mode, which directly summarize a set of data without squaring differences.

Question 3

----- is the difference between highest and lowest values in a series
A)Range
B)Mean
C)Dispersion
D)None

Accepted Answer

The range is defined as the difference between the highest and lowest values in a data series, making it a measure of dispersion.

Question 4

The most important measure of dispersion
A)Range
B)Mean deviation
C)Standard deviation
D)Quartile deviation

Accepted Answer

Standard deviation is considered the most important measure of dispersion because it takes into account all values in the dataset, providing a comprehensive measure of variability around the mean.

Question 5

Square of Standard Deviation is known as
A)Range
B)Variance
C)Quartile
D)none

Accepted Answer

The square of the standard deviation is known as variance. Variance measures the dispersion of a set of data points around their mean value.

Question 6

For comparing variability in scores of 2 Batsman we can use
A)Standard Deviation
B)Mean
C)Coefficient of variation
D)mode

Accepted Answer

The coefficient of variation is used to compare the relative variability between datasets with different units or means, making it suitable for comparing the variability in scores of two batsmen.

Question 7

Variance = ----- A)(S.D)² B)?S.D C) (S.D)³ D)1/S.D

Accepted Answer

Variance is the square of the standard deviation.

Question 8

In Standard deviation , deviations are taken only from ---- values of series
A)Mean
B)Median
C)Mode
D)Variance

Accepted Answer

Standard deviation is calculated by taking the square root of the average of the squared deviations from the mean, not from the median, mode, or variance.

Question 9

Co. Efficient of variation is equal to
A)(S.D/Mean)x100
B)(S.D/Range )x100
C)(Mean/ S.D)x100
D)None

Accepted Answer

The coefficient of variation (CV) is a statistical measure of the dispersion of data points in a data series around the mean. It is calculated as the ratio of the standard deviation (S.D) to the mean (Mean), multiplied by 100 to express it as a percentage. Therefore, the correct formula is (S.D/Mean) x 100.

Question 10

----- means lack of symmetry
A)Skewness
B)Kurtosis
C)Range
D)None

Accepted Answer

Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

Question 11

A distribution is skewed if Mean , Median , Mode are
A)Equal
B)Not equal
C)Symmetric
D)None

Accepted Answer

A distribution is considered skewed if the mean, median, and mode are not equal. This inequality indicates that the distribution is not symmetric around its central point, leading to either left or right skewness.

Question 12

----- is a measure of peakedness
A)Skewness
B)Kurtosis
C)Range
D)Variance

Accepted Answer

Kurtosis is a statistical measure that describes the distribution of data points in the tails and the peak of a frequency distribution. It indicates how peaked or flat the distribution is compared to a normal distribution.

Question 13

Skewness may be ----
A)+ or -
B)Zero
C)Both
D)None

Accepted Answer

Skewness can be positive or negative, indicating the direction of the asymmetry.

Question 14

When the frequency curve is more peaken than normal curve it is called
A)Leptokurtic
B)Platy
C)Mesokurtic
D)None

Accepted Answer

A leptokurtic distribution is one that has a sharper peak and fatter tails, indicating a higher frequency of data points at the mean, or more extreme values, compared to a normal distribution.

Question 15

----- are devices for measuring differences in the magnitude of a group of related variables
A)Index numbers
B)Time series
C)Standard deviation
D)Mean

Accepted Answer

Index numbers are specifically designed to measure differences in the magnitude of a group of related variables over time, making them the correct choice for this description.

Question 16

Index numbers are expressed in
A)Average
B)Percentage
C)Both
D)None

Accepted Answer

The answer of Index numbers are expressed in
A)Average
B)Percentage
C)Both
D)None...

Question 17

In Laspear's Index number ---- year quantities are used
A)Base
B)Current
C)Average
D)None

Accepted Answer

Laspeyre's Index uses base year quantities to calculate the index number.

Question 18

----- is not a factor responsible for seasonal variation
A)Climatic condition
B)social customs
C)Religious functions
D)Operation condition

Accepted Answer

Operation condition is not a factor responsible for seasonal variation as seasonal variations are typically influenced by climatic conditions, social customs, and religious functions, rather than the operational conditions of businesses or organizations.

Question 19

laspeyer's method and Paashe's method do not satisfy
A)Unit test
B)Factor reversal test
C)Time reversal test
D)None

Accepted Answer

The answer of laspeyer's method and Paashe's method do not...

Question 20

Fisher's formula satisfies ---- test
A)Unit test
B)Time reversal Test
C)factor Reversal test
D)All

Accepted Answer

The answer of Fisher's formula satisfies ---- test
A)Unit test
B)Time reversal...

Quiz 2: Measures of Dispersion, Skewness, and Index Numbers

The formula of Q.D

Measures of dispersion are called averages of ----- order

----- is the difference between highest and lowest values in a series

The most important measure of dispersion

Square of Standard Deviation is known as

For comparing variability in scores of 2 Batsman we can use

Variance = -----

In Standard deviation , deviations are taken only from ---- values of series

Co. Efficient of variation is equal to

----- means lack of symmetry

A distribution is skewed if Mean , Median , Mode are

----- is a measure of peakedness

Skewness may be ----

When the frequency curve is more peaken than normal curve it is called

----- are devices for measuring differences in the magnitude of a group of related variables

Index numbers are expressed in

In Laspear's Index number ---- year quantities are used

----- is not a factor responsible for seasonal variation

laspeyer's method and Paashe's method do not satisfy

Fisher's formula satisfies ---- test