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Advanced Statistics

Total questions: 140

Worksheet time: 1hrs 10mins

Name
Class
Date
1.

Analysis of labor turnover rates, performance appraisal, training programs and planning of incentives are examples of role of

a)

statistics in personnel management

b)

statistics in marketing

c)

statistics in finance

d)

statistics in production

2.

Focus groups, individual respondents and panels of respondents are classified as

a)

pointed data sources

b)

secondary data sources

c)

itemized data sources

d)

primary data sources

3.

Variables whose measurement is done in terms such as weight, height and length are classified as

a)

continuous variables

b)

flowchart variables

c)

measuring variables

d)

discrete variables

4.

Technique used to analyze unemployment rate, inflation rate anticipation and capacity utilization to manufacture goods is classified as

a)

data supplying technique

b)

data importing technique

c)

forecasting technique

d)

data exporting technique

5.

Numerical methods and graphical methods are specialized procedures used in

a)

social statistics

b)

descriptive statistics

c)

business statistics

d)

education statistics

6.

Measure of how well is a technique, concept or process is considered as

a)

continuity of variables

b)

validity

c)

goodness of variables

d)

reliability

7.

Branch of statistics which considers ratio scale and interval scale is considered as

a)

parametric statistics

b)

distribution statistics

c)

non-parametric statistics

d)

sampling statistics

8.

Reports on quality control, production and financial accounts issued by companies are considered as

a)

external secondary data sources

b)

external primary data sources

c)

internal secondary data sources

d)

internal primary data sources

9.

In every phenomenon, process of thought that focus on identifying, controlling and reduction of variations in data is classified as

a)

parallel thinking

b)

statistical thinking

c)

serial thinking

d)

managerial thinking

10.

Scale which categorize events in collectively exhaustive manner and mutually exclusive manner is classified as

a)

discrete scale

b)

valid scale

c)

continuous scale

d)

nominal scale

11.

Type of rating scale which allows respondents to choose most relevant option out of other stated options is classified as

a)

marking rating scale

b)

itemized rating scale

c)

graphical rating scale

d)

pointed rating scale

12.

Government and non-government publications are considered as

a)

external secondary data sources

b)

external primary data sources

c)

internal secondary data sources

d)

internal primary data sources

13.

Type of variable which can take fixed integer values is classified as

a)

flowchart variable

b)

continuous variable

c)

discrete variable

d)

measuring variables

14.

Data which is generated within company such as routine business activities is classified as

a)

external primary data sources

b)

external secondary data sources

c)

internal primary data sources

d)

internal secondary data sources

15.

Question which have different answers for its subparts is considered as

a)

double barreled questions

b)

multiple barreled questions

c)

single barreled questions

d)

dichotomous questions

16.

Analytical study of relationship between output commodity and its price is classified as

a)

demand analysis

b)

imports analysis

c)

supply analysis

d)

export analysis

17.

Process of converting inputs into outputs in presence of repeatedly same conditions is classified as

a)

Sampler

b)

Process

c)

parameters

d)

mixer

18.

Branch of statistics which deals with development of particular statistical methods is classified as

a)

industry statistics

b)

applied statistics

c)

economic statistics

d)

mathematical statistics

19.

Type of variable which can take any numerical figure for calculation is classified as

a)

continuous variable

b)

flowchart variable

c)

discrete variable

d)

measuring variable

20.

Tools such decision making by nominal groups, brain storming and term buildings are all considered as

a)

serial tools

b)

statistical tools

c)

behavioral tools

d)

parallel tools

21.

One of category of statistical method is

a)

managerial statistics

b)

inferential statistics

c)

decision science

d)

industry statistics

22.

Branch of statistics in which data is collected according to ordinal scale or nominal scale is classified as

a)

distribution statistics

b)

parametric statistics

c)

non-parametric statistics

d)

sampling statistics

23.

Time frame to complete a transaction in bank is classified as

a)

Parameters

b)

Mixer

c)

process

d)

sampler

24.

Type of rating scale which represents response of respondents by marking at appropriate point is classified as

a)

graphic rating scale

b)

pointed scale

c)

responsive scale

d)

marking scale

25.

Scale which is used to determine ratios equality is considered as

a)

satisfactory scale

b)

goodness scale

c)

ratio scale

d)

exponential scale

26.

Measurement scale which allows researchers and statisticians to perform certain operations on data collected from respondents is classified as

a)

interval scale

b)

validity scale

c)

reliability scale

d)

flow measuring scale

27.

Type of questions included in questionnaire to record responses in which respondent can answer in any way are classified as

a)

multiple choices

b)

open ended questions

c)

itemized question

d)

close ended questions

28.

Numerical or descriptive measure which is associated with variable to describe entire population of statistical phenomenon is classified as

a)

Mixer

b)

Parameter

c)

process

d)

sampler

29.

Scale used in statistics which provides difference of proportions as well as magnitude of differences is considered as

a)

satisfactory scale

b)

goodness scale

c)

ratio scale

d)

exponential scale

30.

Measurement scale in which values are categorized to represent qualitative differences and ranked in meaningful manner is classified as

a)

valid scale

b)

ordinal scale

c)

discrete scale

d)

continuous scale

31.

Measurement of how well particular concept and technique measures variables is classified as

a)

Reliability

b)

continuity of variables

c)

validity

d)

goodness of variables

32.

Data measurement which arises from a specific process of counting is classified as

a)

continuous data

b)

reliable data

c)

valid data

d)

discrete data

33.

Characteristics that are intended to be analyzed and investigated for a given population are classified as

a)

Exponents

b)

Variables

c)

constants

d)

exponential base

34.

If vertical lines are drawn at every point of straight line in frequency polygon then by this way frequency polygon is transformed into

a)

width diagram

b)

histogram

c)

length diagram

d)

dimensional bar charts

35.

Discrete variables and continuous variables are two types of

a)

open end classification

b)

qualitative classification

c)

time series classification

d)

quantitative classification

36.

In stem and leaf display diagrams used in exploratory analysis, stems are considered as

a)

central digits

b)

leading digits

c)

trailing digits

d)

dispersed digits

37.

Classification method in which upper limit of interval is same as of lower limit class interval is called

a)

exclusive method

b)

mid-point method

c)

inclusive method

d)

ratio method

38.

Type of cumulative frequency distribution in which class intervals are added in top to bottom order is classified as

a)

variation distribution

b)

more than type distribution

c)

less than type distribution

d)

marginal distribution

39.

Data based on workers salary is as 2500, 2700, 2600, 2800, 2200, 2100, 2000, 2900, 3000, 2800, 2200, 2500, 2700, 2800, 2600 and number of classes desired is 10 then width of class interval is

a)

400

b)

100

c)

300

d)

200

40.

Largest value is 60 and smallest value is 40 and number of classes desired is 5 then class interval is

a)

20

b)

25

c)

4

d)

15

41.

Summary and presentation of data in tabular form with several non-overlapping classes is referred as

a)

nominal distribution

b)

Chronological distribution

c)

ordinal distribution

d)

frequency distribution.

42.

Type of cumulative frequency distribution in which class intervals are added in bottom to top order is classified as

a)

more than type distribution

b)

variation distribution

c)

marginal distribution

d)

less than type distribution

43.

Distribution which shows cumulative figure of all observations placed below upper limit of classes in distribution is considered as

a)

cumulative frequency distribution

b)

class distribution

c)

upper limit distribution

d)

cumulative class distribution

44.

Frequency distribution which is result of cross classification is called

a)

bivariate frequency distribution

b)

univariate frequency distribution

c)

multi-variables distribution

d)

close ended distribution

45.

Halfway point between lower class limits and upper class limits is classified as

a)

nominal mid-point

b)

interval mid-point

c)

class mid-point

d)

ordinal mid-point

46.

Largest numerical value is 85 and smallest numerical value is 65 and classes desired are 8 then width of class interval is

a)

18.75

b)

13.75

c)

14.75

d)

2.5

47.

Stem and leaf displaying technique is used to present data in

a)

descriptive data analysis

b)

nominal data analysis

c)

exploratory data analysis

d)

ordinal data analysis

48.

If midpoints of bars on charts are marked and marked dots are joined by a straight line then this graph is classified as

a)

class interval polygon

b)

marked polygon

c)

paired polygon

d)

frequency polygon

49.

Graphical diagram in which total number of observations are represented in percentages rather than absolute values is classified as

a)

asymmetrical diagram

b)

grouped diagram

c)

ungrouped diagram

d)

pie diagram

50.

Number of observations are represented in percentages rather than absolute values is classified as

a)

asymmetrical diagram

b)

grouped diagram

c)

ungrouped diagram

d)

pie diagram

51.

Median, mode, deciles and percentiles are all considered as measures of

a)

mathematical averages

b)

sample averages

c)

population averages

d)

averages of position

52.

In two units of company, employees in unit one are 650 and monthly salary is $2750, employees in unit two are 700 and monthly salary is $2500 then combined arithmetic mean is

a)

$2,620

b)

$2,420

c)

$2,520

d)

$2,320

53.

If most repeated observations recorded are outliers of data then mode is considered as

a)

intended measure

b)

best measure

c)

percentage measure

d)

poor measure

54.

Number of observations are 30 and value of arithmetic mean is 15 then sum of all values is

a)

15

b)

200

c)

450

d)

45

55.

Value of Σfx is 180, A= 22, and width of class interval is 5, arithmetic mean is 120 then observations are

a)

59

b)

39.5

c)

30

d)

49.5

56.

Value of Σfx is 300, A= 35, number of observations are 15 and width of class interval is 5 then arithmetic mean is

a)

135

b)

150

c)

145

d)

235

57.

Quartiles, median, percentiles and deciles are measures of central tendency classified as

a)

paired average

b)

positioned averages

c)

deviation averages

d)

central averages

58.

Considering probability distribution, if mode is greater than median then distribution is classified as

a)

variable model

b)

left skewed

c)

right skewed

d)

constant model

59.

Frequency distribution whose most values are dispersed to left or right of mode is classified as

a)

Skewed

b)

Bimodal

c)

explored

d)

unimodal

60.

If arithmetic mean is 25 and harmonic mean is 15 then geometric mean is

a)

17.36

b)

15.36

c)

16.36

d)

19.36

61.

If central tendency is found by using whole population as input data then this is classified as

a)

sample statistic

b)

population tendency

c)

population statistic

d)

population parameters

62.

Criteria of inferential statistics which considers sum of squared deviations is classified as.

a)

central squares criterion

b)

multiple squares criterion

c)

outliers square criterion

d)

least squares criterion

63.

In a negative skewed distribution, order of mean, median and mode is as

a)

meanmode

b)

mean>median>mode

c)

mean

d)

mean>median

64.

Measure which describes detailed characteristic of whole data set is classified as

a)

average or central value

b)

negative skewed value

c)

positive skewed value

d)

positive extended value

65.

In arithmetic mean, sum of deviations of all recorded observations must always be

a)

Two

b)

One

c)

minus one

d)

zero

66.

Distribution whose outliers are higher values is considered as

a)

variable model

b)

left skewed

c)

right skewed

d)

constant model

67.

In quartiles, central tendency median to be measured must lie in

a)

first quartile

b)

second quartile

c)

third quartile

d)

four quartile

68.

Arithmetic mean is 12 and number of observations are 20 then sum of all values is

a)

8

b)

240

c)

32

d)

1.667

69.

At a grocery store, number of per day sold processed fruits cans in 15 days are 50, 70, 60, 40, 30, 20, 5, 150, 55, 75, 65, 45, 35, 25, 52 then outliers in observations are

a)

50, 150

b)

25, 70

c)

5, 150

d)

150

70.

Measure of central tendency which represents over time multiplicative effects for inflation and compound interest is considered a

a)

deviation square mean

b)

geometric mean

c)

paired mean

d)

harmonic mean

71.

Around central value of observations, extent to which values depart from normal distribution is classified as

a)

negative variation

b)

skewness

c)

positive variation

d)

positive trailing

72.

Product W has per unit contribution of 8 with sold quantity of 124 units, product X has per unit contribution of 5 with sold quantity of 105 units, product Y has per unit contribution of 9 with sold quantity of 135 units, product Z has per unit contribution of 12 with sold quantity of 140 units then weighted average mean is

a)

$11.75

b)

$9.75

c)

$10.75

d)

$8.75

73.

In measure of central tendency, population parameter is denoted by

a)

Greek letter μ

b)

roman letter μ

c)

Athens letter μ

d)

roman letter x ̅

74.

Type of central tendency measures which divides data set into 100 equal parts is classified as

a)

Quartiles

b)

deciles

c)

Percentiles

d)

multiple pile of data

75.

If value of three measures of central tendencies median, mean and mode then distribution is considered as

a)

negatively skewed modal

b)

unimodal

c)

triangular model

d)

bimodal

76.

If central tendency is found by using sample data from population then this is classified as

a)

tendency statistic

b)

average statistic

c)

sample statistic

d)

population statistic

77.

Product A has per unit contribution of 6 with sold quantity of 120 units, product B has per unit contribution of 8 with sold quantity of 100 units and product C has per unit contribution of 10 with sold quantity of 130 units then weighted average mean is

a)

$7.06

b)

$9.06

c)

$8.06

d)

$10.06

78.

If value of mode is 14 and value of arithmetic mean is 5 then value of median is

a)

12

b)

8

c)

18

d)

14

79.

Concept used in calculation of index numbers and where smaller observations must be taken into consideration is called

a)

deviation square mean

b)

geometric mean

c)

paired mean

d)

harmonic mean

80.

Distribution which has outliers with relatively lower values is considered as

a)

experimentally skewed

b)

exploratory skewed

c)

positively skewed

d)

negatively skewed

81.

Calculation of average which is calculated by pooling data together from different data sets is classified as

a)

geometric mean

b)

harmonic mean

c)

deviation square mean

d)

paired mean

82.

If arithmetic mean is 20 and harmonic mean is 30 then geometric mean is

a)

14.94

b)

24.94

c)

34.94

d)

44.94

83.

If quartile range is 24 then quartile deviation is

a)

48

b)

24

c)

12

d)

72

84.

If mean absolute deviation of set of observations is 8.5 then value of quartile deviation is

a)

7.08

b)

10.2

c)

9.08

d)

11.2

85.

Sum of all squared deviations is divided by total number of observations to calculate

a)

population deviation

b)

sample deviation

c)

population variance

d)

sample variance

86.

For recorded observation, ratios measured by absolute variation are considered as

a)

non-relative measures

b)

high uniform measures

c)

relative measures

d)

low uniform measures

87.

If arithmetic mean is multiplied to coefficient of variation then resulting value is classified as

a)

coefficient of deviation

b)

standard deviation

c)

coefficient of mean

d)

variance

88.

If arithmetic mean is considered as average of deviations then resultant measure is considered as

a)

close end deviation

b)

mean absolute deviation

c)

mean deviation

d)

variance deviation

89.

If positive square root is taken of population variance then calculated measure is transformed into

a)

standard root

b)

standard deviation

c)

standard variance

d)

sample variance

90.

Formula of coefficient of range is

a)

L+L⁄H+H

b)

H+H⁄L+L

c)

H-L⁄H+L

d)

H+L⁄H-L

91.

In a set of observations, amount of variation can be shown in form of figures with help of

a)

absolute measures

b)

non-uniform measures

c)

uniform measures

d)

exploratory measures

92.

If value of first quartile is 49 and value of third quartile is 60 then value of inter quartile range is

a)

21

b)

11

c)

31

d)

41

93.

If total sum of square is 20 and sample variance is 5 then total number of observations are

a)

15

b)

4

c)

25

d)

35

94.

coefficient of range is 0.077 then sum of highest and lowest value is

a)

210

b)

260

c)

220

d)

240

95.

In manufacturing company, number of employees in unit A is 40, mean is USD $6400 and number of employees in unit B is 30 with mean of Rs. 5500 then combined arithmetic mean is

a)

9500

b)

7014.29

c)

8000

d)

6014.2

96.

If quartile deviation of given set of data of 20 observations is 12 then value of standard deviation is

a)

1.667

b)

8

c)

18

d)

32

97.

High uniformity of 50% observations around median value is indicated with help of

a)

larger value of quartile deviation

b)

larger value of range deviation

c)

smaller value of quartile deviation

d)

smaller value of range deviation

98.

Relative measures in measures of dispersion are also considered as

a)

coefficient of deviation

b)

coefficient of variation

c)

coefficient of average

d)

coefficient of uniformity

99.

Standard deviation is divided by coefficient of variation to calculate

a)

arithmetic mean

b)

coefficient of variance

c)

coefficient of arithmetic

d)

multiplier of deviation

100.

If standard deviation is 7 then mean absolute deviation is

a)

9.75

b)

7

c)

5.6

d)

8.75

101.

According to empirical rule, standard deviation and mean interval that covers approximately 99.75% of data from a frequency distribution is

a)

4μ±4σ

b)

μ±3σ

c)

3μ±3σ

d)

2μ±2σ

102.

Theorem which states least percentage of values that fall within z-standard deviations is classified as

a)

Chebyshev's Theorem

b)

Pearson Theorem

c)

sampling theorem

d)

population theorem

103.

Categories of measures of dispersion are classified as

a)

uniform measures

b)

absolute measures

c)

relative measures

d)

both b and c

104.

Population variance is also called.

a)

sigma squared

b)

negative sigma

c)

square root

d)

cubic root

105.

Lesser uniformity of 50% observations around median value is indicated with help of

a)

larger value of range deviation

b)

larger value of quartile deviation

c)

smaller value of range deviation

d)

smaller value of quartile deviation

106.

If large number of values lies in central part of data table then spread of values is measured by

a)

percentile range

b)

quartile range

c)

inter quartile range

d)

deciles range

107.

Formula which considers relationship between set of observations, standard deviation and mean is classified as

a)

empirical value

b)

normal rule

c)

three way rule

d)

both a and b

108.

If calculated value of total sum of squares in sample variance is larger than variation in data set is considered as

a)

Smaller

b)

Zero

c)

greater

d)

negative

109.

Standard deviation of data is 12 and mean is 72 then coefficient of variation is

a)

14.67%

b)

12.67%

c)

16.67%

d)

13.67%

110.

Value of third quartile is 61 and inter quartile range of set of observation is 48 then value of first quartile is

a)

24

b)

64

c)

34

d)

13

111.

If in a formula, mean absolute deviation is numerator and arithmetic mean is denominator then resultant value is classified as

a)

coefficient of mean deviation

b)

coefficient of quartile range deviation

c)

coefficient of absolute quartile deviation

d)

coefficient of mean absolute deviation

112.

Technique which implies in statistical process to measure variation in data is called

a)

measures of dispersion

b)

measures of statistics

c)

measures of process

d)

none of above

113.

If standard deviation is 5 then quartile deviation is

a)

5

b)

0.234

c)

0.334

d)

0.134

114.

Value of third quartile is 72, second quartile is 52 and first quartile is 45 then quartile deviation is

a)

13.5

b)

16.5

c)

14

d)

18.5

115.

Undesirable consequences which causes estimated population variance to appear less as compared to real results are classified as

a)

undesired error

b)

non-calculate error

c)

bias

d)

non-zero error

116.

Measuring theorem which helps in determining proportion of observations for specific interval of mean and standard deviation is classified as

a)

Pearson Theorem

b)

sampling theorem

c)

Chebyshev's Theorem

d)

population theorem

117.

Considering individual values of data set, actual mean must always be

a)

1

b)

0

c)

−1

d)

2

118.

Considering set of observations, percentage of values that lies within population mean plus two standard deviations is

a)

60%

b)

75%

c)

55%

d)

85%

119.

Measure of variation which is useful for highly skewed distribution is

a)

inter quartile deviation

b)

inter quartile range

c)

quartile deviation

d)

quartile range

120.

Sum of highest and lowest value is 80 and coefficient of range is 0.625 then difference between highest and lowest value is

a)

70

b)

150

c)

100

d)

50

121.

Formula written as quartile deviation divided by sum of third and first quartile is used to calculate

a)

coefficient of quartile deviation

b)

coefficient of quartiles

c)

coefficient of inter quartiles

d)

coefficient of central tendency

122.

Standard deviation of first 50 natural numbers is

a)

45.43

b)

20.43

c)

14.43

d)

16.43

123.

Standard deviation of population is denoted by

a)

Ω

b)

σ

c)

ω

d)

Σ

124.

Output of 20 workers in hand made pot painting store is as 55, 65, 62, 60, 74, 75, 65, 70, 70, 72, 67, 78, 79, 80, 68, 54, 56, 63, 69, 71 then coefficient of range is

a)

0.29

b)

0.49

c)

0.19

d)

0.39

125.

If arithmetic mean is 78 and coefficient of variation is 12.3% then standard deviation is

a)

10.594

b)

9.594

c)

8.59

d)

11

126.

Value of first quartile is 23 and inter quartile range is 20 then value of third quartile is

a)

63

b)

43

c)

53

d)

73

127.

Sum of squared deviation of sample mean is 48 and total number of observation is 13 then population variance is

a)

61

b)

13

c)

48

d)

4

128.

Sum of observations is 12 and coefficient of absolute mean deviation is 18 then value of mean absolute deviation is

a)

516

b)

216

c)

716

d)

616

129.

Shape of frequency distribution constructed in consideration of empirical rule is classified as

a)

bell shaped

b)

wing shape

c)

tower shape

d)

fish shape

130.

According to empirical rule, mean and standard deviation interval that covers approximately 95.45% of data from a frequency distribution is

a)

μ±σ

b)

3μ±2σ

c)

2μ±2σ

d)

μ±2σ

131.

Output of 15 workers in hand made leather shoes company is as 50, 65, 70, 55, 62, 74, 75, 65, 70, 78, 79, 80, 68, 72, 67 then range is

a)

30

b)

75

c)

80

d)

79

132.

If scatter or dispersion in distribution is high on each side then this indicates

a)

outliers of data

b)

high uniformity of data

c)

low uniformity of data

d)

dispersion of data

133.

Technique used in measures of variations to show direction of variation in set of observations is classified as

a)

measures of dispersion

b)

measures of statistics

c)

measures of skewness

d)

measures of process

134.

Total revenue (in crores) of five leather goods companies are as two companies have revenues between 10-20, one company has revenue between 20-30 and one company has revenue between 30-40 then standard deviation is

a)

7.9

b)

5.9

c)

4.9

d)

6.9

135.

In classes of grouped data such as 10-15, 16-20, 21-25, 26-30 with respective frequencies of each class as 3, 5, 4, 3 then range is

a)

5

b)

15

c)

6

d)

20

136.

Measures which considers mean or median to calculate average deviation does not includes

a)

mean absolute deviation

b)

variance

c)

standard deviation

d)

median deviation

137.

Variability measuring tool in which standard deviation is divided by arithmetic mean and multiplied by 100 is classified as

a)

coefficient of variation

b)

coefficient of standard deviation

c)

coefficient of deviation

d)

coefficient of mean

138.

Considering set of values, percentage of values that lies within three standard deviation of population plus population mean is

a)

88.90%

b)

68.90%

c)

78.90%

d)

98.90%

139.

For a given set of number of customers who visit a shoes shop in 5 consecutive days, mean absolute deviation is 10 then standard deviation of data set is

a)

2

b)

12.5

c)

10

d)

50

140.

Inter quartile range and coefficients of range are two categories of

a)

average deviation measures

b)

average measures

c)

availability measures

d)

distance measures