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Multiple Choice Questions (MCQs): 
MCQ1: 1st quartile = 2.5th Decile = ___
Answer: 11th Percentile

MCQ2: 2nd quartile = 5th Decile =?
Answer: 2nd Percentile

MCQ3: Given the set of observation as: - 7, 12, 18, 15, 20, 19, 16, 13, 23 and 17. Find: the lower quartile
Answer: 11

MCQ4: Given the set of observation as: - 7, 12, 18, 15, 20, 19, 16, 13, 23 and 17. Find: the semi-interquartile range
Answer: 1

MCQ5:  A ___ is one part when a distribution is broken down into ten equal parts or divisions
Answer: Percentile

MCQ6: Given a set of scores as: 17, 23, 13, 12, 16, 7, 19, 20, 18 and 15. Find the 8th decile
Answer: 12.4

MCQ7: A ___ is one part when a distribution is divided into one hundred (100) equal parts
Answer: Set of data

MCQ8: ___ is a general class of measures used in measuring the central tendency and  dispersion
Answer: Equation

MCQ9: Charlier’s check and Sheppard’s correction are used to guide against ___
Answer: Data error

MCQ10: ___ is the degree of asymmetry or departure from symmetry of a distribution 
Answer: Skewness

MCQ11:  ___ is defined as a measure of departure of a distribution from symmetry
Answer: Model

MCQ12: For skewed distributions, the mean tends to lie on the same side of the ___
Answer: Line

MCQ13: ___ is defined as the degree of peakness of a distribution when it is compared  with  a normal  distribution
Answer: Calculated figure

MCQ14:  A normal distribution  which is not very peaked or very low flat topped; is called ___ distribution
Answer: mesokurtic  

MCQ15: A  ___ distribution is a normal distribution that is symmetrical
Answer: mesokurtic 

MCQ16: A distribution which is flat topped is said to be ___ distribution
Answer: Leptokurtic

MCQ17: A ___ distribution is the one that has the highest or greatest peakness among the three forms 
Answer: Data

MCQ18: ___, as a feature of a frequency distribution is measured using different approaches
Answer: Kurtosis

MCQ19: ___ co-efficient of kurtosis measure made use of the fourth moment about the mean and the variance
Answer: Efficient Moment

MCQ20: Twenty percent of electric bulbs manufactured by a company are found to be defective. Find the moment co-efficient of kurtosis for a distribution of defective bulbs in a total of 2,000 and interpret the result
Answer: 2.00081

MCQ21: Given that Q1  = 52, Q3  = 91, P90  = 120 and P10  = 92, find the percentile co- efficient of kurtosis and comment on the peakness of the distribution.
Answer: 0.421

MCQ22: The standard deviation of a symmetrical distribution is 4.8. What should be the value of the fourth moment about the mean in order for the distribution to be  Mesokurtic
Answer: 1320.41

MCQ23: The standard deviation of a symmetrical distribution is 4.8. What should be the value of the fourth moment about the mean in order for the distribution to be Platykurtic 
Answer: 1592.52

MCQ24: The standard deviation of a symmetrical distribution is 4.8. What should be the value of the fourth moment about the mean in order for the distribution to be Leptokurtic
Answer: 1592.52

MCQ25:  A simple event is any single outcome from a ___ experiment
Answer: Set of data 

MCQ26: In probability, an experiment is any process that can be repeated in  which  the  results  are ___
Answer: Uncertain

MCQ27: ___ Probability is a measure of the likelihood of a random phenomenon or chance behaviour
Answer: Data analysis

MCQ28: ___ space is the outcomes in an experimental probability cannot be decomposed into more basic parts
Answer: Sample size 

MCQ29:  ___ is the ratio of the number of expected outcome to the number of all possible outcomes
Answer: Non Probabbility

MCQ30: If the probability that it will rain in Lagos is ¼, what is the probability that it will NOT rain in lagos?
Answer: 0.34

MCQ31: Two events are said to be mutually ___ if the occurrence of either excludes the possibility of the occurrence of other  event
Answer: Exclusive

MCQ32: In a toss of a fair die, what is the probability that a 5 is rolled, given that the die comes up odd.
Answer: 1/3

MCQ33: In a toss of a fair die, what is the probability that the die comes up odd, given that 5 is NOT rolled?
Answer: ¼

MCQ34: If a dice is picked at random, what is the probability that it is white and the score obtained from it is even?
Answer: 1/3  

MCQ35: If a dice is picked at random, what is the probability that it is red with even score or a yellow with red score?
Answer: 1/9

MCQ36: The ____ diagram of the set theory is sometimes used in solving probability problems
Answer: Venn 

MCQ37: Given that the probability that Ayo attends a party is independent of Bolu attending the same party. If the probability that Ayo attends is 2/3 and the probability that Bolu attends is 3/5. Find the probability that both of them attend the party.
Answer: ½

MCQ38: Given that the probability that Ayo attends a party is independent of Bolu attending the same party. If the probability that Ayo attends is 2/3 and the probability that Bolu attends is 3/5. Find the probability that either of them attend the party
Answer: 7/5

MCQ39: Bayes theorem (otherwise known as inverse probability) was put forward by Thomas Bayes in his attempt to manipulate the formula for conditional probability in _____
Answer: 1761

MCQ40: 30% of the total output of a factory is produced in a workshop A while 70% is produced in workshop B. Also, 15 out of every 1000 components produced in A  are  defective  and  8  out  of  every  1000  component  produced  in  B  are defective. If a component drawn at random from a mixture of the output of A and B is found to be defective, what is the probability that, it is from workshop A?  
Answer: 0.41

MCQ41: If a die is tossed 1 or 2 results a marble picked from bag a which contains 2 white and 3 red marbles; if 3, 4, or 5 results a marble picked from bag B which contains 1 white and 4 red balls while if 6 results a marble is picked from bag C which contains 3 white and 2 red balls. The experiment, when carried out results in a red ball being picked. Calculate the probability that the result of 6 is obtained from the tossed die.
Answer: 0.3

MCQ42: In a toss of three coins, what is the probability of obtaining at least a tail?
Answer: 1/7

MCQ43: Five coins are tossed, what is the probability that they all show the same faces?
Answer: 2/7

MCQ44: Six coins are tossed. Find the probability of obtaining a head.
Answer: 3/7

MCQ45: In a toss of 2 dice what is the probability of obtaining a total sum of 10
Answer: 1/10

MCQ46: In a toss of 2 dice what is the probability of obtaining a sum less than 8
Answer: 2/7 

MCQ47: In a toss of 2 dice what is the probability of obtaining same score
Answer: 1/3

MCQ48: In a toss of 2 dice what is the probability of obtaining one of the score being ‘3’
Answer: 5/18

MCQ49: Three dice are tossed, what is the probability of obtaining the same score throughout?
Answer: 1/20

MCQ50: If a pack of a playing card properly shuffled, what is the probability of picking a Diamond card with and odd number?
Answer: 7/13

Fill in the Blank (FBQs): 
FBQ1: The aspect of decision-making that has to do with numerical information is known as ___
Answer: *Statistics*

FBQ2: ___ presents facts in a definite, lucid and concise form so that  the  facts  are  readily  available  for  making  valid  conclusions
Answer: *Statistics*

FBQ3: A  statistical  ___ is an investigation  carried out to collect statistical data which  may be  analysed  and  presented  in  the  form  that  will  aid  effective decision making
Answer: *Inquiry*

FBQ4: ___ statistics, the data collected describes the situation that existed at the point in time when the census was taken
Answer: *Descriptive*

FBQ5: ___ refers to a set or collection of usable information. 
Answer: *Data*

FBQ6: A ___ data is a type of data collected directly from the source
Answer: *Primary*

FBQ7: An ___ is an arrangement of raw numerical data in ascending or descending order of magnitude
Answer: *Array*

FBQ8: ___ variables allow  for  classification  of  individuals based on some attributes or characteristics.
Answer: *Qualitative*

FBQ9: ___ variables on the other hand are numerically valued variable
Answer: *Quantitative*

FBQ10: A ___ variable is a variable whose possible values can be listed, even though the list may continue indefinitely
Answer: *Discrete*

FBQ11: ___ variable on  the  other  hand  is  a  quantitative  variable  whose possible values form some intervals of numbers
Answer: *Continuous*

FBQ12: A ___ is just part selected to represent the population
Answer: *Sample*

FBQ13: ___ refers to the whole of any group of individuals or items whose members (units) possess the same basic and clearly defined characteristics
Answer: *Population*

FBQ14: A ___ sample of n experiment  has been defined as the individual selected from population in such a way that every different sample of size n has an equal chance of selection
Answer: *Random*

FBQ15: ___ Sampling  is  where  a  series  of  samples  are  taken  at successive stages 
Answer: *Multi-Stage*

FBQ16: ___ Sampling is a sample in which the individuals are easily obtained
Answer: *Convenience*

FBQ17: ___ error is the error that results from using sampling to estimate information regarding a population
Answer: *Sampling*

FBQ18: In  complete ___, each and every individual of the group to which the data relates is covered and information gathered for each individual separately 
Answer: *Enumeration*

FBQ19: A ___  of  experiment is a carefully designed form to be completed by the respondent
Answer: *Questionnaire*

FBQ20: ___  method  is  of  interest  to  the production managers, engineers the scientist
Answer: *Report*

FBQ21: Established extraction from already___ is one of the commonest ways of collecting secondary data. 
Answer: *Result*

FB22: An ___ data is an array of information such that each item has its own individual frequency or occurrence
Answer: *Ungrouped*

FBQ23: A ___ is an orderly arranged list of information, facts or data
Answer: *Table*

FBQ24: A ___ is a pictorial presentation of the relationship between variables
Answer: *Graph*

FBQ25: A ___ shows the breakdown of the total values for a given information into their component parts
Answer: *Component bar chart*

FBQ26: A ___ is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency
Answer: *Pareto chart*

FBQ27: A ___ is a circle divided by radial lines into sections (like slices of a cake or pie; hence the name) so that the area of each section is proportional to the size of the value represented
Answer: *pie chart*

FBQ28: A ___ is simply a graph that extends over a single year and incorporates
Answer: *Z-chart*

FBQ29: The relative frequency ___ is the graph that displays the classes on the horizontal axis and the relative frequencies of the classes of the vertical axis.
Answer: *Histogram*

FBQ30: Measures  of  ___ are  the  statistical  estimates  which  show  the degree  to  which  any given  set of value or data  will converge  towards the central point of the data
Answer: *central tendency*

FBQ31: The net weights of the content of 5 coke bottles selected at random are 85.4, 84.9,  85.3,  85.0  and  85.4.  What is  the  arithmetic  mean  of  the  sample observation? 
Answer: *85.2kg*

FBQ32: If a final examination in a course is weighted 3 times as much as a quiz and a student has a final examination grade of 85 and quiz grades of 70 and 90, calculate the mean grade?
Answer: *N 7.04*

FBQ33: Find the harmonic mean of 2, 3, 4, 5, 6.
Answer: *3.45*

FBQ34: Find the harmonic mean of 2, 4, 8
Answer: *3.43*

FBQ35: Find the Root Mean Square of the following seta of data 1, 3, 4, 5, 7
Answer: *4.47*

FBQ36: Find the Root Mean Square of the following seta of data 1, 2, 4, 5, 3  
Answer: *4*

FBQ37: Find the median of each of the following sets of information 3, 2, 2, 5, 1, 4, 3, 2, 1, 5 and 2.
Answer: *6th item*

FBQ38: Find the median of each of the following sets of information 3, 6, 5, 4, 2, 4, 8, 4, 6, 8, 9 and 10
Answer: *6*

FBQ39: The median of a set of grouped data can be determined geometrically in two ways: histogram and ___ frequency curve.
Answer: *Cumulative*

FBQ40: The ___determined from a histogram, is the value on the variable axis through which a vertical line, dividing the histogram into two equal areas, passes.
Answer: *Median*

FBQ41: The measure of dispersion estimate the extent or degree to which values in a set of data tend to spread around or about the average ___
Answer: *Value*

FBQ42: The ___  is  the  simplest  of  all  the  measure  of  dispersion
Answer: *Range*

FBQ43: The ___ deviation refers to the arithmetic average of all deviation in a distribution from the mean
Answer: *Mean*

FBQ44: One advantage of mean ___ is that, it presents a good picture of the data because every item is taken into account
Answer: *Deviation*

FBQ45: One measure of dispersion which is very reliable is the variance of the mean ___ deviation
Answer: *Square*

FBQ46: The  actual  variation  or dispersion,  as determined  from  the standard deviation  or  other  measure  of  dispersion   is  called   the ___ dispersion
Answer: *Absolute*

FBQ47: The measure of ___  refers to the statistical estimates obtained as a result of breaking data or other quantitative or qualitative information into groups, parts or divisions
Answer: *Partitions*

FBQ48: When data is broken down into four equal parts or division, each part or division is called a ___ 
Answer: *Quartile*

FBQ49: When data is broken down into ten equal parts or division, each part or division is called a ___
Answer: *Decile*

FBQ50: In breaking a data into one-hundred equal parts, each portion or part is called a ___
Answer: *Percentile*