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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*