B.Com Accounting & Finance Descriptive Statistics — practice questions
89 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice B.Com Accounting & Finance Descriptive Statistics in the app →In a stem-and-leaf graph, what does the leaf of each observation consist of?Using the stem-and-leaf method, what are the stem and the leaf of the number 5,432?An observation that does not fit the rest of a data set is called an outlier. What is the other name given to In a side-by-side stem-and-leaf plot that compares two data sets, what do the two sets share?A rule of thumb decides when a histogram is the right display. From what size of data set upward is it recommeThree students in a class of 40 scored between 90 percent and 100 percent. What is the relative frequency of tFor clarity, how many bars or classes do many histograms use?All the values in a data set are whole numbers and the smallest is two. What is the convenient starting point Heights run from a starting point of 59.95 to an ending value of 74.05 and are to be split into eight bars. WhWhat distinguishes the bars of a bar graph from the boxes of a histogram?A two-way table records pets. Eight men own pets: four dogs, two cats and two fish. What is the conditional diWhat must the conditional distributions across all categories of one subpopulation add up to?Setting two pie charts of government revenue side by side for two different years is criticised as an error. WWhich manipulation of a histogram wrongly inflates the apparent importance of one category?Who wrote How to Lie with Statistics, a work built on real examples designed to mislead?When a time series graph is constructed, what goes on the horizontal axis?The first quartile of an ordered data set is the same as which percentile?How is the interquartile range of a data set obtained?The interquartile range measures the spread of which part of a data set?A value is suspected to be a potential outlier when it falls outside which pair of limits?Thirteen ordered house prices have a median of 488,800. The lower half runs 114,950; 158,000; 230,500; 387,000For 13 house prices Q1 is 308,750, Q3 is 649,000 and 1.5 times the IQR is 510,375. Which price is flagged as aA day class has quartiles 56 and 82.5 while a night class has quartiles 78 and 89. What do the two interquartiA night class has Q1 = 78, Q3 = 89 and an interquartile range of 11. Below what test score is a value treated Which expression gives the index used to locate the kth percentile in an ordered set of n values?For 29 ordered ages the 21st value is 64 years and the 22nd is 67 years. Using i = (k/100)(n + 1), what is theFor 29 ordered ages the index for the 83rd percentile is 24.9. The 24th age is 71 and the 25th is 72. What is Which expression gives the percentile of a particular value, where x counts values below it and y counts valueIn a list of 29 ages, 18 ages are below 58 and one age equals 58. What percentile is the age 58?Jesse ranked 37th in a graduating class of 180 students, so 143 students ranked below him. At what percentile Fifty students report their nightly sleep. The cumulative relative frequency reaches 0.28 at six hours and theIn the same sleep survey of 50 students the 40th ordered value is eight hours and the 41st is nine hours. WhatOn a timed maths test the first quartile for finishing time was 35 minutes. Which reading of that is correct?Exercise minutes for 15 students give Q1 = 20, median 40, Q3 = 60 and a maximum of 300. Which value is a potenThe 34th percentile of housing prices in a town is 240,000, and that is the most you can afford. What share ofSixty-five car salespersons report weekly sales: 14 sell three cars, 19 sell four, 12 sell five, nine sell sixFor the same 65 salespersons the first quartile is four cars and the third quartile is six cars. What is the iMust a quartile always be one of the observed values in a data set?Scoring in the 90th percentile of an examination means what?Which measure of centre is generally better when a data set contains extreme values?A sample has 100 values. Where does the median sit in the ordered data?For 40 ordered survival times the median location is 20.5, and both the 20th and 21st values are 24 months. WhIn a town of 50 people one person earns 5,000,000 a year and the other 49 each earn 30,000. What is the mean iIn that town of 50 people the mean income is 129,400 and the median is 30,000. Which measure describes the cenWhat name is given to a data set in which two values share the highest frequency?Twenty exam scores include 72 five times, 84 three times and every other score at most twice. What is the modeFor the data red, red, red, green, green, yellow, purple, black and blue, what can be reported?When only grouped data are available, how is the midpoint of each class interval found?For a grouped test score table the sum of frequency times midpoint is 1460.25 and the total frequency is 19. WA class of seven students has a mean test grade of 82. Six of the grades are 80, 82, 86, 90, 90 and 95. What iThe mean of 20 prices is 10.39. Five of the items have a mean of 10.99. What is the mean of the other 15 priceA sample holds three 1s, two 2s, one 3 and five 4s, eleven values in all. What is the sample mean to one decimBoat lengths at a marina include 25 three times and 27 three times, with no other length appearing more than tIn the formula for a mean, what does the Greek capital letter sigma instruct you to do?What is required of a sample if its mean is to be a good estimate of the population mean?Ten shelter animals have ages that add up to 78 years. What is the sample mean age?The numbers 10, 51.2 and 8 multiply together to give 4,096. What is their geometric mean?For n positive values, how is the geometric mean formed?Annual returns are converted to decimal multipliers whose geometric mean is 1.0167. What is the average rate oWhy does the geometric mean formula require every value to be greater than zero?What is the geometric mean of the data set 5, 10 and 20?An investment grows from 10,000 to 22,000 over five years. What is the average rate of return per year?Why does the arithmetic mean of a series of annual growth rates overstate the true average growth?In a perfectly symmetrical distribution, how do the mean and the median compare?A distribution skewed to the left has mean 6.3, median 6.5 and mode 7. What ordering does that illustrate?For the data 6, 7, 7, 7, 7, 8, 8, 8, 9, 10 the median is 7.5 and the mode is seven. What is the mean, and whatWhat does a negative value of the skewness measure tell you about a distribution?The arithmetic mean is the first moment of a distribution. Which moments are the variance and the skewness?Which statement correctly contrasts the variance with the skewness?What is the skewness of a normal distribution?Of the mean, the median and the mode, which reflects skewing the most, and why?For the data 11, 11, 12, 12, 12, 12, 13, 15, 17, 22, 22, 22 the mode is 12 and the median is 12.5. Which measuWhat does the standard deviation of a data set measure?When the squared deviations are averaged, which divisor is used for a sample and which for a population?How is the standard deviation obtained once the variance is known?If you add up all the deviations of the values from their mean, what do you get?For a sample of 20 ages the frequency weighted squared deviations total 9.7375. What is the sample standard deFor 31 exam scores the first quartile is 61 and the third quartile is 90. What is the interquartile range?A grouped table of 26 values gives a total of 306.35 for the frequency weighted squared deviations. What is thA z-score records how many standard deviations a value lies from its mean. How is it computed?John scores 2.85 where his school mean is 3.0 with deviation 0.7. Ali scores 77 where his school mean is 80 wiWhatever the shape of the data, at least what share of it lies within two standard deviations of the mean?For data following a normal distribution, roughly what share lies within one standard deviation of the mean?When does the rule about 68 percent, 95 percent and 99 percent of the data apply?Why is the coefficient of variation used when comparing two data sets?Which of these is named as a common type of variability in samples?What effect does squaring the deviations have on values far from the mean?Two supermarkets both average a five minute wait. A has a standard deviation of two minutes and B has four. WhWhat does a standard deviation of exactly zero tell you about a data set?