TS EAPCET (Engineering) Statistical Dispersion — practice questions
40 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) Statistical Dispersion in the app →The eight marks 2, 4, 4, 4, 5, 5, 7, 9 have mean 5. What is their population standard deviation?A shopkeeper records daily sales of 12, 7, 19, 3 and 15 units. What is the range of these sales?Find the population variance of the numbers 2, 4, 6, 8 and 10.A data set has variance 9. What is its standard deviation?A set of scores has a standard deviation of 5. What is the variance of the scores?Every value in a data set with standard deviation 4 is multiplied by 3. The new standard deviation isThe variance of some readings is 5. If each reading is tripled, the variance becomesA batch of bulbs has mean life 50 hours and standard deviation 5 hours. Its coefficient of variation isWhat is the mean deviation about the mean for 2, 4, 6, 8 and 10?Find the mean absolute deviation about the median for the numbers 5, 7, 8, 10 and 15.The first quartile of a data set is 10 and the third quartile is 26. Its interquartile range isWhat is the population variance of the first five natural numbers 1, 2, 3, 4, 5?For ten observations, the sum of values is 50 and the sum of their squares is 300. The variance isThe mean of squared values is 34 and the mean of the values is 5. The standard deviation isA sample of 5 values has squared deviations about its mean summing to 40. The unbiased sample variance isBessel's correction changes the divisor in the sample variance from n toFor a normal distribution, roughly what share of values lies within two standard deviations of the mean?In a bell-shaped normal distribution, the interval mean plus or minus one SD holds aboutAdult male height has mean 69 inches and SD about 3 inches. About 68% of men are betweenChebyshev's inequality about data within a number of standard deviations holds forWho first used the term standard deviation in writing, in the year 1894?Which earlier name for the same idea as standard deviation did Gauss use?Four siblings have ages 0, 6, 8 and 14 years, with standard deviation 5. In what unit is that 5?Lengths are measured in metres. The variance of those lengths is expressed inWeights are recorded in kilograms. The standard deviation of the weights is measured inWhich measure of spread is least affected by a few extreme outliers?Dispersion is contrasted with which other main property of a distribution?Dispersion in statistics is also calledStock A averaged 10% return with SD 20 points; stock B averaged 12% with SD 30 points. Which carries less riskIn finance, the standard deviation of an asset's returns is mainly used to gauge itsA particle physics discovery at 5 sigma corresponds to a chance of a random fluctuation of aboutSquared deviations summed about which point are smallest, making the SD from the mean the natural spread?If a constant is added to every value of a variable, its varianceA variable X equals 0 or 2, each with probability 1/2. Its variance isLet X be the number of heads in two fair coin tosses. The variance of X isThe standard deviation is built on which kind of distance of values from the mean?The standard error of the sample mean is the standard deviation of theVariance is which central moment of a distribution?A low standard deviation indicates that the valuesWhen the variance of a data set is large, the data are