TS EAMCET Statistical Dispersion — practice questions
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Practice TS EAMCET Statistical Dispersion in the app →Which of these describes the centre of data rather than its spread?Another name for statistical dispersion isIf every observation in a data set is identical, any dispersion measure equalsThe standard deviation is the square root of theA data set has a standard deviation of 5. Its variance isIf the variance of a distribution is 49, its standard deviation isIf heights are measured in metres, the variance is expressed inWhich dispersion measure is expressed in the same unit as the data?The population variance of the observations 3, 5, 7, 9, 11 isThe marks 2, 4, 4, 4, 5, 5, 7, 9 form a whole population. Its standard deviation isThe population standard deviation of just two values, 6 and 14, isData have mean 5 and mean of squares 34. The standard deviation isA variable has mean 6 and E(X squared) = 45. Its variance isEvery value is tripled and the original standard deviation was 2. The new one isAdding 10 to every value of a data set with SD 4.5 gives a new SD ofData of variance 3 are each multiplied by 4. The new variance isFor roughly normal data, the share within one SD of the mean is aboutNormal data have mean 50 and SD 10. The share between 30 and 70 is aboutNormal data have mean 100 and SD 15. About 99.7% of values lie betweenThe 68-95-99.7 rule for normal data is also called theChebyshev's inequality about data within k SDs of the mean holds forBy the range rule, near-normal data with range 40 have SD aboutA population has SD 20. The standard error of the mean for samples of 25 isWith SD 15 and a sample of 36, the standard error of the mean isIf the sample size is made four times larger, the standard error of the mean becomesUncorrelated variables have variances 9 and 16. Their sum has SDUncorrelated X and Y have SDs 6 and 8. The SD of X + Y isThe sum of squared deviations of data is least when taken about theStock A has SD 20 points and Stock B has 30 points. Which is riskier?Two cities share an average maximum temperature. Which has the smaller SD?Sets P {0,0,14,14}, Q {0,6,8,14}, R {6,6,8,8} all have mean 7. Smallest SD?The population {0, 0, 14, 14} has mean 7. Its standard deviation isA small standard deviation shows that the values areStandard deviation is usually denoted by which Greek letter?Which measure is robust, being unaffected by a few outliers?If the first quartile is 12 and the third quartile is 30, the IQR isThe data 5, 6, 7, 8, 9 have range 4. Replacing 9 by 50 makes the rangeWhich measure is a more direct average distance from the mean than SD?The mean absolute deviation about the mean for 2, 4, 6, 8, 10 isVariance computed from only a subset of observations is calledTechnically, variance is which moment of a distribution?The variance of the score on one roll of a fair die isThe standard deviation of one roll of a fair die is aboutA five-sigma result corresponds to a random fluctuation chance of aboutA measure of dispersion can never beX has SD 3 and Y = -2X + 5. The standard deviation of Y isData with SD 4 have 5 subtracted from each value, then are doubled. New SD?