CBSE Class 11 (Science) Statistics — practice questions
93 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Statistics in the app →The relationship between degree measure and radian measure is:In a circle of radius r, an arc of length l subtends a central angle θ (in radians) such that:For all real x, the value of sin²x + cos²x is:Convert 40°20′ to radian measure.A wheel makes 360 revolutions in one minute. Through how many RADIANS does it turn in one second?The minute hand of a watch is 1.5 cm long. The distance the tip moves in 40 minutes is (use π = 3.14):The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:If two arcs of equal length subtend angles of 65° and 110° at the centres of two circles, the ratio of the radIf cos x = -3/5 and x lies in the THIRD quadrant, then sin x equals:If cot x = -5/12 and x lies in the SECOND quadrant, then sin x equals:In which quadrant is tan x POSITIVE while sin x is NEGATIVE?The DOMAIN of y = tan x is:sin(2nπ + x) equals (for any integer n):The RANGE of y = sec x is:At which of the following x-values is cos x equal to zero?The value of cos(-π/3) is:6 radians converts to approximately:An angle of $90^\circ$ in radians is:The value of $ in(\pi/4)$ is:The identity $ in 2A$ equals:The angle 90° in radians is:The fundamental Pythagorean identity in trigonometry is:The exact value of cos 60° is:The double angle formula sin 2A equals:The general solution of sin θ = 1/2 is:The principal value range of sin⁻¹(x) is:In a triangle ABC, the Law of Sines states:The function f(x) = tan x has vertical asymptotes at:Measures of central tendency alone give information that is:Besides central tendency, the other factor studied in statistics is:A single number describing the variability of data is a measure of:Which of these is listed as a measure of dispersion?The range gives an idea of variability that is only:The range does not tell about dispersion from a measure of:The deviation of an observation x from a fixed value a is:The sum of deviations of observations from their mean is always:Because signs cancel, the sum of deviations from the mean may:Mean deviation about the mean is described as not very:Mean deviation is calculated using values of deviations that are:Using absolute values means mean deviation cannot be given further:The measure introduced to overcome the drawbacks of mean deviation is:Mean deviation and standard deviation have the same units as the:A measure of variability independent of units is the coefficient of:The coefficient of variation is useful for comparing series measured in:A larger range means the scores are more:Standard deviation is a measure of:A batsman's scores run from 0 to 117. What is the range?How is the range of a series calculated?Why are absolute values of deviations taken for the mean deviation?What is the mean deviation about the mean of 2, 4, 6, 8, 10?Find the mean deviation of 1, 5, 9 taken about the value 4.Values 10, 20, 30 occur 3, 4 and 3 times. Find the mean deviation about the mean.Classes 10-20, 20-30, 30-40 have frequencies 1, 2, 1. Mean deviation about the mean?Mean deviation can be taken about which of these?Why is mean deviation less suited to further algebraic work?How is the variance of n observations defined?A data set has variance 25. What is its standard deviation?A data set has standard deviation 7. What is its variance?Observations are in metres. In what unit is the standard deviation?Heights are in cm. In what unit is the variance expressed?What is the variance of the data 2, 4, 4, 4, 5, 5, 7, 9?Squared deviations total 90 for 10 observations. Find the standard deviation.Find the variance of 6, 8, 10, 12, 14, 16, 18, 20, 22, 24.What is the standard deviation when every observation is the same?Values 0, 2, 4 occur 1, 2 and 1 times. Find the variance.Twenty observations have variance 5. Each is doubled. New variance?Ten is added to every observation whose standard deviation is 6. New SD?Every observation is tripled. If the SD was 4, what is the new SD?If y = 2x + 3 and x has variance 9, what is the variance of y?If u = (x - 100)/5 has standard deviation 3, find the SD of x.Five data have mean 4.4; three are 1, 2, 6. Sum of the other two?A mean of 40 over 100 values used 50 for a true 40. Correct mean?What is standard deviation in terms of the variance?In notation, the variance is written as which of these?Which dispersion measure is based on squared deviations?Which measure of spread uses only the largest and smallest values?Who first used the term standard deviation in writing, in 1894?Before the name standard deviation, Gauss called the idea what?Karl Pearson founded a statistical laboratory in England in which year?Which test did Karl Pearson discover?A standard deviation of zero means the data are what?Roughly what share of normal data lies within one SD of the mean?Within two standard deviations of the mean, normal data hold about:Three standard deviations either side of the mean cover what share of normal data?A population SD is 20 and sample size 25. What is the standard error of the mean?Data have mean 4 and average of squares 20. What is the SD?Five values total 40 and their squares total 380. Find the variance.In finance, a larger variance in returns suggests what?Adult men average 69 in with SD 3 in. About 68% lie between which heights?Squared deviations total 1750 over 6 values and 2480 over 31. Which varies more?Why isn't the sum of squared deviations a proper measure of dispersion?Two sets share the same mean and median. What can still differ?A measure of central tendency tells us what about data?