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LIMITS AND DERIV ATIVES - NCERT

V Statistics may be rightly called the science of averages and theirestimates. & BODDINGTON IntroductionWe know that statistics deals with data collected for specificpurposes. We can make decisions about the data byanalysing and interpreting it. In earlier classes, we havestudied methods of representing data graphically and intabular form. This representation reveals certain salientfeatures or characteristics of the data. We have also studiedthe methods of finding a representative value for the givendata. This value is called the measure of central mean (arithmetic mean), median and mode are threemeasures of central tendency. A measure of centraltendency gives us a rough idea where data points arecentred. But, in order to make better interpretation from thedata, we should also have an idea how the data are scattered or how much they arebunched around a measure of central now the runs scored by two batsmen in their last ten matches as follows:Batsman A : 30, 91, 0, 64, 42, 80, 30, 5, 117, 71 Batsman B :53, 46, 48, 50, 53, 53, 58, 60, 57, 52 Clearly, the mean and median of the data areBatsman ABatsman BMean5353 Median5353 Recall that, we calculate the mean of a data (denoted by x) by dividing the sumof the observations by the number of observations, ,13 ChapterSTATISTICSKarl Pearson (1857-1936)Rationalised 2023-24258 MATHEMATICS11niixxn== Also, the median is obtained by first arrang

LIMITS AND DERIVATIVES 283 = 2 2 Distance travelled in seconds 19.6 2 t t − − The following Table 13.3 gives the average velocity v in metres per second between t = 2 seconds and t 2 seconds. Table 13.3 t 2 4 3 2.5 2.2 2.1 2.05 2.01 v 29.4 24.5 22.05 20.58 20.09 19.845 19.649

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