Comment briefly on the following statements : (i) A computer obtained the standard deviation of 20 observations whose values ranged from 65 to 85 as 25. (ii) A student obtained the mean and variance of a set of 10 observations as 10, – 5 respectively. (iii) The range is the perfect mea m&tA¨variability as it includes all the measurements. (iv) For the distr:bution of 5 obsem Bns : 8, 8, 8, 8, 8; mean = 8 and variance = 8. (v) If the mean and s.d. of distribution A are smaller than the mean and s.d. of distribution B respectively, then the distribution A is more uniform (less variable) than the distribution B.

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Comment briefly on the following statements :
(i) A computer obtained the standard deviation of 20 observations whose values ranged from 65 to
85 as 25.
(ii) A student obtained the mean and variance of a set of 10 observations as 10, – 5 respectively.
(iii) The range is the perfect mea m&tA¨variability as it includes all the measurements.
(iv) For the distr.bution of 5 obsem mns : 8, 8, 8, 8, 8; mean = 8 and variance = 8.
(v) If the mean and s.d. of distribution A are smaller than the mean and s.d. of distribution B
respectively, then the distribution A is more uniform (less variable) than the distribution B.
Transcribed Image Text:Comment briefly on the following statements : (i) A computer obtained the standard deviation of 20 observations whose values ranged from 65 to 85 as 25. (ii) A student obtained the mean and variance of a set of 10 observations as 10, – 5 respectively. (iii) The range is the perfect mea m&tA¨variability as it includes all the measurements. (iv) For the distr.bution of 5 obsem mns : 8, 8, 8, 8, 8; mean = 8 and variance = 8. (v) If the mean and s.d. of distribution A are smaller than the mean and s.d. of distribution B respectively, then the distribution A is more uniform (less variable) than the distribution B.
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