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Which two of the following statements are true?  a) The sum of the deviations from mean (ignoring algebraic signs) is greater than the sum of the deviations from median (ignoring algebraic signs)  b) Standard deviation is independent of change of origin and change of scale  c) In a symmetrical distribution, mean deviation equals 4/5 of standard deviation  d) In a symmetrical and bell shaped distribution quartile deviation is 1/3 of standard deviation  Choose the correct answer from the options given below
A class of first year B. Tech. students is composed of four batches A, B, C and D, each consisting of 30 students. It is found that the sessional marks of students in Engineering Drawing in batch Chave a mean of 6.6 and standard deviation of 2.3. The mean and standard deviation of the marks for the entire class are 5.5 and 4.2, respectively. It isdecided by the course instructor to normalize the marks of the students of all batches to have the same mean and standard deviation as that of the entire class. Due to this, the marks of a student in batch C are changed from 8.5 to
Consider the following statements regarding inspection and quality control: 1. Coefficient of variation is a relative measure of dispersion. 2. Standard deviation is the root mean square of the deviation of all the results. 3. Standard deviation is relative measure of dispersion. 4. Lower value of standard deviation indicates low degree of uniformity of observations. Which of the above statements are correct?
Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.
In a closed traverse, if Algebraic sum of latitudes ∑L = negative and Algebraic sum of departures ∑D = positive, the whole circle bearing of the error of closure will be between 
Whenever a system undergoes a cyclic change, the algebraic sum of work transfer is proportional to the algebraic sum of heat transfer as work and heat are mutually convertible. Which law of thermodynamics suggests this?
A researcher given two tests- one in English language and another in Mathematics. He/She finds the mean and standard deviation of each of the two groups n = 100, as follows:   English Mathematics Mean 50 60 Standard deviation 10 12   Assuming the curve for the two distributions overlapping, how many students in English language are below the mean of those in Mathematics?
H V are the algebraic sums of the forces resolved horizontally and vertically respectively, M is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
If ΣH and ΣV are the algebraic sums of the forces resolved horizontally and vertically respectively and ΣM is the algebraic sum of the moments of forces about any point, for the equilibrium of the body acted upon
Which two of the following measures of central tendency are NOT capable of algebraic treatment? a) Geometric Mean b) Median c) Arithmetic Mean d) Mode e) Harmonic Mean Choose the correct answer from the options given below: