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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
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.
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?
A company recruits candidates satisfying the following criteria -  1. Candidates who secured at least 85% in standard 10th or equivalent. 2. Candidates who secured at least 65% in standard 12th or equivalent. 3. Candidates who are not from commerce background. Who among the following candidates will the company definitely select? A. Jitesh is a science student having scored 70% in standard 12th and 80% in 10th with an excellent sports background. B. Jignesh scored 80% in standard 12th, 90% in standard 10th and secured 2nd place in his college among all commerce students. C. Jayesh scored 75% in standard 10th, 75% in standard 12th and is an arts student. D. Jinesh secured 80% in standard 12th, 88% in standard 10th and is a science student with great acting skills
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?
If, on an average, 'A' completes 40 tasks with a standard deviation of 5, 'B' completes 160 tasks with a standard deviation of 15 and 'C' completes 120 tasks with a standard deviation of 8, their order when arranged on the basis of consistency is
The size of sample is 5 for a process. If the process standard deviation is 0.15 micron, and the mean of process is 1.5 micron, the standard deviation of the sample average will be _______
Consider the following statements regarding life time of any normally terminating process in an operating system. (I) The process must be in RUNNING state at least once during its execution. (II) The process must be in RUNNING state at least twice during its execution. (III) The process must be in WAITING state at least once during its execution. (IV) The process must be in READY state at least once during its execution. Which of the above statements are correct?
A fisherman is weighing each of 50 fishes. Their mean weight worked out is 50 gm and a standard deviation of 2.5 gm. Later it was found that the measuring scale was misaligned and always under reported every fish weight by 2.5 gm. Find the mean and standard deviation of fishes.