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PLEASE MATCH YOUR ASSIGNMENT QUESTIONS ACCORDING TO YOUR SESSION
IGNOU BSTM-161 (January 2026 – December 2026) Assignment Questions
1. State whether the following statements are True or False and also give the reason in support of your answer.
a) If Standard Deviation of the Variable X is 5, then the Standard Deviation of the Variable Y = 2X–3 will be 7.
b) Mean Deviation for a given data is least when calculated from the Median.
c) The Karl Pearson’s Correlation Coefficient between X and (a – X) is –1.
d) The Regression Coefficients byx and bxy of a data are found to be 1.2 and 0.8, respectively.
e) In Exclusive Method, Upper Limit of a class is included in the same class.
b) Mean and Standard Deviation of 18 observations are found to be 7 and 4, respectively. On observing the original data, it was found that observation 12 was miscopied as 21 in the calculations. Calculate correct Mean and Standard Deviation.
4. The equations of two Regression Lines are given as follows:
4x – 5y + 30 = 0
20x−9y – 107 = 0
Calculate (i) Regression Coefficients, byx and bxy; (ii) Correlation Coefficient r(x, y); (iii) Mean of X and Y; and (iv) the value of σy if σx = 3.
5. A Researcher collects the following information for two variables x and y: n = 20, r = 0.5, Mean (x) = 15, Mean (y) = 20, σx = 4 and σy = 5
Later it was found that one pair of values (x, y) was wrongly taken as (16, 30) whereas the correct values were (26, 35). Find the correct value of r(x, y).
6. a) If A, B, C, D are constants, then show that the Coefficient of Correlation between (AX+B) and (CY+D) is numerically equal to that between X and Y.
b) A Statistician wanted to compare two Methods A and B of Teaching. He selected a random sample of 22 students. He grouped them into 11 pairs so that the students in pair have approximately equal scores on an intelligence test. In each pair one student was taught by Method A and the other by Method B and examined after the course. The marks obtained by both methods are given as:
