IGNOU MST002 Solved Assignment 2022
 AUTHOR: Narendra Kr. Sharma
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IGNOU MST002 Solved Assignment 2022
MST002 Solved Assignment 2022 is an ebook for students who want to specialise in statistics. This completed assignment will allow you to assess your degree of preparation and will be extremely beneficial. All questions and concerns of PGDAST IGNOU Assignment have been addressed and clarified. As a result, students will comprehend the concepts of any question in the assignment.
Assignment Paper 
IGNOU MST002 Solved Assignment 2022 
Subject Name 
Descriptive Statistics 
No.of Pages in Solution 
33 
Course 
PGDAST 
Language 
ENGLISH 
Session 
2022 
Last Date for Submission of Assignment 
For June Examination 31st March 2022 or as per dates given in the Ignou website For December Examination 30th September 2022 or as per dates given in the Ignou website 
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IGNOU MST002 Sample Solution 2022
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IGNOU MST002 Solved Assignment 2022
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IGNOU MST002 Assignment Question Paper 2022
(Descriptive Statistics)
MST002: Descriptive Statistics
Note: All questions are compulsory. Answer in your own words. 1. State whether the following statements are true or false and also give the reason in support of your answer: (a) If X_{1}, X_{2}, X_{3}, …, X_{n} and Y_{1}, Y_{2}, Y_{3}, …, Y_{n} are the variate values of two variables X and Y, and their geometric means are G_{1}and G_{2}, respectively, then geometric mean of (x_{j}/y_{i}); i = 1, 2, … n will be (G_{1}/G_{2}). (b) If X and Y are two independent variables and the variables U = X+ Y and V= X –Y, then the \( r\left(U,V\right)=\frac{\sigma _x^2\sigma \:_y^2}{\sigma \:_x^2+\sigma _y^2} \) (c) If each value of X is divided by 2 and of Y is multiplied by 2, then b’_{YX} will be same as b. (d) The mean and standard deviation of a set of values are 25 and 5, respectively. If a constant value 5 is added to each value, the coefficient of variation of the new set of values is equal to 10%. (e) If (A) = 90, (AB) = 40, N = 150 and (β) = 80 then (αβ) = 30. 2 (a) The numbers 3.2, 5.8, 7.9 and 4.5 have frequencies Y, (Y + 2), (Y – 3) and (Y + 6), respectively. If the arithmetic mean is 4.876, find the value of Y and write the whole series. (b) The following is the distribution of age (in years) of 800 workers:
Find (i) Median, (ii) Quartile Deviation, and (iii) Coefficient of Quartile Deviation. 3 (a) The value of Spearman’s rank correlation coefficient of a set of nonrepeating values was found to be 2/3. The sum of the squares of difference between the corresponding ranks was 55. Find the number of pairs. (b) Calculate Karl Pearson’s coefficient of correlation between X and Y for the following data: N = 12, \( \sum _{n=0}^{12}\left(X\right)=120,\sum \:_{n=0}^{12}\left(Y\right)=130,\sum \:_{n=0}^{12}\left(Y10\right)^2=200,\sum \:_{n=0}^{12}\left(X8\right)\left(Y10\right)=50 \) 4. (a) The following table shows the information as:
r(X, Y) = 0.8. Then find (b) Given the following data: 5(a) An investigation of 23713 households was made in an urban and rural mixed locality. Of these 1618 were farmers, 2015 well to do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well to do; also 587 well to do families were those of farmers and out of them only 156 were having at least one graduate. Obtain all the ultimate class frequencies. (b) Can vaccination be regarded as a preventive measure for smallpox from the given data: 6. (a) In a statistical study relating to the prices (in T) of two shares, X and Y, the following two regression lines were found as 8X – 10Y + 70 = 0 and 20X – 9Y – 65 = 0. The standard deviation of X = 3, then find (i) the values of X and Y, (ii) r(X, Y), and (iii) standard deviation of Y. (b) Suppose X and Y are the two variables having the correlation coefficient 0.85. The following are the values they have:
If two new variables X’ and Y’ are obtained by adding 50 to each value of X and 100 to each value of Y, respectively, calculate the correlation coefficient between X’ and Y’ using the above data. Also compare the results. 7. (a) 50% of items have characteristics A and B both, 35% have A, but not B, 25% have B but not A. Show that there must be some misprints in this report. (b) In the given data, two frequencies are missing and its mean is found to be 1.46.
