IGNOU PGDAST MST 001 Foundation in Mathematics and Statistics Solved Assignment ENGLISH

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PGDAST 2026 - ENGLISH

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MST 001: Foundation in Mathematics and Statistics

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Title Name	IGNOU PGDAST MST 001 Foundation in Mathematics and Statistics Solved Assignment ENGLISH
Type	Soft Copy (E-Assignment) .pdf
University	IGNOU
Degree	PG DIPLOMA PROGRAMMES
Course Code	PGDAST
Course Name	Post Graduate Diploma in Applied Statistics
Subject Code	MST 001
Subject Name	Foundation in Mathematics and Statistics
Year	2026
Session	-
Language	ENGLISH
Assignment Code	MST 001/Assignment-1/2026
Product Description	Assignment of PGDAST (Post Graduate Diploma in Applied Statistics) 2026. Latest MST 0001 2026 Solved Assignment Solutions
Format	Ready-to-Print PDF (.soft copy)

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MST 001 (January 2026 - July 2026) - ENGLISH

TUTOR MARKED ASSIGNMENT

MST-001: Foundation in Mathematics and Statistics

Course Code: MST-001

Assignment Code: MST-001/TMA/2026

Maximum Marks: 100

Note: All questions are compulsory. Answer in your own words.

1. State whether the following statements are True or False. Give a reason in support of your answer.

(a) Between any two different irrational numbers there is another irrational number.

(b) $\int_{-10}^{10} (x^{11} + x^{21} + x^{31}) \, dx = 0$

(c) $\begin{vmatrix} p & x & q + r \\ q & x & r + p \\ r & x & p + q \end{vmatrix} = 0$

(d) The range of the data shown in the following frequency distribution is 350.

Classes	20-25	25-30	30-35	35-40	40-45	45-50	50-55
Frequencies	0	7	3	8	4	0	0

2. (a) A carpenter was hired to build 320 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?

(b) Set having values $\frac{1}{2}, \frac{1}{2^2}, \frac{1}{2^3}, \frac{1}{2^4}, \frac{1}{2^5}, \frac{1}{2^6}, \dots$ is countable.

3. How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags by using all at a time in a queue?

4. Discuss the continuity and differentiability of the following function at $x = 5$ .

$$f(x) = \begin{cases} |x - 5|, & x \neq 5 \\ 0, & x = 5 \end{cases}$
5. Evaluate the integrals: $\int \frac{1}{(x - 2)(x^2 + 4)} \, dx$

6. Find values of x, y and z given that

$5x + y + z = 36$

$x + y + z = 16$

$10x + 2y + 2z = 72$

You are bound to use the matrix techniques to solve the given equations.

7. Write any 5 principles of data visualisation.

8. Write whether the following data are discrete or continuous. Give reason in support of your answer.

(a) Number of children in a family in a colony of 1000 families.

(b) Number of pages in each of the 50 books having some mistake.

(d) Waiting time of metro when a person reaches metro station.

(e) Monthly income of the family.

MST 1 2025 - English

TUTOR MARKED ASSIGNMENT

MST-001: Foundation in Mathematics and Statistics

Course Code: MST-001

Assignment Code: MST-001/TMA/2025

Maximum Marks: 100

Note: All questions are compulsory. Answer in your own words.

1. State whether the following statements are True or False. Give reason in support of your answer.

(a) Between any two different rational numbers there is another rational number.

(b) $int_{-1000}^{1000}(x^{100120013001}+cos(x)),dx=0$

d) $left[egin{array}{ccc|c}a&x&b+&c\b&x&c+&a\c&x&a+&bend{array} ight]$

(e) The range of the data shown in the following frequency distribution is 350.

Classes	200-250	250-300	300-350	350-400	400-450	450-500	500-550
Frequencies	0	7	3	8	4	0	0

(a) A carpenter was hired to build 192 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?

(b) Set having values $frac{1}{49}overline{16}frac{1}{253}frac{1}{64}overline{9}$ is countable.

(e) How many words each of three vowels and two consonants can be formed from the letters of the words INVOLUTE?

3.(a) Express 700.1400.2100.2800.3500.42000 in terms of factorial.

(b) How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags by using all at a time in a queue?

(c) If in a hall there are 10 randomly selected students then how many numbers of ways are there such that all of them have different birthday. Assume that all of them have their birthday in non-leap years.

4.Discuss the continuity and differentiability of the following function at x = 2/3:

$f(x)=egin{cases}x-frac{2}{3}& ext{if}0leq x<frac{2}{3}\0& ext{if}xgeqfrac{2}{3}end{cases}$

5. Evaluate the following integrals:

i) $int_1^{10}x^{40}sqrt{x^8+3x^5},dx$

ii) $int_i^1frac{dx}{(x-5)^2(x+4)}$

6. Find values of x, y and z given that

Image ignouacademy-com-ignou-mst-001-solved-assignment-html-p-academy-16398

You are bound to use the matrix techniques to solve the given equations.

7.(a) Write flow charts of Cramer rule and matrix method.

(b ) Write whether the following data are discrete or continuous. Give reason in support of your answer.

i) Number of children in a family in a colony of 100 families.

Number of pages in each of the 50 books having some mistake.

Height of students of IGNOU who enrolled in 2021.

iv) Waiting time of metro when a person reaches metro station.

v) Monthly income of the family.

8.(a) Write any 10 principles of data visualisation.

(b) What is the relation of unit on y-axis with unit on x-axis in histogram.

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Course: Post Graduate Diploma in Applied Statistics (PGDAST)
Subject: MST 001 - Foundation in Mathematics and Statistics
Session: January 2026 - December 2026
Language: ENGLISH

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IGNOU PGDAST Assignments 2026

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Product Information

Course Name	Post Graduate Diploma in Applied Statistics
Course Code	PGDAST
Subject Code	MST 001
Subject	Foundation in Mathematics and Statistics
Programme	PG DIPLOMA PROGRAMMES Courses
Language	ENGLISH
Material Type	Solved Assignment – Soft Copy / PDF

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