12th Business Mathematics and Statistics - Book Back Answers - Chapter 9 - English Medium Guides

 

 

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Tamil Nadu Board 12th Standard Business Mathematics and Statistics - Chapter 9: Book Back Answers and Solutions

    This post covers the book back answers and solutions for Chapter 9 – Business Mathematics and Statistics from the Tamil Nadu State Board 12th Standard Business Mathematics and Statistics textbook. These detailed answers have been carefully prepared by our expert teachers at KalviTips.com.

    We have explained each answer in a simple, easy-to-understand format, highlighting important points step by step under the relevant subtopics. Students are advised to read and memorize these subtopics thoroughly. Once you understand the main concepts, you’ll be able to connect other related points with real-life examples and confidently present them in your tests and exams.

    By going through this material, you’ll gain a strong understanding of Business Mathematics and Statistics  Chapter 9 along with the corresponding book back questions and answers (PDF format).

Question Types Covered:

• 1 Mark Questions: Choose the correct answer, Fill in the blanks, Identify the correct statement, Match the following 
• 2 Mark Questions: Answer briefly 
• 3, 4, and 5 Mark Questions: Answer in detail

All answers are presented in a clear and student-friendly manner, focusing on key points to help you score full marks.

All the best, Class 12 students! Prepare well and aim for top scores. Thank you!

Chapter 9:  

I. Multiple Choice Questions

1. A time series is a set of data recorded
(a) Periodically
(b) Weekly
(c) successive points of time
(d) all the above
Answer Key:
(d) all the above

 
2. A time series consists of
(a) Five components
(b) Four components
(c) Three components
(d) Two components
Answer Key:
(b) Four components

 
3. The components of a time series which is attached to short term fluctuation is
(a) Secular trend
(b) Seasonal variations
(c) Cyclic variation
(d) Irregular variation
Answer Key:
(d) Irregular variation

 
4. Factors responsible for seasonal variations are
(a) Weather
(b) Festivals
(c) Social customs
(d) All the above
Answer Key:
(d) All the above

 
5. The additive model of the time series with the components T, S, C and I is
(a) y=T+S+C×I 
(b) y=T+S×C×I
(c) y=T+S+C+I 
(d) y=T+S×C+I
Answer Key:
(c) y=T+S+C+I

 
6. Least square method of fitting a trend is
(a) Most exact
(b) Least exact
(c) Full of subjectivity
(d) Mathematically unsolved
Answer Key:

(a) Most exact

  
7. The value of ‘b’ in the trend line y=a+bx is
(a) Always positive
(b) Always negative
(c) Either positive or negative
(d) Zero
Answer Key:
(c) Either positive or negative

 
8. The component of a time series attached to long term variation is trended as
(a) Cyclic variation
(b) Secular variations
(c) Irregular variation
(d) Seasonal variations
Answer Key:
(b) Secular variations

 
9. The seasonal variation means the variations occurring with in
(a) A number of years
(b) within a year
(c) within a month
(d) within a week
Answer Key:
(b) within a year

 
10. Another name of consumer’s price index number is:
(a) Whole-sale price index number
(b) Cost of living index
(c) Sensitive
(d) Composite
Answer Key:
(b) Cost of living index

 
11. Cost of living at two different cities can be compared with the help of
(a) Consumer price index
(b) Value index
(c) Volume index
(d) Un-weighted index
Answer Key:
(a) Consumer price index

 
12. Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:
(a) 110
(b) 108
(c) 100
(d) 109
Answer Key:

(d) 109

 
13. Most commonly used index number is:
(a) Volume index number
(b) Value index number
(c) Price index number
(d) Simple index number
Answer Key:
(c) Price index number

 
14. Consumer price index are obtained by:
(a) Paasche’s formula
(b) Fisher’s ideal formula
(c) Marshall Edgeworth formula
(d) Family budget method formula
Answer Key:
(d) Family budget method formula

 
15. Which of the following Index number satisfy the time reversal test?
(a)Laspeyre’s Index number
(b) Paasche’s Index number
(c) Fisher Index number
(d) All of them.
Answer Key:
(c) Fisher Index number

 
16. While computing a weighted index, the current period quantities are used in the:
(a) Laspeyre’s method
(b) Paasche’s method
(c) Marshall Edgeworth method
(d) Fisher’s ideal method
Answer Key:
(b) Paasche’s method

 
17. The quantities that can be numerically measured can be plotted on a
(a) p - chart 
(b) c – chart
(c) x bar chart
(d) np – chart
Answer Key:
(c) x bar chart

 
18. How many causes of variation will affect the quality of a product?
(a) 4 
(b) 3 
(c) 2 
(d) 1
Answer Key:
(c) 2

 
19. Variations due to natural disorder is known as
(a) random cause
(b) non-random cause
(c) human cause
(d) all of them
Answer Key:
(a) random cause

 
20. The assignable causes can occur due to
(a) poor raw materials
(b) unskilled labour
(c) faulty machines
(d) all of them
Answer Key:
(d) all of them

 
21. A typical control charts consists of
(a) CL, UCL 
(b) CL, LCL
(c) CL, LCL, UCL 
(d) UCL, LCL
Answer Key:
(c) CL, LCL, UCL

 
22. $\stackrel{-}{\mathrm{X}}$ chart is a
(a) attribute control chart
(b) variable control chart
(c) neither Attribute nor variable control chart
(d) both Attribute and variable control Chart
Answer Key:
(b) variable control chart

 
23. R is calculated using
(a) ${\mathrm{x}}_{\max }-{\mathrm{x}}_{\min }$

(b) ${\mathrm{x}}_{\min }-{\mathrm{x}}_{\max }$
(c) ${\overline{\mathrm{x}}}_{\max }-{\overline{\mathrm{x}}}_{\min }$
(d) ${\stackrel{̿}{\mathrm{x}}}_{\max }-{\stackrel{̿}{\mathrm{x}}}_{\min }$
Answer Key:
(a) ${\mathrm{x}}_{\max }-{\mathrm{x}}_{\min }$

${\mathrm{ }}_{}$
24. The upper control limit for  chart is given by
(a) $\stackrel{-}{\mathrm{X}}$ + ${\mathrm{A}}_2\overline{\mathrm{R}}$ 
(b) $\stackrel{̿}{\mathrm{X}}$ + ${\mathrm{A}}_2\mathrm{R}$
(c) $\stackrel{̿}{\mathrm{X}}$+ ${\mathrm{A}}_2\overline{\mathrm{R}}$ 
(d) $\stackrel{̿}{\mathrm{X}}$ + ${\mathrm{A}}_2\stackrel{̿}{\mathrm{R}}$ 

Answer Key:
(c) $\stackrel{̿}{\mathrm{X}}$+ ${\mathrm{A}}_2\overline{\mathrm{R}}$

25. The LCL for R chart is given by
(a) ${\mathrm{D}}_2\stackrel{-}{\mathrm{R}}$ 
(b) ${\mathrm{D}}_2\stackrel{̿}{\mathrm{R}}$

(c) ${\mathrm{D}}_3\stackrel{̿}{\mathrm{R}}$
(d) ${\mathrm{D}}_3\stackrel{-}{\mathrm{R}}$
Answer Key:
(d) ${\mathrm{D}}_3\stackrel{-}{\mathrm{R}}$

II. Short answer questions

12th BM

III. Long answer questions

12th BM