Board : Tripura Board Of Secondary Education
Exam : Class XI
Subject : Statistics
Document Type : Sample Question Paper
Website : tbse.nic.in
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/7307-Statistics.pdf
TBSE Statistics Question Paper
CLASS :- XI (Theory)
Statistics :
Time :-3 hours
Related : Tripura Board Of Secondary Education Class XI Geography Question Paper Sample : www.pdfquestion.in/7310.html
Maximum Marks:-70
General Instructions
(i) All question are compulsory
(ii) The question paper consists of 18 questions into three sections A,B and C. section A comprises of 4 questions of two marks each, section B comprises 4 question of three marks each and section C comprises 10 questions of five marks each.
(iii) There is no overall choice. However, internal choice has been provided in 2 question of three marks each and 4 questions of five marks each.
(iv) Use of simple calculators is permitted.
Model Questions
SECTION-A :
1) What are the differents between a bar diagram and a histogram?
2) State Cauchy-Schwar z’s inequality.
3) What is meant by skewness?
4) Define Paasche’s price and quantity index numbers.
SECTION-B :
5) What is a variable? Distinguish between a discrete and a continuous variable.
6) In an AP if mth term is ‘n’and nth term is ‘m’ where m = n, find the pth term.
or
Sum of first 25 terms in AP is 525, sum of the next 25 terms is 725 what is the common difference?
7) What do you understand by median? What are the points in favour of median?
or
The mean and SD of a Sample of size 10 were found to be 9.5 and 2.5 respectively. Later on, an additional observation became available. This was 15 and was included in the original sample. Find the mean and the standard deviation of the 11 observations.
8) What are index numbers? How do you choose the base year for constructing an index number series?
SECTION-C :
9) Explain the terms ‘classification’ and ‘tabulation’ and point out their importance in a statistical investigation.
or
Prepare a blank table showing the distribution of population according to sex and four religions in five age groups in seven different cities.
10) Write short notes on Pie diagram and pictogram.
11) How many 3 digit positive integers exists that when divided by 7 leave a remainder of 5?
or
Obtain the sum of he sequence
5,5.5, 5.55, 5.555…..to 3o terms.
12) If three consecutive coefficients in the expansion of (1+x)n are in the ratio 6:33:110. Determine the value of n and r.
13) Find the sum to ‘n’ terms of the series 12+(12+22) +(12+22+32)+…….
14) For ‘n’ positive observations x1, x2….xn show that AM GM
15) The expenditure of 1000 families is given below :
Expenditure (Rs.) : 40-59 60-79 80-99 100-119 120-139
No. of families : 50 ? 500 ? 50
The median and mean for the distribution are both Rs. 87.50 calculate the missing frequencies.
or
Define and discuss variance. Discuss merits and demerits of variance. How does variance is affected by the charge of origin and scale?
16) If two groups contain n, and n2 observations with means 1, and 2 and standard deviations s, and s2 respectively then show that the SD (o) of the composite group is given by
Where d1= 1- , d2= – , and is the mean of composite group.
17) Writen down two well-known formula for comparing price levels in two time periods. Show that both Laspeyres’ and paasche’s price index numbers may be regarded as weighted averages of price relatives.
18) Explain briefly : Time Reversal and Factor Reversal Tests of index number. Test whether the Fisher’s index numbers satisfy one or other of these tests.
or
Discuss the different type of errors that affect a price index number.
Syllabus :
Unit I : Introduction to Statistics (Periods 12)
Definition and limitations of statistics. Sample & Population. Qualitative and quantitative data. Collection of statistical data (primary and secondary). Classification, Tabulation and Diagrammatic representation (Pie Chart, Line Diagram and Bar Diagram) of data.
Discrete and continuous variable. Questionnaire. Frequency distribution and Cumulative frequency distribution and their graphical representations (Histogram, Frequency Polygon, Frequency Curve and Ogives).
Unit II : Mathematics (Periods 16)
Arithmetic Progressions, Geometric Progressions and Binomial expansions. Cauchy-Schwarz’s inequality.