WB Class 11 Semester 1 Model Paper Statistics

WEST BENGAL
MODEL QUESTION
PAPER

Class 11 Class 12
Semester I, II Semester III, IV

CLASS -XI

MODEL QUESTION.

SUBJECT: STATISTICS (STAT)

SEMESTER:1

FULL MARKS: 35

Choose correct alternative
1. Professor P.C. Mahalanobis was originally a professor of
a) Statistics b) Mathematics c) Physics d) none of these

2. A large hospital and a small hospital are located in a same area. The surgery records for
two hospitals are
Died Survived
Large research hospital 40 2110
Small hospital 23 677
Which hospital do you prefer?
a) Large research hospital b) Small hospital c) cannot be concluded
because we do not consider the case – not all surgery cases are equally serious d)
none of these

3. Monthly income of workers of a factory is
a) Attribute b) discrete variable c) continuous variable d) none of these

4. Proportion of girls in a class of 100 students is
b) Attribute b) discrete variable c) continuous variable d) none of these

5. Consider the following statements
A: In case of primary data no extra precaution need to be taken to use the data
B: Secondary data usually not enriched with detailed information
a) Statement A is true b) Statement B is true c) both Statement A and
Statement B is true d) none of these

6. Consider the statement:
“Statistical methods render valuable assistance in the analysis of time series data”

a) Above statement implies that Statistics can be applied in Business
b) Above statement implies that Statistics can be applied in Economics
c) Above statement implies that Statistics can be applied in Science
d) None of the above
7. Which one of the following is not an advantage of mail questionnaire method
a) Mail questionnaire method is economical
b) Mail questionnaire method does not require trained personnel
c) Mail questionnaire method can be applied for collecting data for all educated and
non-educated persons.
d) All statements are disadvantages of mail questionnaire method.

8. “Among 2000 students of a school, 70% are Hindus, 25% are Muslims and remaining
150 students are Christians”.
a) Data are consistent b) Data are inconsistent c) Consistent or inconsistent
cannot be concluded from the given data d) none of these

9. The data collected from Interview method related to
a) Primary data b) Secondary data c) both a) and b) d) none of these

10-13 . The following line graph gives the ratio of import to export from the company in
different years

Ratio of Import to Export
1.4
1.2
1
0.8
0.6 ratio to import to
export
0.4
0.2
0
2005 2006 2007 2008 2009

10. In which year the amount of import is equal to the amount of export?
a) 2006 b) 2007 c) 2008 d) 2009
11. In how many years was the export is more than import?
a) 1 b) 2 c) 3 d) 4
12. The import was minimum proportionate to the export of company in the year

a) 2005 b) 2006 c) 2007 d) 2008
13. The export was minimum proportionate to the import of company in the year
b) 2006 b) 2007 c) 2008 d) 2009

14. Frequency densities are necessary for drawing
a) Ogive b) Step-diagram c) Histogram d) Column diagram
15.The vertical axis , in case of an ogive , shows
a) Cumulative frequencies b) Absolute frequencies c) Frequency
densitiesd) Class boundaries
16. To draw Ogive(greater than type), cumulative frequencies are plotted against
a) Class – mark of the modal class b) Lower boundary of the modal classc)
Upper boundary of the modal class d)none of these
17. If 𝐹 , 𝐹 𝑎𝑛𝑑 𝑓 are respectively the frequencies less than type, greater than type and
frequency of i-th class and N be the total frequency, then which of the following is
correct
a) 𝑁 = 𝐹 + 𝐹 b)𝑁 = 𝐹 + 𝐹 + 𝑓 c) 𝑁 = 𝐹 + 𝐹 − 𝑓 d) none of these
18.Graphical representation of frequency distribution in case of an attribute can be done
by
a) Bar diagram b)Divided bar diagram c) Pie diagram d) all of the above
19. First Indian census took place in
a) 1871-72 b)1890-91 c) 1931-32 d) none of these
20. Full form of RBI
a) Railway Board of India b) Revenue Board of India c) Reserve Bank of
India d) none of these
21. National Income of India published by
a) NSSO b) CSO c) ISI d) none of these
22. The marks of 5 students in a class test are 11, 8, 76, 10 and 15. A suitable measure of
central tendency of these marks is
a) Mean b) Median c) Mode d) none of these
23. Mode depends on change of
a) Origin only b) Scale only c) Both a) and b) d) none of these
24. The mean of first n odd positive integers are
a) 𝑛 b) 𝑛 + 1 c) 𝑛 d) 2𝑛
25. For two positive values of p and q, (𝑝 + 𝑞)( + )
a) >4 b) <4 c) ≤4 d) ≥4

26. The abscissa of the point of intersection of the less than and greater than ogives
corresponds to
a) the Mean b) theMedian c) the Mode d) none of these

27. Mode of a frequency distribution can be obtained from
a) Frequency polygon b) Histogram c) Ogive d) none of these

28. The number of observations of two groups 𝐺 𝑎𝑛𝑑 𝐺 are in the ratio 2:1 and their
A.M s are 8 and 128 respectively. Then A.M of combined group is
a) 88 b) 45 c) 48 d) none of these

29. If A.M and G.M of two positive real numbers are 25 and 15 respectively , there H.M is
a) 5√5 b) 9 c) 225 d) None of these

30. A suitable average for open- ended class of a frequency distribution is
a) Mean b) Median c) Mode d) both a) and b)

31.Factor reversal test requires the condition
a) 𝐼 × 𝐼 = 𝐼 b) 𝐼 × 𝐼 = 𝐼 c) 𝐼 × 𝐼 = 𝐼 d)none of these

32.Weighted A.M of the price relatives can be expressed as
∑ 𝑤
𝐼 =
∑ 𝑤
From the above formula we can get Laspeyre’s formula when 𝑤 equals to
a)𝑝 𝑞 b) 𝑝 𝑞 c) 𝑝 𝑞 d)None of these

33. Ideal Index no. is
a)Laspeyre’s Price index b) Paasche’s Price index c) Fisher’s Price Index
d) Marshall-Edgeworth index

34. For construction of price index numbers selection of commodities can be made by
a) Random Sampling b) Judgement Sampling c) Haphazard Sampling
d) None of these

35. Time reversal test is satisfied by

a) Laspeyre’s formula b) Paasche’s formula c) Fisher’s formula
d)None of these

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