Explanation:
Girls Kho-Kho=13, Boys Cricket=23, Boys Volleyball=13, Total boys=60. Correct matching is option A.
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1. In a class of 100 students, every student must pick exactly one sport to play. 28 students pick Football, 27 students pick Kho-Kho, 33 students pick Volleyball and 12 students pick Cricket. 23 boys play Cricket, and 13 boys play Volleyball. Meanwhile out of a total of 40 girls, 13 girls play Kho-Kho. Which of the pairs is/are correctly matched?
A
a-1, b-2, c-3, d-5
B
a-1, b-2, c-4, d-5
C
a-3, b-1, c-2, d-5
D
a-3, b-2, c-4, d-5
Girls Kho-Kho=13, Boys Cricket=23, Boys Volleyball=13, Total boys=60. Correct matching is option A.
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2. Eight randomly selected college students were asked to state the number of hours they slept the previous night. The resulting data values are 4, 8, 7, 5, 3, 7, 7, 8. Arrange the following values in decreasing order:
a. Mean of sleeping hours of the students
b. Median of sleeping hours of the students
c. Mode of sleeping hours of the students
d. Number of random Sample
A
a, d, b, c
B
c, d, b, a
C
d, b, a, c
D
c, b, d, a
Mean=6.125, Median=7, Mode=7, Sample size=8. Order: d(8) > b(7) > a(6.125) > c(7). So correct is d, b, a, c.
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3. Which of the following statement regarding tabulation is FALSE?
A
Tabulation allows for the presentation of complicated data.
B
Tabulation is a prerequisite for diagrammatic representation of data.
C
Statistical analysis of data necessarily involves tabulation.
D
Tabulation facilitates comparison between rows and not columns
Tabulation allows comparison both row-wise and column-wise. Hence (d) is false.
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4. Consider the following statements regarding questionnaire preparation:
a. Questionnaires collect data by asking people to respond to different set of questions.
b. The validity and reliability of the data you collect and the response rate you achieve depend largely on the design of your questions.
c. Collect the data without a pilot test of all questionnaires.
d. When designing your questionnaire you should consider the wording of individual questions prior to the order in which they appear.
Which of the following statement is correct?
A
a and b
B
b and c
C
a and d
D
b and d
Statements (b) and (d) are correct. A pilot test is recommended, so (c) is wrong.
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5. What is an example of primary data collection method?
A
Surveying existing research papers
B
Reviewing census data
C
Analyzing historical records
D
Conducting interviews and surveys
Primary data is collected first-hand through interviews, surveys, observations, etc.
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6. Secondary data is primarily sourced from:
A
Original research studies
B
Publicly available databases
C
Personal interviews
D
Laboratory experiments
Secondary data refers to data already collected, e.g., from databases, published reports.
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7. Which among the following is NOT involved in analyzing the gathered information data?
A
Use of statistical methods for analysis
B
Sorting of data / information
C
Examining the information for accuracy and gaps
D
Fabricating data to arrive at the desired conclusion
Fabricating data to arrive at the desired conclusion
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8. What is the polynomial passing through (1, 2) and (4, 5)?
A
X + 1
B
X – 1
C
2X + 3
D
X + 2
X + 1
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9. Calculate crude marriage rate when the marriages registered were 1,74,062 and the estimated population in the mid-year were 4,59,29,000
A
0.0038
B
263.86
C
0.038
D
236.68
0.0038
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10. Three coins are tossed together. What is the probability of getting neither 3 heads nor 2 tails?
A
5/8
B
1/4
C
1/2
D
3/8
11. If the probability of rain on any given day in Delhi is 1/2, then what is the probability that it rains on exactly 4 days in a six-day period?
A
5/32
B
15/64
C
5/64
D
15/32
15/64
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12. A/An ______ questionnaire attempts to hide the purpose of the study
A
undisguised
B
disguised
C
unbalanced
D
balanced
disguised
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13. If the data values are recorded in chronological order, then data is called _
A
cross sectional data
B
time series data
C
uni-variate data
D
bi-variate data
time series data
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14. What is the value of P(3) corresponding to the polynomial P(x) passing through the points (1, 2) and (2, 5)?
A
7
B
6
C
5
D
8
15. If median is 145.35 and mean is 144.917, then calculate the value of mode
A
140.50
B
146.69
C
147.91
D
146.216
Mode = 3 x Median - 2 x Mean
Mode = 3 x 145.35 - 2 x 144.917
Mode = 146.216
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16. The variable we are trying to predict is called the ___
A
Positive variable
B
Negative variable
C
Dependent variable
D
independent variable
Dependent variable
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17. Accounting statements are the ______ of secondary data.
A
external source
B
international source
C
internal source
D
other source
internal source
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18. When data is collected from report on currency and finance, then this is a ______ source of secondary data
A
international organisations
B
internal
C
national organisations
D
external
The Report on Currency and Finance is published by the Reserve Bank of India (RBI), which is a national organisation.
So, when data is collected from this report, it is a:
✅ Source of secondary data from national organisations
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19. Calculate harmonic mean of numbers 10, 20, 25, 40 and 50
A
21.3
B
47
C
74
D
28.21
20. The non probability sampling method is used in case of ______.
A
Exploratory research
B
Conclusive research
C
Productive research
D
Census research
Exploratory research
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21. Which of the following tests holds that the product of a price index and the quantity index should be equal to the corresponding value index?
A
Circular test
B
Unit test
C
Factor reversal test
D
Time reversal test
Factor reversal test
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22. Anything in a table which the reader may find difficult to understand from the title, captions and stubs should be explained in ______
A
title of the bottle
B
caption
C
footnotes
D
headnotes
footnotes
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23. Financial and manufacturing records are the ______ source of secondary data.
A
internal
B
external
C
primary
D
other
internal
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24. Census is conducted at regular intervals of time, usually ______ years.
A
15
B
10
C
12
D
18
10
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25. Gross reproduction rate is approximately ______ the total fertility rate
A
twice
B
equal
C
half
D
thrice
half
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26. If any quality is measured in terms of its presence or absence, then it is termed as
A
manifold data
B
nominal data
C
ordinal data
D
binary data
binary data
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27. In statistics, the term ______ is used to represent the data which is measured in terms of some quality or qualities.
A
regression
B
demography
C
attribute
D
correlation
attribute
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28. The ______ is defined as the chance of dying of a newly born infant within a year of its life, under the given mortality conditions
A
infant death rate
B
standardised death rate
C
specific death rate
D
crude death rate
infant death rate
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29. For dichotomous attributes the presence of attribute is termed as the ____
A
Positive class
B
Negative class
C
Pleural class
D
Singular class
Positive class
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30. A patient in a hospital may have 102o Celsius fever, this is an example of ______.
A
interval scale
B
ratio scale
C
ordinal scale
D
nominal scale
interval scale
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31. Which of the following is a disadvantage of secondary data?
A
it is complicated, difficult to collect
B
It may not be always as latest as the decision maker wishes them to be
C
It is not economical in nature
D
It take more efforts
It may not be always as latest as the decision maker wishes them to be
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32. The coefficient of correlation is independent of change of scale and __
A
origin
B
multiple
C
linear
D
error
origin
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33. Two dices are thrown together, what is the probability of getting a sum 6?
A
1/9
B
1/6
C
7/36
D
5/36
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34. Two cards are drawn from a well shuffled pack of 52 cards without replacement. What is the probability that one card is a club and other card is a king of red colour?
A
1/26
B
1/52
C
2/51
D
1/102
There are total 13 cards of club, so probability that one card is spade is 13/52
According to the questions cards are drawn without replacement. So only 51 cards are left.
Again there are 26 red cards and only two among them are kings
So probability of red king is 2/51
Probability that one card is a club and other card is king of red colour is 13/52 * 2/51 = 1/102
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35. What is the polynomial passing through points (1, 5) and (2, 7)?
A
2x + 3
B
x + 8
C
8x + 9
D
3x + 5
2x + 3
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