Name of the Organisation : Sri Sathya Sai Institute of Higher Learning SSSIHL
Exam : SSSIHL Admissions Test Model Question Paper
Degree : Undergraduate Programme
Subject : Statistics
Document Type : Model Question Paper
Website : https://www.sssihl.edu.in/
Download Model Question Paper : https://www.pdfquestion.in/uploads/25095-Statistics.pdf
SSSIHL Admissions Test Statistics Question Paper
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Important Instructions
** SHADE the correct Response viz., A, B, C, D or E in the RESPONSE SHEET. Each Question carry ONE mark.
1) Please write/shade Question Paper Code in the box provided in the Essay Sheet and in the Response Sheet.
2) Please do not write on the Question Paper booklet. Blank sheets will be provided on request for rough work.
3) Please NOTE that an incorrect response will attract negative marking.
Sample Questions
Questions: 40
Time : 40 Minutes
Max. Marks 40 x 1 : 40
1. The arrangement of data either in ascending or descending order is called:
(A) Frequency distribution
(B) Cross classification
(C) An array
(D) Contingency table
(E) Probability distribution
2. Histogram can be used only when:
(A) Class intervals are equal or unequal
(B) Class intervals are all equal
(C) Class intervals are unequal
(D) Frequencies in class interval are equal
(E) None of the above
3. The following frequency distribution is
x 12 17 24 36 45 48 52
f 2 5 3 8 9 61
(A) Continuous distribution
(B) Discrete distribution
(C) Cumulative frequency distribution
(D) Both (A) and (C)
(E ) All of the above
4. The mean of seven observations is 8. A new observation 16 is added. The mean of eight observations is:
(A) 24
(B) 20
(C) 18
(D) 12
(E) 9
5. The most often repeated value in a data set is called
(A) Mean
(B) Median
(C) Mode
(D) Range
(E) Extreme value
6. The standard deviation of a sample of 100 observations is 8. The variance of the sample equals
(A) 8
(B) 10
(C) 64
(D) 4096
(E) 0
7. Two samples A and B have the same standard deviations, but the mean of A is greater than that of B. The coefficient of variation of A is
(A) Greater than that of B
(B) Less than that of B
(C) Equal to that of B
(D) Not equal to that of B
(E) None of these
8. The value of correlation coefficient lies between
(A) 0 to 1
(B) 0 to -1
(C) -1 to +1
(D) 1 to 10
(E) -8 to 8
9. If X1 = -2, X2 = 1, X3 = 0, X4 = 1, X5 = 3 then S??2??5??=1
(A) 3
(B) 9
(C) 15
(D) 22
(E) 37
10. In calculating index numbers the ideal average is:
(A) AM
(B) GM
(C) HM
(D) Median
(E) Mode
Answer the following questions from Q.No11to 15 by using the following table gives the percentage of marks obtained by seven students in six different subjects in an examination
11. What are the average marks obtained by all the seven students in Physics? (rounded off to two digit after decimal)
(A) 77.26
(B) 89.14
(C) 91.37
(D) 96.11
(E) 90.11
12. The number of students who obtained 60% and above marks in all subjects is?
(A) 1
(B) 2
(C) 3
(D) 4
(E) None
13. What was the aggregate of marks obtained by Sajal in all the six subjects?
(A) 409
(B) 419
(C) 429
(D) 449
(E) 439
14. In which subject is the overall percentage the best?
(A) Maths
(B) Chemistry
(C) Physics
(D) History
(E) Social
15. What is the overall percentage of Tarun?
(A) 52.5%
(B) 55%
(C) 60%
(D) 63%
(E) 69%
Syllabus
Statistical data :
Definition and scope of the Statistics – collection and organisation of data, frequency distributions – diagrams and graphical representation of data.
Measures of Location :
Arithmetic mean – Median, Quartiles, Deciles and Percentiles – Mode – Weighted arithmetic mean, Geometric mean and Harmonic mean – Simple problems.
Measures of Dispersion :
Range – Quartile deviation – Mean deviation – Variance and Standard – Coefficient of variation – simple problems.
Correlation :
Concept of bivariate distributions – Scatter diagram, Karl Pearson’s co-efficient of correlation – Spearman’s rank correlation (without ties) – Simple Problems.
Data interpretation :
Interpretation of quantitative variables from tables and from diagrams.
Index Numbers :
Meaning- types- Wholesale Price Index- Consumer Price Index- Inflation and Index Numbers- Uses of Index Numbers.