1. The class instructor calculated the correlation coefficient between the marks obtained by students in English and Hindi, and found it to be -0.5. Later, she realized that she had forgotten to include 1 grace mark for every student in the English scores. What will be the new correlation coefficient between the updated English marks and the Hindi marks?

2. Fishers Ideal Index Number not satisfies

3. If the gross reproductive rate is 1.08 per woman and the proportion of male births is 60%, then total fertility rate per woman is (assuming no mortality)

4. The population of a city is 12000. Ifthe population size after 3 generations is 768000, then the net reproductive rate is

5. If Laspeyres' price index is 100, Fisher's index number is 120, then Bowley's index number is

6. The average height of male employees in a company is 68 inches and that of female employees is 63 inches. The average height of all the employees is 65 inches. The percentage of male employees in the company is

7. If x₀ = 5, x₁ = 6, x₂ = 9 and x₃, =11, and f(x₁) =12, f(x₁) =13, f(x₂) =14 and f(x₃)=16 then the approximate value of ƒ(10) using Lagrange's interpolation formula is

8. Which is a demographic indicator of health?

9. Which of the following is a measure of mortality?

10. "Do you own a vehicle? Yes No" is an example of what type of

11. Zero should be used only to indicate the ______

12. Interview is an example of _____ which data

13. In a random arrangement of the letters of the work “STATISTICS", the probability that all the vowels come together is

14. If the two regression lines - one obtained by regressing y on x, and the other by regressing x on y- are
5x-8y+14=0
2x - 5y +11=0
then X+y is

15. If the line of regression of y on x is
5x-8y+14 = 0
then the correlation between y and x is

16. In a college, 75% of students passed Mathematics, and 80% of students passed English. What is the minimum percentage of students who must have passed both subjects?

17. For two attributes A and B, we have the following information:
N= 100; (A) = 50, (B) =60, (AB) = 5
Which of the following is true about consistence of the data?

18. A box contains a certain number of balls out of which 15% are red, 80% are yellow and 5% are green. All the balls of the same color are indistinguishable. Further, it is known that among all the yellow balls, x% are defective, among all the red, 6% are marked defective and among all the green balls, 9% are marked defective. A ball is chosen at random. If the conditional probability that the chosen ball is yellow, given

19. The life expectancy, E, of females is a linear function of time (in years). In 1995, the life expectancy was 72 years, and in 2015, it was 78 years. What would be the predicted life expectancy in the year 2025?

20. Given the following numbers:
1, 7, 8, 2, 4, 10, 14, 11, 37, 16, 17

21. Let A, B and C be three events such that
P(A∩B)=1/4, P(A∩C)= 1/5, P(B∩C)= 1/5, P(A∩B∩C)= 1/6
The probability that at least two events occur is equal to :

22. For a certain frequency distribution, we calculated the following values: Mean = 62, Co-efficient of skewness =–0.6, Standard Deviation =30 The median is equal to

23. If the price index for the year 2024 is 105.5, and the purchasing power of money (in Rs.) of 2014 compared to 2024 is 1.11, then what is the price index for the year 2014?

24. Which of the following statements is TRUE regarding the use of enumerators in collecting data through questionnaires?

25. 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? 

26. 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

27. Which of the following statement regarding tabulation is FALSE?

28. 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? 

29. What is an example of primary data collection method?

30. Secondary data is primarily sourced from:

31. Which among the following is NOT involved in analyzing the gathered information data?

32. What is the polynomial passing through (1, 2) and (4, 5)?

33. 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

34. Three coins are tossed together. What is the probability of getting neither 3 heads nor 2 tails?

35. 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?