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# Statistics – level 2

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### Statistics – level 2

1. 1. Statistics – Level 2 C.S.VEERARAGAVAN
2. 2. The mid value of the class 27.5 – 37.5 is 32 32.5 33 33.5 0 4
3. 3. The mid value of the class 27.5 – 37.5 is 32 32.5 33 33.5 Mid value = Lower limit+Upper Limit 2 0 4
4. 4. The mid value of the class 27.5 – 37.5 is 32 32.5 33 33.5 Mid value = Lower limit+Upper Limit 2 Mid value = 27.5 + 37.5 2 0 4
5. 5. If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13 6 – 12 8 – 10 None of these 0 3
6. 6. If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13 6 – 12 8 – 10 None of these Lower limit is 9 – 7−1 2 = 9 – 3 = 6 0 3
7. 7. If the mid value of an inclusive class of size 7 is 9, Then the class interval is 5 – 13 6 – 12 8 – 10 None of these Lower limit is 9 – 7−1 2 = 9 – 3 = 6 Upper limit is 9 + 7−1 2 = 9 + 3 = 12 0 3
8. 8. The size of the exclusive class interval 24 – 34 is 9 11 10 24 0 1
9. 9. The difference between the lower ( or upper) limits of two successive classes is the Lower bound Upper bound Mid value of the class Size of the class, for a continous distribution 0 2
10. 10. The arithmetic mean of the series 2,5,8,11,14 8 6 9 7 0 5
11. 11. The arithmetic mean of the series 2,5,8,11,14 8 6 9 7 Mean of A.P = First Number + Last number 2 0 5
12. 12. Mean deviation of 8 and 17 is 4 3.5 4.5 5.5 0 6
13. 13. Mean deviation of 8 and 17 is 4 3.5 4.5 5.5 Mean deviation = 17 −8 2 = 4.5 0 6
14. 14. Mode of 3, 1 , 2 , 3 , 2 , 1, x , 3 , 4 , 3, 6 3 2 x Cannot be determined 0 7
15. 15. The upper boundary of an inclusive type class 10 – 14 is 14 10 14.5 9.5 0 8
16. 16. The upper boundary of an inclusive type class 10 – 14 is 14 10 14.5 9.5 Boundaries of a class are obtained by Subtracting 0.5 from Lower limit and Adding 0.5 to Upper limit. 0 8
17. 17. The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is 15 13 14 16 0 9
18. 18. The range of the values 7, 8, 12, 9, 6, 13, 15, 21, 19, 5 is 15 13 14 16 Range = 21 – 5 = 16 0 9
19. 19. When a constant ‘c’ is subtracted from every observation of given individual data then the standard deviation of the data is Increases by c Decreases by c Unchanged Cannot be determined 1 0
20. 20. The sum of the deviations about mean of an individual data is equal to 0 its arithmetic mean its mean deviation its range 11
21. 21. The sum of deviations is least when taken about Mean Median Mode All of the above 1 2
22. 22. If the variance of x1, x2,x3…xn is p, then the s.d of 2x1 + 3, 2x2 + 3, …2xn + 3 is 𝑝 2 𝑝 + 3 2p + 3 2 𝑝 3 0
23. 23. When 10 < x < 15, then the median of the data 6, 18 , 21, 9 , 23, 5 and x is 9 21 x Cannot be determined 1 3
24. 24. The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?12 10 11 5 1 4
25. 25. The A.M and the sum of observations of individual data is 9 and 108 resp. The no. of observations = ?12 10 11 5 A.M = Sum of observations No of observations 1 4
26. 26. For a symmetric distribution, the mode is 24. The A.M of the distribution is 22 26 24 Cannot be distributed 1 5
27. 27. For a moderately symmetric distribution, Mode – Median = ? Median – Mean Mode – Mean 3(Median – Mean) 2(Median – mean) 1 6
28. 28. For a moderately symmetric distribution, Mode – Median = ? Median – Mean Mode – Mean 3(Median – Mean) 2(Median – mean) For a moderately symmetric distribution Mode = 3 median – 2 mean 1 6
29. 29. The arithmetic mean of the first n natural numbers is n n+1 2 n 2 n+1 2 n+1 2n 1 7
30. 30. The A.M of the series x1, x2,x3… is 𝑥 then the A.M of x1 – a , x2 – a , x3 – a , … xn – a is 𝑥 𝑥 – a 𝑥 – a a 𝑥 2 9
31. 31. Median of 8, 12, 13, 17 and 19 is 12.5 13 13.5 6.5 1 8
32. 32. Median of the data 6, 15, 21, 28, 32 and 40 is24.5 24 21.5 28 1 9
33. 33. The median of the first five prime numbers is 11 5 7 2 2 7
34. 34. The median of five observations is the third observation. 12-06-2015VEERARAGAVAN C S veeraa1729@gmail.com 9894834264 34
35. 35. The median of five observations is the third observation. The third prime no is 5. 12-06-2015VEERARAGAVAN C S veeraa1729@gmail.com 9894834264 35
36. 36. In some individual data consisting of 20 observations, the observation a0 occurs for the greatest number of times. The mode isa0 a0 2 2a0 Cannot determine 2 0
37. 37. The G.M of the data 1, 3, 12 is 36 6 3 36 3 2 1
38. 38. If A, G and H are A.M, G.M & H.M of 2 +ve nos. a and b, then which is true? A G = H A G H = H A A G = G A A G = G H 2 2
39. 39. If each observation is increased by 5, then the range of the data Increases by 5 Decreases by 5 Does not change May or may not change 2 3
40. 40. If the range and the minimum value of the observations are 17 and 88 resp., then the maximum value of the data is 100 105 71 110 2 4
41. 41. The first quartile (Q1) of the observations 4, 8, 10, 15, 17, 29 and 32 is 8 16 29 53 2 5
42. 42. The first quartile (Q1) of the observations 4, 8, 10, 15, 17, 29 and 32 is 53 29 16 8 If the data is in ascending order, then Q1 = n+1 4 𝑡ℎ data. 2 5
43. 43. The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54 51 48 29 53 2 6
44. 44. The third quartile ( Q3) of the data 16, 21, 23, 25, 29, 32, 46, 48, 51, 53 , 54 51 48 29 53 2 6 The third quartile is the 3 4 Q3 is 3 4 n+1 th data = 9th data