Mean, Median & Mode (Railway Maths) (Part – II)

Total Questions: 50

41. Find the answer of given question? [Level 5 (15/06/2022) Shift 2 ]

Correct Answer: (d) 4
Solution:

42. A set of four numbers that begins with the number 53 is arranged from the smallest to largest. If the median is 56, which of the following could possibly be the set of numbers? [Level 5 (15/06/2022) Shift 2]

Correct Answer: (c) 53, 55, 57, 58
Solution:

Option (c) 53, 55, 57, 58 Median = (55 + 57)/2 = 56

43. The difference between the mean and the mode of certain observation is 69, then the difference between the mean and the median is _____. [Level 5 (15/06/2022) Shift 3]

Correct Answer: (c) 23
Solution:

Mean - Mode = 69 (given)
Mode = Mean - 69
Now, Mode = 3 Median - 2 Mean
Mean - 69 = 3 Median - 2 Mean
3 Mean - 3 median = 69
Mean - Median = 69/3 = 23

44. If the mean of numbers 33, x, 47, 83, and 109 is 67, what is the mean of 50, 64, 100, 126, and x? [Level 5 (15/06/2022) Shift 3]

Correct Answer: (a) 80.6
Solution:

45. Let x be the median of the data: 16, 78, 26, 91, 29, 71, 31, 46, 9, 51, 54, 56, 61, 21, 62, 65, 73, 86, 41, 89. Let y be the median of the data obtained when 26 and 41 are replaced by 59 and 75, respectively, in the above data. What is the value of (3x − 2y)? [Level 2 (16/06/2022) Shift 1]

Correct Answer: (d) 45
Solution:

46. If each of the observations of 14, 22, 16, 24, 12, 8, 4, 18, 12, 10 is increased by 10, then what will be their new mean? [Level 2 (16/06/2022) Shift 1]

Correct Answer: (b) 24
Solution:

47. Find the answer of given question? [Level 2 (16/06/2022) Shift 2 ]

Correct Answer: (c) 55
Solution:

48. For the classes 10 - 19, 20 - 29, 30 - 39, 40 - 49, 50 - 59, 60 - 69, 70 - 79, 80 - 89, and 90 - 99 of a grouped data. Which one of the following is the upper limit of the class interval 70 - 79. [Level 2 (16/06/2022) Shift 2 ]

Correct Answer: (c) 79.5
Solution:

49. If the mean of 14, 6, 2a and 16 is 12, then find the value of a where a > 0. [Level 2 (16/06/2022) Shift 3]

Correct Answer: (b) 6
Solution:

50. What will be the median of all the prime numbers between 20 and 62? [Level 2 (16/06/2022) Shift 3]

Correct Answer: (b) 42
Solution: