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

Total Questions: 50

41. The mean and the mode of a set of data are 58.7 and 61.1, respectively. Find the median of the data, using the empirical formula. [Group D 02/09/2022 (Morning)]

Correct Answer: (d) 59.5
Solution:

42. For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is: [Group D 02/09/2022 (Afternoon)]

Correct Answer: (c) 39
Solution:

43. If the median of a data is 24.12 less than its mode, then the median of the data exceeds its mean by _____. (Use the empirical formula to find the answer) [Group D 05/09/2022 (Afternoon)]

Correct Answer: (b) 12.06
Solution:

44. The heights of six students in a school are 160 cm, 175 cm, 142 cm, 136 cm, 148 cm, and 182 cm. Find the mean of their heights (in cm) (Rounded off to 2 decimal places). [Group D 05/09/2022 (Afternoon)]

Correct Answer: (d) 157.17
Solution:

45. What is the median of following distribution? [Group D 05/09/2022 (Evening) ]

Correct Answer: (b) 220
Solution:

46. For certain data, the mode is 24.6 and mean is 20.1. What is the median of that data? [Group D 06/09/2022 (Afternoon)]

Correct Answer: (c) 21.6
Solution:

We know that, 3 median = 2 mean + mode 3 × median
= 2 × 20.1 + 24.6
3 × median = 64.8
Therefore, median = 21.6

47. Find the mode of the following data. 66, 69, 83, 69, 84, 74, 71, 83, 69, 84, 73, 83, 69, 71, 84, 74, 83, 66, 74, 71, 83, 66, 90, 90 [Group D 06/09/2022 (Evening)]

Correct Answer: (d) 83
Solution:

By arranging the numbers in ascending order
66,66,66,69,69,69,69,71,71,71,73,74,74,74,83,83,83,83,83,84,84,84,90,90
The most frequent number (mode) = 83

48. If the mean of the following data is 18, then the value of x is: [Group D 08/09/2022 (Afternoon) ]

Correct Answer: (b) 10
Solution:

49. What is the mean of the following distribution? [Group D 09/09/2022 (Afternoon) ]

Correct Answer: (c) 50
Solution:

50. The arithmetic mean of the observations 39, 49, 59, 60, 70, 80, 90, 93 and 90 is: [Group D 12/09/2022 (Afternoon) ]

Correct Answer: (c) 70
Solution: