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

Total Questions: 50

11. The following observations are arranged in ascending order. 29, 32, 48, 50, x, x+2, 72, 78, 84, 95 If the median is 63, then the value of x is: [Group D 19/09/2022 (Afternoon)]

Correct Answer: (c) 62
Solution:

12. First find the median of 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, and 33. If 92 is replaced with 99 and 41 is replaced with 43 in the data, then find the new median. What is the difference between the old median and the new median? [Group D 20/09/2022 (Morning)]

Correct Answer: (c) 0
Solution:

13. Find the median age, given the ages of 10 persons (in years) are as follows: 22, 23.5, 26, 22.5, 24, 26, 23, 24.5, 25, 21 [Group D 20/09/2022 (Afternoon)]

Correct Answer: (b) 23.75
Solution:

14. The weights (in kg) of 10 students of a class have been recorded as 35, 42, 56, 44, 55, 44, 36, 44, 49 and 35. Find the modal weight. [Group D 20/09/2022 (Evening)]

Correct Answer: (b) 44.0 kg
Solution:

35, 42, 56, 44, 55, 44, 36, 44, 49 and 65.
Hence, mode of the given weights = 44 kg

15. What is the sum of the deviations of the values of the data set 5, 6, 7, 9, 10, 12 and 14, from the mean of the values given in the same data set? [Group D 20/09/2022 (Evening)]

Correct Answer: (d) 0
Solution:

16. The weights (in kg) of 10 students of a class are recorded as 35, 42, 56, 44, 55, 44, 38, 44, 49 and 35. Find the modal weight. [Group D 20/09/2022 (Evening)]

Correct Answer: (c) 44.0 kg
Solution:

17. Find the mean length of a leaf, given the lengths of 10 leaves (in mm) are as follows: 146, 150, 147, 143, 158, 139, 154, 149, 151, 155 [Group D 22/09/2022 (Afternoon) ]

Correct Answer: (d) 149.2 mm
Solution:

18. Find the median of the following distribution. [Group D 22/09/2022 (Evening) ]

Correct Answer: (a) 3
Solution:

19. The data below gives the number of wickets taken by a bowler in 10 different matches. Find the mode of the data. 3, 4, 6, 3, 1, 3, 5, 4, 2, 2. [Group D 26/09/2022 (Afternoon)]

Correct Answer: (c) 3
Solution:

Arranging in ascending order, 1, 2, 2, 3, 3, 3, 4, 4,5, 6
So, the mode of the given data is 3

20. The sum of three consecutive numbers is 177. The mean of these three numbers is: [Group D 26/09/2022 (Afternoon)]

Correct Answer: (a) 59
Solution: