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

Total Questions: 50

1. The mean of 36 numbers was found to be 42. Later, it was discovered that a number 47 was misread as 41. Find the correct mean of the given numbers (rounded off to two decimal places). [Group D 17/08/2022 (Afternoon)]

Correct Answer: (b) 42.17
Solution:

2. Find the median of the data 11, 16, 33, 15, 51, 18, 71, 75, 22, 17. [Group D 17/08/2022 (Afternoon)]

Correct Answer: (c) 20
Solution:

3. A group of class IX students conducted a survey for the number of family members in a household on 40 households in a locality, which resulted in the given frequency table. What is the mode of the data? [Group D 18/08/2022 (Morning) ]

Correct Answer: (d) 6.8
Solution:

4. Find the mode of the data 2, 2, 3, 5, 15, 15, 15, 20, 21, 23, 25, 15, 23, 25. [Group D 18/08/2022 (Afternoon) ]

Correct Answer: (d) 15
Solution:

2 , 2 , 3 , 5 , 15 , 15 , 15 , 15 , 20 , 21 , 23 , 23 , 25 , 25
Mode = highest frequency of number = 15

5. Find the median class of: [Group D 18/08/2022 (Evening) ]

Correct Answer: (a) 50 - 100
Solution:

6. If the mean of a data is 65 and its mode is 23 then the median using empirical formula is: [Group D 25/08/2022 (Morning) ]

Correct Answer: (c) 51
Solution:

7. Which is the correct formula for median of grouped data? [Group D 01/09/2022 (Evening) ]

Consider:
 L = lower limit of median class
CFₒ = cumulative frequency of preceding class
F = frequency of median class
H = class width
N = the total of frequency

Correct Answer: (b)
Solution:

8. If the median and the mode of a set of data are 12 and 15 respectively, then find the value of thrice of the mean of the same data set. [Group D 26/09/2022 (Evening)]

Correct Answer: (a) 63/2
Solution:

9. Study the following data and find their mode, median and mean in the order mentioned. 8, 9, 8, 5, 9, 8, 9, 7, 9 [Group D 07/10/2022 (Evening)]

Correct Answer: (d) 9, 8, 8
Solution:

10. If K is the mean of 2, 3, 4, k then the mode is: [Group D 11/10/2022 (Evening) ]

Correct Answer: (c) 3
Solution: