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

Total Questions: 50

1. The median of the observations 20, 23, 25, 30, 20, 31, 32, 35, 20, 41, 42, 43, 20, 20 and 20 is: [Group D 12/09/2022 (Evening) ]

Correct Answer: (b) 25
Solution:

By arranging the observations in ascending order,
20, 20, 20, 20, 20, 20, 23, 25, 30, 31, 32, 35, 41, 42, 43
So, median = 25

2. The arithmetic mean of the observations 3, 6, 8, 10, 12, 14, 18, 24 and 31 is: [Group D 13/09/2022 (Afternoon) ]

Correct Answer: (d) 14
Solution:

3. 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters from the English alphabets in the surnames was obtained as follows. [Group D 13/09/2022 (Evening) ]

Correct Answer: (a) 8.05
Solution:

4. What is the mode of the data given below? [Give your answer correct to 2 decimal places] [Group D 14/09/2022 (Morning) ]

Correct Answer: (a) 58.33
Solution:

5. The marks scored by 10 students are given below. 17, 13, 18, 11, 15, 13, 19, 18, 13, 17 The mode of the data is: [Group D 14/09/2022 (Evening)]

Correct Answer: (a) 13
Solution:

Arranging in ascending order, 11, 13, 13, 13, 15, 17, 17, 18, 18, 19 Mode is the value which occurs the maximum number of times in the given data set. Hence, Mode = 13

6. If the mode of a distribution is 27 and its median is 35, then the mean of the distribution is _____ (using empirical relation). [Group D 15/09/2022 (Evening)]

Correct Answer: (a) 39
Solution:

7. The mode of 5, 18, 6, 7, 6, 2, 3, 4, 24, 2, 7, 21, 2, 81 is: [Group D 17/09/2022 (Morning)]

Correct Answer: (b) 2
Solution:

8. The mean marks of the following distribution is [Group D 17/09/2022 (Evening) ]

Correct Answer: (d) 30
Solution:

9. The median of the observations below, given in ascending order, is n-1. 4, 8, n - 14, 17, n + 5, 30, 32 and 35 What is the value of n? [Group D 19/09/2022 (Morning) ]

Correct Answer: (c) 24
Solution:

10. Which of the following expressions is correct? [Group D 19/09/2022 (Morning) ]

Correct Answer: (d) 1
Solution:

Mode - Median = 2( Median - Mean)
= Mode = 3 × Median - 2 × Mean
So, option d is correct.