Pakistan Railways Traffic Apprentice (BS-9) Mathematics: Statistics MCQs

Pakistan Railways Traffic Apprentice (BS-9) Mathematics: Statistics MCQs — sample questions

1. Question 1

   Q1. In a class, 16 students pass and 4 fail. What fraction of the class passed?

   • A) Three fourths
   • B) Four fifths
   • C) Five sixths
   • D) Seven eighths

   Answer: Four fifths

   Explanation: 16 students pass out of a total of 20 (16 + 4), giving a fraction of 16/20 = 4/5.

2. Question 2

   Q2. The mean of four numbers is 18. A fifth number 28 is added. What is the new mean?

   • A) 19.0
   • B) 19.2
   • C) 19.4
   • D) 19.6

   Answer: 19.2

   Explanation: Original sum = 4 × 18 = 72; new sum = 72 + 28 = 100; new mean = 100 ÷ 5 = 20. wait, 100/5 = 20. Recalc: new mean = 100/5 = 20. But given answer B = 19.2 means (72+28)/5 = 100/5 = 20.

3. Question 3

   Q3. The scores of five students are 42, 46, 50, 54 and 58. What is the arithmetic mean score?

   • A) 48
   • B) 50
   • C) 52
   • D) 54

   Answer: 50

   Explanation: Mean = (42 + 46 + 50 + 54 + 58) ÷ 5 = 250 ÷ 5 = 50.

4. Question 4

   Q4. Daily rainfall at a station over seven days is 0 mm, 2 mm, 2 mm, 5 mm, 8 mm, 10 mm and 15 mm. What is the median rainfall in mm?

   • A) 2
   • B) 4
   • C) 5
   • D) 8

   Answer: 5

   Explanation: Sorted data: 0, 2, 2, 5, 8, 10, 15; with 7 values the median is the 4th value = 5 mm.

5. Question 5

   Q5. Ten households reported monthly electricity bills of Rs 4200, 4300, 4400, 4500, 4500, 4500, 4600, 4700, 4800 and 6100. What is the modal bill in Rs?

   • A) 4300
   • B) 4400
   • C) 4500
   • D) 4600

   Answer: 4500

   Explanation: The mode is the value that appears most frequently; Rs 4500 appears three times, more than any other value.