BKSB Data and Statistical Interpretation 3 โ Questions and Answers
Question 1: The mean of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?
- 14 (Correct answer)
- 12
- 16
- 10
Correct answer: 14
Sum = 5 ร 14 = 70; known sum = 10+12+16+18 = 56; fifth number = 70 โ 56 = 14.
Question 2: A dual bar chart compares male and female test results. Males averaged 72 and females averaged 68. What is the combined average if there are equal numbers of each?
- 70 (Correct answer)
- 72
- 68
- 71
Correct answer: 70
With equal numbers, combined average = (72 + 68) รท 2 = 70.
Question 3: A cumulative frequency graph shows that 60 out of 100 students scored below 55 marks. What is the probability that a randomly selected student scored 55 or above?
- 0.4 (Correct answer)
- 0.6
- 0.55
- 0.45
Correct answer: 0.4
100 โ 60 = 40 students scored 55 or above, so probability = 40/100 = 0.4.
Question 4: In a data set, the lower quartile is 20 and the upper quartile is 40. What is the interquartile range (IQR)?
- 20 (Correct answer)
- 30
- 60
- 10
Correct answer: 20
IQR = upper quartile โ lower quartile = 40 โ 20 = 20.
Question 5: A pictogram uses one symbol to represent 4 people. A category shows 6 full symbols and one half symbol. How many people does this represent?
- 26 (Correct answer)
- 24
- 28
- 25
Correct answer: 26
6 full symbols = 6 ร 4 = 24; half symbol = 2; total = 24 + 2 = 26.
Question 6: A survey of 80 people found 60% own a car. How many people in the survey do NOT own a car?
- 32 (Correct answer)
- 48
- 60
- 20
Correct answer: 32
60% own a car means 40% do not; 40% of 80 = 0.40 ร 80 = 32.
Question 7: A stem-and-leaf diagram shows stems 2, 3, 4 with leaves: 2|3,5,7 and 3|1,4,6,9 and 4|2,5. Which stem has the most data values?
- 3 (Correct answer)
- 2
- 4
- They are equal
Correct answer: 3
Stem 3 has 4 leaves (1,4,6,9) which is more than stem 2 (3 leaves) or stem 4 (2 leaves).
The mean of five numbers is 14.
Four of the numbers are 10, 12, 16, and 18.
What is the fifth number?