Free BKSB Handling Data and Statistics Questions and Answers 1 — Questions and Answers
Question 1: A small cafe sells the following number of sandwiches over a 5-day period: Monday - 25, Tuesday - 30, Wednesday - 28, Thursday - 32, Friday - 40. What is the mean (average) number of sandwiches sold per day?
- 30
- 31 (Correct answer)
- 15
- 28
Correct answer: 31
The mean is calculated by adding all the values together (25 + 30 + 28 + 32 + 40 = 155) and dividing by the number of values (5). 155 divided by 5 is 31.
Question 2: A bar chart shows a company's quarterly sales: Quarter 1: £45,000, Quarter 2: £60,000, Quarter 3: £55,000, Quarter 4: £70,000. Which of the following statements is a correct interpretation of the data?
- The lowest sales occurred in Quarter 3.
- Sales decreased every quarter.
- Quarter 1 had higher sales than Quarter 2.
- Sales in Quarter 2 were higher than in Quarter 3. (Correct answer)
Correct answer: Sales in Quarter 2 were higher than in Quarter 3.
According to the data, Quarter 2 sales were £60,000 and Quarter 3 sales were £55,000. Therefore, the statement that sales in Quarter 2 were higher than in Quarter 3 is correct.
Question 3: A delivery driver records the following delivery times in minutes for one afternoon: 15, 22, 18, 25, 12, 18, 20. What are the range and the median of these delivery times?
- Range: 13, Median: 18 (Correct answer)
- Range: 18, Median: 13
- Range: 25, Median: 12
- Range: 13, Median: 19
Correct answer: Range: 13, Median: 18
To find the range, subtract the smallest value from the largest value (25 - 12 = 13). To find the median, first order the numbers (12, 15, 18, 18, 20, 22, 25) and find the middle value, which is 18.
Question 4: An office has 50 employees. It is known that 5 employees have not completed their mandatory health and safety training. If an employee is selected at random, what is the probability that they have NOT completed the training?
- 1 in 50
- 1 in 45
- 1 in 10 (Correct answer)
- 1 in 5
Correct answer: 1 in 10
Probability is calculated by dividing the number of specific outcomes (5 employees who have not completed training) by the total number of possible outcomes (50 employees). The fraction 5/50 simplifies to 1/10.
Question 5: A pie chart shows a department's weekly expenditure: 50% on Salaries, 25% on Materials, 15% on Utilities, and 10% on Miscellaneous. Which of the following statements is true?
- More is spent on Materials than on Salaries.
- Utilities and Miscellaneous combined account for one-third of the expenditure.
- Twice as much is spent on Salaries as is spent on Materials. (Correct answer)
- Salaries account for less than half of the expenditure.
Correct answer: Twice as much is spent on Salaries as is spent on Materials.
The chart shows 50% is spent on Salaries and 25% is spent on Materials. Since 50% is double 25%, the statement that twice as much is spent on Salaries as on Materials is correct.
Question 6: A manager is reviewing the number of sick days taken by 9 employees in the last year. The data is as follows: 2, 7, 3, 7, 8, 4, 7, 3, 5. What is the mode of this data set?
- 3
- 7 (Correct answer)
- 5
- 9
Correct answer: 7
The mode is the number that occurs most often in a set of data. In the list provided, the number 7 appears three times, which is more frequent than any other number.
Free BKSB Handling Data and Statistics Questions and Answers 1
A small cafe sells the following number of sandwiches over a 5-day period: Monday - 25, Tuesday - 30, Wednesday - 28, Thursday - 32, Friday - 40.
What is the mean (average) number of sandwiches sold per day?