BKSB Data and Statistical Interpretation Questions and Answers 1 — Questions and Answers
Question 1: A call centre agent handles the following number of calls each day from Monday to Friday: 25, 30, 22, 28, 25. What is the mean (average) number of calls handled per day?
- 28 calls
- 25 calls
- 26 calls (Correct answer)
- 30 calls
Correct answer: 26 calls
To find the mean, you add all the values together and then divide by the number of values. Sum of calls: 25 + 30 + 22 + 28 + 25 = 130. Number of days (values): 5. Mean = 130 ÷ 5 = 26.
Question 2: The table below shows the number of faulty items found during quality checks on a production line over one week. On which day was the number of faulty items highest? | Day | Faulty Items | |-----------|--------------| | Monday | 12 | | Tuesday | 8 | | Wednesday | 15 | | Thursday | 9 | | Friday | 11 |
- Monday
- Wednesday (Correct answer)
- Friday
- Tuesday
Correct answer: Wednesday
By reading the 'Faulty Items' column in the table, you can compare the values for each day. The highest number is 15, which corresponds to Wednesday.
Question 3: The daily temperatures (°C) recorded for a city over a week were: 14, 17, 13, 16, 18, 13, 15. What is the range of the temperatures?
- 13°C
- 18°C
- 3°C
- 5°C (Correct answer)
Correct answer: 5°C
The range is the difference between the highest and lowest values in a data set. The highest temperature is 18°C and the lowest is 13°C. The range is 18 - 13 = 5°C.
Question 4: A line graph is used to show a company's sales figures over the last four quarters. The line on the graph starts low in Q1, rises sharply in Q2, dips slightly in Q3, and then rises again in Q4 to its highest point. Which of the following statements best describes the overall trend?
- Sales are consistently decreasing.
- Sales are generally increasing. (Correct answer)
- Sales remained the same.
- Sales were highest in Q1.
Correct answer: Sales are generally increasing.
Although there was a slight dip in Q3, the line starts at its lowest point and ends at its highest point, showing a general upward or increasing trend in sales over the year.
Question 5: Which of the following data sets is best represented by a pie chart?
- The number of cars sold by a dealership each month for a year.
- The daily temperature changes during a week.
- The different eye colours of students in a class, shown as percentages of the total. (Correct answer)
- The height of a plant as it grows over several weeks.
Correct answer: The different eye colours of students in a class, shown as percentages of the total.
A pie chart is most effective for showing the proportions or percentages that make up a whole. Representing the percentage of students with each eye colour clearly shows how parts (eye colours) relate to the whole (the entire class).
Question 6: A survey asked 50 people about their preferred type of holiday. The results are shown in the bar chart below. Beach: 25 City Break: 15 Adventure: 10 How many more people chose a Beach holiday than a City Break?
- 15
- 25
- 10 (Correct answer)
- 5
Correct answer: 10
To find how many more people chose one option over another, you subtract the smaller value from the larger value. The number of people who chose Beach is 25, and the number who chose City Break is 15. The difference is 25 - 15 = 10.
A call centre agent handles the following number of calls each day from Monday to Friday: 25, 30, 22, 28, 25.
What is the mean (average) number of calls handled per day?