Data analysis Problem-Solving and Analytical Questions

1. You have a 3-liter jug and a 5-liter jug. How can you measure exactly 4 liters of water using only these two jugs?

2. A company has three different sales channels. If channel A contributes 50% of the total sales, channel B contributes 30%, and channel C contributes 20%, how would you interpret data showing a significant increase in channel C’s sales while the total sales have dropped?

3. You’re given a dataset containing sales numbers for different products over the last year. How would you identify the top three performing products? What steps would you take to analyze the data?

4. There are 100 people in a room. Each person shakes hands with every other person exactly once. How many total handshakes occur?

5. A retailer observes a month-over-month increase in sales, but the number of transactions remains the same. What could be some explanations for this phenomenon?

6. You are presented with a dataset of customer service ratings over the past year. How would you analyze the ratings to identify trends and areas for improvement? What statistical methods might you use?

7. If you flip a coin 10 times, what is the probability of getting exactly 6 heads?

8. A business wants to determine how to allocate its advertising budget across multiple channels. What factors would you consider when analyzing historical advertising performance data to inform this decision?

9. You have a dataset that includes customer demographics, purchase history, and feedback ratings. How would you approach segmenting this data to create targeted marketing strategies?

10. You are given a time series dataset of website traffic over a year. How would you identify any seasonal trends and forecast traffic for the next quarter?