OWNING THE DATASET
Understanding Source A: Text - Goals Document
| Information from Dataset |
Analysis |
| "A small British retail store has the following 6 monthly goals (Goals 1-6)" |
- The store has official performance goals measured each month
- This is a British store using pounds sterling (£)
|
| "1. The median number of transactions for the cashiers should be greater than 2,000" |
- Each cashier's transaction count is tracked
- Median = middle value when all cashiers are ranked
- Inference: Using median suggests concern about outliers - very high or low performers won't skew the measure
|
| "2. The arithmetic mean number of transactions for the cashiers should be greater than 2,000" |
- Mean = average of all cashiers' transactions
- Same 2,000 target as median
- Inference: Tracking both median and mean shows comprehensive performance monitoring
|
| "3. Each cashier should have a minimum of 1,800 transactions" |
- Individual minimum standard for every cashier
- No cashier should fall below 1,800
- Inference: This is 200 transactions below the median/mean targets - a safety floor
|
| "4. The median value of the transactions for the cashiers should be greater than 10 pounds sterling (£)" |
- Now tracking transaction value, not just count
- £10 target for typical transaction size
- Inference: Uses median again to avoid skewing by very large/small purchases
|
| "5. The arithmetic mean value of the transactions for each cashier should be greater than £10" |
- Each individual cashier needs £10+ average transaction value
- This is per-cashier, not store-wide
- Inference: Every cashier must maintain quality transactions
|
| "6. The arithmetic mean value of all the transactions should be greater than £10" |
- Overall store average transaction value
- Combines all cashiers together
- Inference: Both individual and collective performance matter
|
Summary: The store tracks six monthly goals focusing on transaction volume (Goals 1-3) and transaction value (Goals 4-6), with targets for both individual cashiers and overall store performance.
Understanding Source B: Table - Cashier Transaction Data
| Information from Dataset |
Analysis |
| "For the three months shown in the table, the retail store had exactly 7 cashiers" |
- Store has consistent staff of 7 cashiers
- No turnover during this period
- Inference: All cashiers worked all three months
|
| "The table shows the number of transactions for each cashier in these three months" |
- This is transaction count data only (not values)
- Complete data with no gaps
- Linkage to Source A: This data directly measures Goals 1-3
|
| Month 1 data: Cashier 1 (2,145) to Cashier 7 (1,786) |
- Cashier 1 had most transactions
- Cashier 7 had fewest
- Inference: 359 transaction spread between highest and lowest
- Linkage to Source A: Cashier 7 failed Goal 3 (1,800 minimum)
|
| Month 2 data: Range 1,744 to 2,045 |
- Cashiers 3 and 6 tied for most (2,045)
- Cashier 7 again had fewest (1,744)
- Inference: Slightly lower overall performance than Month 1
- Linkage to Source A: Cashier 7 failed Goal 3 again
|
| Month 3 data: Range 1,790 to 2,189 |
- Cashier 1 led again with 2,189
- Cashier 5 had fewest (1,790)
- Inference: More variation in this month
- Linkage to Source A: Cashier 5 failed Goal 3 this month
|
| Total transactions: Month 1: 14,242; Month 2: 13,295; Month 3: 13,585 |
- Month 1 had highest volume
- Month 2 was slowest
- Month 3 showed partial recovery
- Linkage to Source A: These totals help calculate means and medians for Goals 1-2
|
Summary: The transaction data reveals individual cashier performance over three months, with Month 2 showing the weakest performance and several cashiers failing to meet the 1,800 minimum in various months.
Understanding Source C: Table - Transaction Value Data
| Information from Dataset |
Analysis |
| "For each of Months 1-3, the table shows the total value of all transactions for that month" |
- Aggregate financial data for same period
- Values combined across all cashiers
- Linkage to Source A: This helps evaluate Goals 4-6 about transaction values
|
| "Month 1: £159,937.66" |
- Highest revenue month
- Precise accounting to the penny
- Linkage to Source B: Although Month 1 had the most transactions (14,242), Month 3 achieved the highest revenue
|
| "Month 2: £127,100.20" |
- Lowest revenue month
- About £33,000 less than Month 1
- Linkage to Source B: Confirms Month 2's poor performance - lowest in both transactions AND revenue
|
| "Month 3: £165,193.60" |
- Best performing month financially
- Even higher than Month 1
- Inference: Strong recovery from Month 2
- Linkage to Sources A & B: Month 3 had fewer transactions than Month 1 but higher revenue, suggesting better average transaction values (relevant to Goals 4-6)
|
Summary: The value data shows Month 3 achieved the highest revenue despite having fewer transactions than Month 1, indicating improved transaction quality, while Month 2 performed poorly in both volume and value.
Overall Summary
The dataset reveals a British retail store tracking detailed performance metrics for 7 cashiers over 3 months. Key insights include:
- Month 2 was the worst performing period across all metrics (lowest transactions and revenue)
- Month 3 achieved the highest revenue with fewer transactions than Month 1, indicating higher average transaction values
- Several cashiers failed to meet the 1,800 minimum transaction requirement, particularly Cashier 7 who failed in two months
- Evaluating all six goals requires combining the transaction count data with value data to calculate per-cashier averages
Question Analysis
The question asks whether each cashier (5, 6, and 7) had more than 1,800 transactions in each of the three months. The key constraints are:
- Must exceed Goal 3 amount (1,800 transactions)
- Must be true for all three months
- Evaluate each cashier separately
This requires a Yes/No evaluation for each cashier based on whether they consistently met the threshold across all periods.
Connecting to Our Analysis
The analysis shows Source A defines Goal 3 as minimum 1,800 transactions, and Source B provides exact transaction counts for all cashiers across all months. The transaction data and Goal 3 threshold are clearly stated, allowing for definitive evaluation of each cashier's performance against the requirement.
Extracting Relevant Findings
Evaluating each cashier's transaction counts against the 1,800 minimum threshold for all three months:
Goal 3 baseline: Minimum 1,800 transactions per month
Requirement: Each cashier must exceed 1,800 transactions in all three months
Cashier 5 Performance:
- Month 1: 2,041 transactions \(\mathrm{(2,041 \gt 1,800)}\) - Exceeded by 241
- Month 2: 1,789 transactions \(\mathrm{(1,789 \lt 1,800)}\) - Failed by 11
- Month 3: 1,790 transactions \(\mathrm{(1,790 \lt 1,800)}\) - Failed by 10
- Result: NO - Failed in months 2 and 3
Cashier 6 Performance:
- Month 1: 1,994 transactions \(\mathrm{(1,994 \gt 1,800)}\) - Exceeded by 194
- Month 2: 2,045 transactions \(\mathrm{(2,045 \gt 1,800)}\) - Exceeded by 245
- Month 3: 1,981 transactions \(\mathrm{(1,981 \gt 1,800)}\) - Exceeded by 181
- Result: YES - Exceeded minimum in all three months
Cashier 7 Performance:
- Month 1: 1,786 transactions \(\mathrm{(1,786 \lt 1,800)}\) - Failed by 14
- Month 2: 1,744 transactions \(\mathrm{(1,744 \lt 1,800)}\) - Failed by 56
- Month 3: 1,970 transactions \(\mathrm{(1,970 \gt 1,800)}\) - Exceeded by 170
- Result: NO - Failed in months 1 and 2
Individual Statement/Option Evaluations
Statement 1 Evaluation: "Yes"
- Criteria: Whether all cashiers (5, 6, and 7) exceeded 1,800 transactions in each of the three months
- Evidence: Only Cashier 6 met the requirement for all three months, while Cashiers 5 and 7 failed in multiple months
- Analysis: Since the question asks about "each cashier," all three must succeed for this to be true
- Conclusion: FALSE - Not all cashiers met the requirement
Statement 2 Evaluation: "No"
- Criteria: Whether it is correct that not all cashiers exceeded 1,800 transactions in each month
- Evidence: Cashier 5 failed in months 2 and 3, Cashier 7 failed in months 1 and 2, only Cashier 6 succeeded in all months
- Analysis: Since 2 out of 3 cashiers failed to meet the consistent monthly requirement, the answer "No" is accurate
- Conclusion: TRUE - "No" correctly reflects that the requirement was not universally met
Systematic Checking
Verification of transaction counts from Source B against Goal 3 from Source A:
- Cashier 5: Exceeded only in Month 1 (2,041 transactions)
- Cashier 6: Exceeded in all months (1,994, 2,045, 1,981 transactions respectively)
- Cashier 7: Exceeded only in Month 3 (1,970 transactions)
- Only Cashier 6 met the requirement for all three months
- Final assessment: Cashier 5 - No, Cashier 6 - Yes, Cashier 7 - No
Final Answer
- Statement 1: No
- Statement 2: Yes
