SOLUTION: The sales revenue (in 100k EUR, rounded) of different Hornbach branches in February and March 2019 was shown in the table below. Feb Mar Hornbach Bra

Question 1170655: The sales revenue (in 100k EUR, rounded) of different Hornbach branches in February and March 2019 was shown in the table below.
Feb Mar
Hornbach Branch 1 100 110
Hornbach Branch 2 500 508
Hornbach Branch 3 500 509
Hornbach Branch 4 1000 999
Hornbach Branch 5 5000 5005
Hornbach Branch 6 10000 9998
a) On the average, are the sales per Branch in March higher than Feb? Substantiate your answer b) On the average, are the sales over all branches in March higher than Feb? Substantiate your answer c) Discuss and explain the difference

Answer by CPhill(1987) (Show Source): You can put this solution on YOUR website!
Okay, let's analyze the sales data for Hornbach branches in February and March 2019.
**a) On average, are the sales per branch in March higher than Feb? Substantiate your answer.**
To answer this, we need to compare the sales for each individual branch.
* **Hornbach Branch 1:** March (110) > Feb (100) - Higher in March
* **Hornbach Branch 2:** March (508) > Feb (500) - Higher in March
* **Hornbach Branch 3:** March (509) > Feb (500) - Higher in March
* **Hornbach Branch 4:** March (999) < Feb (1000) - Lower in March
* **Hornbach Branch 5:** March (5005) > Feb (5000) - Higher in March
* **Hornbach Branch 6:** March (9998) < Feb (10000) - Lower in March
**Substantiation:**
* Out of the 6 branches, 4 showed higher sales in March than in February.
* 2 branches showed lower sales in March than in February.
**Conclusion:**
While there are exceptions, a majority of the branches (4 out of 6) had higher sales in March compared to February. Therefore, on average, the sales per branch tend to be slightly higher in March.
**b) On average, are the sales over all branches in March higher than Feb? Substantiate your answer.**
To answer this, we need to calculate the average sales for all branches in February and March separately and then compare.
* **Total Sales in February:** 100 + 500 + 500 + 1000 + 5000 + 10000 = 17100
* **Average Sales in February:** 17100 / 6 = 2850
* **Total Sales in March:** 110 + 508 + 509 + 999 + 5005 + 9998 = 17129
* **Average Sales in March:** 17129 / 6 = 2854.83
**Substantiation:**
* Average sales in February = 2850
* Average sales in March = 2854.83
**Conclusion:**
The average sales over all branches in March (2854.83) are slightly higher than the average sales in February (2850).
**c) Discuss and explain the difference.**
The difference in average sales between February and March is relatively small. Here's a discussion:
* **Small Overall Difference:** The overall average difference is not substantial. This indicates that while some branches saw growth, others experienced a slight decline, resulting in a minor change in the overall average.
* **Branch-Specific Variations:** The data shows that the sales performance varies significantly between branches. Some branches (like Branch 1, 2, 3, and 5) experienced increases in March, while others (like Branch 4 and 6) saw decreases.
* **High-Value Branches Impact:** Branches with very high sales revenue (like Branch 5 and 6) have a disproportionately large impact on the overall average. Even a small percentage change in these branches can significantly influence the overall average.
* **Possible Reasons for Variations:**
* **Seasonal Factors:** Consumer behavior might shift slightly between February and March, affecting sales of certain products.
* **Local Promotions:** Specific branches might have run different promotions or events in either month, leading to variations in sales.
* **Economic Factors:** Local economic conditions or competition could influence sales at individual branches.
* **Data Anomalies:** It's possible that there are minor data discrepancies or unusual sales patterns in certain branches for these months.
**In summary:** While the overall average sales are slightly higher in March, the real story is the branch-specific variations in sales performance. The difference is not very big, and the branches with higher sales revenue have a greater impact on the average.
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