Question 1170655
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.