Understanding the Data Table and Question

The question asks us to find the average of the difference between the number of items brought and the number of items sold specifically for Quarter Q1, across all five items (A, B, C, D, and E).

The table provides data for four quarters (Q1, Q2, Q3, Q4) for five different items. For each quarter and each item, it gives the number of items brought (B) and the number of items sold (S).

Focusing on Quarter Q1 Data

We need to extract the 'B' and 'S' values only for Quarter Q1 for each of the five items. Let's list them out:

• Item A: Brought (B) = 300, Sold (S) = 170
• Item B: Brought (B) = 270, Sold (S) = 180
• Item C: Brought (B) = 280, Sold (S) = 210
• Item D: Brought (B) = 320, Sold (S) = 250
• Item E: Brought (B) = 325, Sold (S) = 275

We can also represent this relevant data in a small table:

Calculating the Difference for each Item in Q1

The difference for each item in Q1 is calculated as Brought (B) - Sold (S):

• Item A Difference: $300 - 170 = 130$
• Item B Difference: $270 - 180 = 90$
• Item C Difference: $280 - 210 = 70$
• Item D Difference: $320 - 250 = 70$
• Item E Difference: $325 - 275 = 50$

Let's add the difference column to our small table:

Calculating the Average of the Differences

To find the average of these differences, we first sum up all the differences calculated for Q1:

Sum of differences = $130 + 90 + 70 + 70 + 50 = 410$

There are 5 items. So, the average difference is the sum of differences divided by the number of items.

Average Difference $= \frac{\text{Sum of differences}}{\text{Number of items}}$

Average Difference $= \frac{410}{5}$

Average Difference $= 82$

Final Answer Calculation

The average of the difference between item brought and item sold for Quarter Q1 is 82.

Therefore, the average of difference of item brought and item sold for Quarter Q1 is 82.

Revision Table Analysis

Understanding how to read and interpret data from tables is crucial for solving such problems. This question requires careful extraction of data for a specific quarter (Q1) and then performing a simple arithmetic calculation (difference and average) based on that extracted data.

Key steps involved:

• Identify the specific quarter (Q1) the question is asking about.
• Identify the values for 'B' (brought) and 'S' (sold) for each item within that quarter.
• Calculate the difference (B - S) for each item.
• Sum up all the differences.
• Divide the sum by the number of items to find the average.

Additional Information on Data Analysis and Averages

Data analysis often involves calculating simple statistics like differences and averages to understand trends or overall values. The average, or mean, is a single number that represents the central value of a set of numbers. It is calculated by summing all the numbers in the set and then dividing the sum by the count of numbers in the set.

In this problem, the difference (B-S) for Q1 tells us the net change in stock for each item during that quarter, based on the items brought in and sold. A positive difference means more items were brought than sold, potentially increasing inventory, while a negative difference would mean more items were sold than brought. The average difference gives a single value representing the typical net change across all items for that quarter.

Formulas used:

• Difference = Brought - Sold
• Average = $ \frac{\text{Sum of Values}}{\text{Count of Values}} $