Study the table carefully and answer the questions:
The given data is regarding the number of paperback and hardbound books sold by four different book shops A, B, C and D :Shops Number of Hardbound books sold Number of Paperback books sold A 3500 2000 B 3900 5200 C 4400 5500 D 5500 6600
Analyzing Book Sales Data: Average Differences
This problem requires us to analyze the sales data provided in the table for four different book shops (A, B, C, and D), distinguishing between hardbound and paperback books. We need to calculate the difference between two specific averages.
Book Sales Data Table
| Shops | Number of Hardbound books sold | Number of Paperback books sold |
| A | 3500 | 2000 |
| B | 3900 | 5200 |
| C | 4400 | 5500 |
| D | 5500 | 6600 |
Calculating Average Hardbound Books (Shops A, B, D)
First, let's find the average number of hardbound books sold by shops A, B, and D.
- Total hardbound books sold by shops A, B, and D = Sum of hardbound books sold by A, B, D.
- Total = $3500 + 3900 + 5500 = 12900$
- Number of shops considered = 3
- Average hardbound books = $\frac{\text{Total hardbound books}}{\text{Number of shops}}$
- Average hardbound books = $\frac{12900}{3} = 4300$
Calculating Average Paperback Books (Shops C, D)
Next, we calculate the average number of paperback books sold by shops C and D.
- Total paperback books sold by shops C and D = Sum of paperback books sold by C, D.
- Total = $5500 + 6600 = 12100$
- Number of shops considered = 2
- Average paperback books = $\frac{\text{Total paperback books}}{\text{Number of shops}}$
- Average paperback books = $\frac{12100}{2} = 6050$
Finding the Difference Between Averages
Finally, we need to find the difference between the average number of paperback books sold by C and D, and the average number of hardbound books sold by A, B, and D.
- Difference = (Average paperback books sold by C and D) - (Average hardbound books sold by A, B, and D)
- Difference = $6050 - 4300$
- Difference = $1750$
Therefore, the difference between the average number of paperback books sold by shops C and D and the average number of hardbound books sold by shops A, B, and D is 1750.
Important Questions from Average
Average of 40 numbers is 71, if the number 100 replaced by 140, then average is increased by
The captain of a football team of 11 members is 28 years old and the goalkeeper is 4 years older than him. If the ages of these two are removed, then the average age of the remaining players is two years less than the average age of the whole team. What is the average age of the team?
There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.
Consider the following statements:
1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.
Which of the above statements is/are correct?
The average weight of A, B, Cis 40 kg, the average weight of B, D, Eis 42 kg and the weight of Fis equal to that of B. What is the average weight of A, B, C, D, Eand F?
A cow costs more than 4 goats but less than 5 goats. If a goat costs between Rs. 600 and Rs. 800, which of the following is a most valid conclusion?
