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
The average of 28 numbers is 77. The average of first 14 numbers is 74 and the average of last 15 numbers is 84. If the 14 th number is excluded, then what is the average of remaining numbers? (correct to one decimal places)
24 students collected money for donation. The average contribution was Rs. 50. Later on, their teacher also contributed some money. Now the average contribution is Rs. 56. The teacher’s contribution is:
Out of 6 numbers, the sum of the first 5 numbers is 7 times the 6 th number. If their average is 136, then the 6 th number is:
The average of five numbers is 30. If one number is excluded, then average becomes 31. What is the excluded number?
The average weight of 49 students in a class is 39 kg. Seven of them whose average weight is 40 kg leave the class and other seven students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?
