Average Property Explained
A key property of averages states that if every number in a dataset is multiplied by a constant value, the average of the dataset is also multiplied by that same constant.
Calculating the New Average
Let the original average of the 13 numbers be Aoriginal. We are given that Aoriginal = 8.
Each number is multiplied by a constant, k = 7.
According to the property of averages, the new average, Anew, is calculated as:
$ A_{new} = A_{original} \times k $
Substituting the given values:
$ A_{new} = 8 \times 7 $
$ A_{new} = 56 $
Therefore, the new average will be 56.
Important Questions from Average (Notes)
- Average age of 20 students of a class is 10 years. Average age of these students together with their five teachers is 14. The age of Ramesh Sir, one of their five teachers, is exactly the same as the average age of all their five teachers. The sum of the ages (in years) of all the students and Ramesh Sir is
- The average age of a group of boys and girls is 18 years. If the average age of boys is 20 years and that of girls is 15 years, then what is the percentage of boys in the group?
- If the average of six consecutive even numbers is 13, then the average of the next three even numbers is:
एक परिवार में, पिता और माता की औसत आयु 35 वर्ष है । पिता, माता और उनके इकलौते बेटे की औसत आयु 27 वर्ष है । बेटे की उम्र _____________ है।
- 5 क्रमागत संख्याओं का औसत n है । यदि अगली दो संख्याएँ भी शामिल कर ली जाएँ, तो 7 संख्याओं का औसत
