Average of P and Q: Understand the Concept
The average (or mean) of a set of numbers is calculated by dividing the sum of the numbers by the count of the numbers in the set.
Applying the Average Formula
For two numbers, P and Q, the formula for the average is:
$ \text{Average} = \frac{P + Q}{2} $
Calculating the Sum
We are given that the average of P and Q is 35.
- Substitute the given average into the formula:
$ 35 = \frac{P + Q}{2} $
- To find the sum (P + Q), multiply both sides of the equation by 2:
$ P + Q = 35 \times 2 $
- Perform the multiplication:
$ P + Q = 70 $
Therefore, the sum of P and Q is 70.
Important Questions from Average
The average of 5 numbers is 15. Find a number which should be included in these numbers to make the average 16.
If the mean of the numbers 2, (p + 1), 8, 19, 16, 3 and p is 9, then find the mode of the numbers.
In a particular week, the average earning per day of a plumber from Monday to Wednesday remained ₹580 and from Thursday to Saturday it was ₹612. If the average earning for the whole week was ₹675, then how much did he earn on Sunday?
The average of the numbers 5, 3, 9, 11, 29 and (p+1) is 12. The average increases by 2 when the numbers (q – 5) and (q +11) are also included. Find the value of q.
If mode and mean of a data are 18 and 21 respectively, then median of the data is
