To solve this problem, let's break it down step-by-step:
We are given that the mean of four numbers is 300. The mean is calculated as the sum of all numbers divided by the number of terms. Therefore, the sum of these four numbers can be calculated as follows:
\[\text{Sum of four numbers} = \text{Mean} \times \text{Number of terms} = 300 \times 4 = 1200\]
Next, we are told that the mean of two of the four numbers is 310. Again, using the definition of mean, we can find the sum of these two numbers:
\[\text{Sum of two numbers} = \text{Mean} \times \text{Number of terms} = 310 \times 2 = 620\]
Now, we need to find the mean of the other two numbers. First, let's find the sum of these other two numbers. Since we know the total sum of all four numbers and the sum of the two numbers with mean 310, we can calculate the sum of the remaining two numbers as follows:
\[\text{Sum of other two numbers} = \text{Total sum of four numbers} - \text{Sum of two numbers} = 1200 - 620 = 580\]
Finally, we calculate the mean of these other two numbers:
\[\text{Mean of other two numbers} = \frac{\text{Sum of other two numbers}}{\text{Number of terms}} = \frac{580}{2} = 290\]