For a batch of apples containing 100 apples the mean mass is 8 gm. For half number of apples selected from 100 apples the mean mass is 10 gm. Find the mean mass of other half number of apples
To find the mean mass of the other half number of apples, we need to use the given information.
We know that the mean mass of the entire batch of 100 apples is 8 grams. This means that the total sum of the masses of all 100 apples is (100 * 8) = 800 grams.
Now, we are told that for half the number of apples (50 apples), the mean mass is 10 grams. This means that the sum of the masses of these 50 apples is (50 * 10) = 500 grams.
To find the mean mass of the other half number of apples, we need to find the sum of the masses of these apples. We can calculate this by subtracting the sum of the masses of the 50 apples from the total sum of the masses of all 100 apples.
Sum of masses of other half number of apples = Total sum of masses of all 100 apples - Sum of masses of selected 50 apples
Sum of masses of other half number of apples = 800 grams - 500 grams
Sum of masses of other half number of apples = 300 grams
Since we have the sum of the masses of the other half number of apples, we can calculate the mean mass by dividing the sum by the number of apples. As half the number of apples is 50, the mean mass of the other half number of apples is:
Mean mass of other half number of apples = Sum of masses of other half number of apples / Half the number of apples
Mean mass of other half number of apples = 300 grams / 50
Mean mass of other half number of apples = 6 grams
Therefore, the mean mass of the other half number of apples is 6 grams.