the mean of the scores of student during the first 5 months is 23.8 ( what is the score of the 6 month if the mean of his scores is 24 marks?
sum of the first 5 months = 5x23.8 = 119
sum of scores for 6 months = 6x24 = 144
so the score for the 6th month is ...... ?
To find the score of the 6th month, we need to use the concept of the mean and the given information. Here's how to do it step by step:
Step 1: Calculate the sum of the scores of the first five months.
To do this, multiply the mean (23.8) by the number of months (5):
Sum of the first 5 months = 23.8 * 5
Step 2: Calculate the total sum of scores for all six months.
To do this, add the score of the 6th month to the sum of the first five months:
Total sum = (23.8 * 5) + x
Here, 'x' represents the score of the 6th month that we need to find.
Step 3: Calculate the sum of the scores for all six months given the mean of 24 marks.
To calculate the sum, multiply the mean (24) by the total number of months (6):
Total sum = 24 * 6
Step 4: Equate the two expressions for the total sum.
Since the total sum is the same, we can set them equal to each other:
(23.8 * 5) + x = 24 * 6
Step 5: Solve for 'x'.
Simplify and solve the equation:
119 + x = 144
Subtract 119 from both sides:
x = 144 - 119
The score for the 6th month is 25 marks.