If the mean of a set of 36 scores is 27 and two more scores of 40 and 42 are added, what is the new mean?
The mean is calculated with this general formula:
mean= (sum of numbers in a set)/(# of numbers)
You know that for a set of 36:
Mean=27
# of numbers=36
So:
27=(sum of numbers in a set)/36
which can be rearranged as:
sum of numbers in a set=27*36
sum of numbers in a set=972
Then, add your two new scores, and change the "number of numbers" to 38, and solve for the mean.
I hope that was clear (:
gn hm bdfl;bhf
To find the new mean after adding two more scores, we need to calculate the sum of the new set of scores and divide it by the total number of scores.
1. Calculate the sum of the initial set of scores: mean * number of scores = 27 * 36 = 972.
2. Add the two additional scores to the sum: 972 + 40 + 42 = 1054.
3. Calculate the new mean by dividing the sum by the total number of scores: new mean = sum / (number of scores + 2) = 1054 / 38 ≈ 27.74.
Therefore, the new mean, rounded to two decimal places, is approximately 27.74.