IDNLearn.com is your go-to resource for finding precise and accurate answers. Discover prompt and accurate answers from our experts, ensuring you get the information you need quickly.
Sagot :
Using the concepts and properties of mean and standard deviation, it is found that:
- Each test score has to be multiplied by 4 and increased by 27.
-------------------
- The mean of a data-set is the sum of all values in the data-set divided by the number of values.
- If all values are increased by x, the mean will also be increased by x.
- If all values are multiplied by x, the mean will also be multiplied by x.
- The standard deviation of a data-set is the square root of the sum of the differences squared of each value and the mean, divided by the number of values.
- If all values are increased by x, the standard deviation remains constant.
- If all values are multiplied by x, the standard deviation is also multiplied by x.
In this problem:
- First, we multiply, to find the desired standard deviation, then we add, to find the desired mean.
- Standard deviation of 3 we want to be 12, thus, we multiply each test score by 4, as [tex]\frac{12}{3} = 4[/tex].
- Multiplying by 4, the standard deviation will already be 12, but the mean will be 48.
- We want a mean of 75, thus, we have to increase each test score by 27, as 75 - 48 = 27.
A similar problem is given at https://brainly.com/question/20640860
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.
