Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
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 appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
