Root Mean Square Or Standard Deviation

In summary, the person is looking for a way to calculate their grade based on a college curve. The test average is 63 and the RMS is 16. The person got an 86 and is curious about their final grade. They mention that the professor curves to a 70, but note that simply adding a constant to everyone's marks may not be an accurate method.
  • #1
BadSkittles
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Hello, I've been trying to find online where I could calculate my grade based off a college curve. So the average grade on the test was a 63. The RMS is 16. I got a 86. So what will my grade curve to? This is out of 50 people. Also, the professor curves to a 70 (I think).
 
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  • #2
BadSkittles said:
Hello, I've been trying to find online where I could calculate my grade based off a college curve. So the average grade on the test was a 63. The RMS is 16. I got a 86. So what will my grade curve to? This is out of 50 people. Also, the professor curves to a 70 (I think).

You would need to know the formula/method the professor uses to scale the marks. Just adding a constant to everything will likely not work, as it can produce some marks > 100%.
 

1. What is the difference between root mean square and standard deviation?

Root mean square (RMS) and standard deviation (SD) are both measures of variability or dispersion within a dataset. However, RMS is calculated by taking the square root of the mean of the squared values, while SD is calculated by taking the square root of the variance. In simpler terms, RMS takes into account both positive and negative values, while SD only considers the positive deviations from the mean.

2. How is root mean square or standard deviation used in data analysis?

RMS and SD are commonly used in data analysis to measure the spread of data points around the mean or average value. They are often used to describe the variability within a dataset and to compare the variability of different datasets. They can also be used to identify outliers or extreme values in a dataset.

3. Can root mean square or standard deviation be negative?

No, both RMS and SD cannot be negative. Since they are calculated by taking the square root of the mean or variance, they will always result in a positive value.

4. How do you interpret the value of root mean square or standard deviation?

The value of RMS or SD can be interpreted as the average amount of deviation or difference from the mean. A higher value indicates a larger spread of data points, while a lower value indicates a smaller spread.

5. What are the limitations of using root mean square or standard deviation?

RMS and SD can be influenced by extreme values or outliers in a dataset, which can skew the results. Additionally, they do not provide information about the shape or distribution of the data, so it is important to consider other measures of variability in conjunction with RMS and SD to fully understand the data.

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