Assuming the sample mean and standard deviation are indicative of the class as a whole, the range your class might rank you is from 3 to 9.
What is the sample mean?
The term "Sample Mean" describes the average value of a sample of data taken from a sizable population of data. If the sample size is large and the statistical researchers select random population fragments, it is an effective tool for determining the population mean.
When the sample is large and representative, the estimate of the population mean, which is the average value across the entire population, is more likely to be close to the population mean.
Solution Explained:
So, we know sample mean = 3 and standard deviation = 6
And according to the empirical rule, 68% of the data is within the first standard deviation.
So,
6 - 3 = 3
6 + 3 = 9
Therefore the range of rank for you is from 3 to 9.
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