Answer :
Final answer:
In a situation where all 83 students achieved the exact same score in the History final, the value of the standard deviation is 0.
Explanation:
To calculate the standard deviation, we need to find the difference between each data point and the mean, square each difference, calculate the average of the squared differences, and then take the square root of that average.
In this case, all 83 students achieved the exact same score in the History final. Since there is no variation in the scores, the difference between each score and the mean is 0 for all students. When we square each difference, we still get 0. Therefore, the average of the squared differences is also 0.
The standard deviation is the square root of the average of the squared differences. Since the average of the squared differences is 0, the standard deviation is also 0.
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