Question
In: Math
A sample of the test scores from Mr. D’s old stats class is given below: 84,...
- A sample of the test scores from Mr. D’s old stats class is given below:
84, 67, 85, 82, 99, 78, 88, 94, 82, 90, 97, 88, 93, 91, 94, 80, 81, 86, 95, 91, 88, 96, 75, 90, 85, 89, 95, 85, 85, 86, 91.
A) Make a relative frequency histogram of the data using 7 classes.
B)According to Chebyshev, for the given data, between what two values could you expect to find 75% of the data?
Solutions
Expert Solution
Solution:
To find the relative frequency distribution, we first need to find the class width. We know that the range of the given data is 99 - 67 = 32 and the number of classes = 7. Therefore, the class width is:
Therefore, the relative frequency distribution and relative frequency histogram is:
B)According to Chebyshev, for the given data, between what two values could you expect to find 75% of the data?
Answer: The mean and standard deviation of the given data is:
According to Chebyshev's theorem, 75% of data lies within two standard deviations of the mean. Therefore, we have:
According to Chebyshev, for the given data, between 73.6 and 101.3 we would expect to find 75% of the data
milcah answered 3 months agoRelated Solutions
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