Question

In: Math

A sample of the test scores from Mr. D’s old stats class is given below: 84,...

  1. 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


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