Question: Please explain step by step A data set consists of scores with values between 20 and 80. The mean is 48, with a standard deviation

Please explain step by step

A data set consists of scores with values between 20 and 80. The mean is 48, with a standard deviation of 10. Based on this information, complete the following statements about the distribution of the scores for this data.

a. According to Chebyshev's theorem, at least _______ of the scores lie between 23 and 73.

b. According to Chebyshev's theorem, at least 36% of the score lies between ____ and ____.

c. Suppose that the distribution is bell-shaped. According to the empirical rule, approximately

68% of data is between ____ and ____.

d. Suppose that the distribution is bell-shaped. According to the empirical rule, approximately

_____ is between 38 and 68.

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