Find the mean of the data summarized in the given frequency distribution. Compar

Question

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 52.6 degrees. The mean of the frequency distribution is degrees. (Round to the nearest tenth as needed.) Which of the following best describes the relationship between the computed mean and the actual mean? A. The computed mean is close to the actual mean because the difference between the means is more than 5%. B. The computed mean is not close to the actual mean because the difference between the means is less than 5%. C. The computed mean is not close to the actual mean because the difference between the means is more than 5%. D. The computed mean is close to the actual mean because the difference between the means is less than 5%.

Explanation / Answer

Consider the midpoints to be the x values.

Consider:

Thus,  
  
Mean = Sum(xf) / Sum(f) =    52.18518519 [ANSWER]

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As we can see, this is close to 52.6, so,

OPTION D. [ANSWER]

x f x f 42 2 84 47 5 235 52 13 676 57 4 228 62 3 186

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