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 57 2 degrees Low Temperature ( 0 F)140-44 45-49 50-54 55-59 60-64 3 61153 degrees The mean of the frequency distribution is Round to the nearest tenth as needed.) Which of the following best descibes the relationship between the computed mean and the actual mean? O A. The computed mean is not close to the actual mean because the difference between the means is less than 5%. O B. The computed mean is close to the actual mean because the difference between the means is more than 5% O 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

Answer

Tabulated Data of Given Parameters:-

Solution

Mean =E(X)={(summation of XiFi)÷(summation of Fi)}

={[1451÷28]}

=51.8214

Hence ; The mean of the frequency distribution is 51.8214 degrees.

Part (b)

Relationship:-

Option (C) is Correct choice

Because The computed mean is not close to the actual mean because the difference between means is more than 5%

Note :-

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Low Temperature Midpoint(Xi) Frequency(Fi) XiFi 40-44 42 3 126 45-49 47 6 282 50-54 52 11 572 55-59 57 5 285 60-64 62 3 186 Total €Fi= 28 €Xifi=1451

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