Find the mean of the data summarized in the given frequency distribution. Compar
ID: 3241879 • Letter: F
Question
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 51.8 degrees.
(circleF)
40minus44
45minus49
50minus54
55minus59
60minus64
Frequency
22
55
1212
77
11
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 less 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 more than 5%.
Low Temperature(circleF)
40minus44
45minus49
50minus54
55minus59
60minus64
Frequency
22
55
1212
77
11
Explanation / Answer
The mean will be the middle value of the range * frequency. Thus it is (42*22+47*55+52*1212+57*77+62*11) /(22+55+1212+77+11)= (924+2585+63024+4389+682)/1377 = 51.99
The answer is A
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