Question

Find the mean of Low Temperature ( F) 40-44 45-49 50-54 55-59 60-64 computed mean to the actual mean of 51.1 degrees. 3 5 11 5 Round to the nearest tenth as needed.) Which of the following best describes the relationship between the computed mean and the actual mean? O B. The computed mean is close to the actual mean because the diference between the means is less than 5%. ° C. The computed mean is close to the actual mean because the difference between the means is more than 5%.

Answer 1

Actual mean = 51.1

$Mean= \bar{x}=\frac{\sum f*x}{\sum f}$

Low temp	Freq ( f)	x	f*x
40-44	3	42	126
45-49	5	47	235
50-54	11	52	572
55-59	5	57	285
60-64	1	62	62
Total	25		1280

$Mean= \bar{x}=\frac{\sum f*x}{\sum f}=\frac{1280}{25}=51.2$

The mean of the frequency distribution is 51.2 degrees.

B. The computed mean is close to the actual mean because the difference between the means is less than 5%