The most obese countries in the world have obesity rates that range from 11.4% to 74.6%....

The most obese countries in the world have obesity rates that range from 11.4% to 74.6%. This data is summarized in the following table. Percent of Population Obese Number of Countries 11.4–20.45 28 20.45–29.45 14 29.45–38.45 4 38.45–47.45 0 47.45–56.45 4 56.45–65.45 2 65.45–74.45 0 74.45–83.45 1 (a) What is the best estimate of the average obesity percentage for these countries? (Round your answer to two decimal places.) (b) The United States has an average obesity rate of 33.9%. Is this rate above average or below? (Round your answers to two decimal places.) Since the average for the United Sates is 33.9%, compared to the average obesity rate of %, the United States has an obesity rate % higher than average.

Expert Solution

(a) What is the best estimate of the average obesity percentage for these countries? (Round your answer to two decimal places.)

Answer : The sample mean of the percentage values will be the best estimate of the average obesity percentage for these countries which is given by :

Percent population Lower boun. - Upper bound.	Mid point (xi) = (Upper bound. + Lower bound.)/2	Number of countries (fi)	xi * fi
11.4-20.45	15.925	28	445.9
20.45-29.45	24.95	14	349.3
29.45-38.45	33.95	4	135.8
38.45-47.45	42.95	0	0
47.45-56.45	51.95	4	207.8
56.45-65.45	60.95	2	121.9
65.45-74.45	69.95	0	0
74.45-83.45	78.95	1	78.95
Total		53 =	1339.65 =

So, the mean is :	1339.65/53 =	25.27641509	%

(b) The United States has an average obesity rate of 33.9%. Is this rate above average or below? (Round your answers to two decimal places.)

Answer : Since the average for the United Sates is 33.9%, compared to the average obesity rate of 25.28%, the United States has an obesity rate ( 33.9-25.28)% = 8.62% higher than average.

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orchestra answered 2 years ago

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