The accompanying table shows the birth weights (in ounces) of the 625 babies bor

Question

The accompanying table shows the birth weights (in ounces) of the 625 babies born in the hospitals in a certain city during the past year. Complete parts (a) through (c) below. (a) Give the length of each class interval (in ounces). ounces (b) Suppose that a baby weighs exactly 4 pounds 8 ounces To what class interval does she belong? Describe the endpoint convention. The baby that weighs exactly 4 pounds 8 ounces belongs to the class interval consisting of weights more than ounces and less than or equal to ounces. Describe the endpoint convention. Choose the correct answer below. A. A value that falls exactly on the boundary' between two class intervals belongs to both of the class intervals. B. A value that falls exactly on the boundary between two class intervals belongs to the class interval to the left. C. A value that falls exactly on the boundary between two class intervals belongs to the class interval to the right. D. There is no endpoint convention because

Explanation / Answer

(a) The length of each class interval is 12oz.

(b) Since 1 lb = 16oz, therefore, 4lb, 8oz = 64+8 = 72oz. Then the baby belongs to the class more than 60 and less than or equal to 72 oz.

(c) While making a distribution of a data set, one must decide whether to include a data point that lies at a class boundary with the class interval to the left or the right of the boundary. The related rule is called an endpoint convention. The two standard endpoint conventions are (a) to include the left endpoint of all class intervals and exclude the right, except for the rightmost class interval, which includes both of its endpoints, and (b) to include the right endpoint of all class intervals and exclude the left, except for the leftmost interval, which includes both of its endpoints.

In the present case, a value that falls exactly on the boundary belongs to the class interval to the left. The inclusion, as described above, depends on the endpoint convention adopted.

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