5. Th e author surveyed some of the students in one of his sta- tistics classes

Question

5. Th e author surveyed some of the students in one of his sta- tistics classes about the distances (in miles) they commute to college. Their responses are described by the histogram shown in Fig. 85. College Commute Distances 4 3 Fig (So 5 10 15 20 25 30 35 Miles a. Wha or c b. Ho per c. Ho Figure 85 Exercise 5 Source: J. Lehmann) a. What variable is described by the histogram? Is it discrete b. How many of the commute distances are between 17 and c. How many of the commute distances are at least 10 miles? or continuous? we e. C Fi 38 miles?

Explanation / Answer

5a. From the definitions, If a variable can take on any value between two specified values, it is called a continuous variable, otherwise it's a discrete variable.

For the variable distance commuted, the distance can take on any value, like 5.35, 2.666, etc. There is no restriction on the values this variable can take. Hence distance is a continuous variable.

b. The sum of the frequencies between 17 and 38 is 1+1 = 2. So we can conclude that 2 commute distances are between 17 and 38 miles.

c. At least 10 miles means 10 miles or more.

Commute distances of 10 miles or more is 5+1+1 = 7

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