2.61 Interstate 29 intersects many other highways as it crosses four states in Mid-America, stretching from the southern end in Kansas City, MO, at I-35 to the northern end in Pembina, ND, at the Canadian border.

U.S. Interstate 29 Number of Number of State Miles Intersections State Miles Intersections Missouri 123 37 South Dakota 252 44 Iowa 161 32 North Dakota 217 40 Sources: Rand McNally and http://www.ihoz.com/ilist.html Consider the variable “distance between intersections.”

a. Find the mean distance between interchanges in Missouri.

b. Find the mean distance between interchanges in Iowa.

c. Find the mean distance between interchanges in North Dakota.

d. Find the mean distance between interchanges in South Dakota.

e. Find the mean distance between interchanges along U.S. I-29.

f. Find the mean of the four means found in answering parts a through d.

g. Compare the answers found to parts e and f.

Did you expect them to be the same? Explain why they are different.