Lengths of bus routes for any particular transit systemwill typically vary from one route to another. The article“Planning of City Bus Routes” (J. of the Institution ofEngineers, 1995: 211–215) gives the following informationon lengths (km) for one particular system:Length 62,8 82,10 102,12 122,14 142,16Frequency 6 23 30 35 32Length 162,18 182,20 202,22 222,24 242,26Frequency 48 42 40 28 27Length 262,28 282,30 302,35 352,40 402,45Frequency 26 14 27 11 2a. Draw a histogram corresponding to these frequencies.b. What proportion of these route lengths are less than20? What proportion of these routes have lengths of atleast 30?c. Roughly what is the value of the 90th percentile ofthe route length distribution?d. Roughly what is the median route length?
Lengths of bus routes for any particular transit system
will typically vary from one route to another. The article
“Planning of City Bus Routes” (J. of the Institution of
Engineers, 1995: 211–215) gives the following information
on lengths (km) for one particular system:
Length 62,8 82,10 102,12 122,14 142,16
Frequency 6 23 30 35 32
Length 162,18 182,20 202,22 222,24 242,26
Frequency 48 42 40 28 27
Length 262,28 282,30 302,35 352,40 402,45
Frequency 26 14 27 11 2
a. Draw a histogram corresponding to these frequencies.
b. What proportion of these route lengths are less than
20? What proportion of these routes have lengths of at
least 30?
c. Roughly what is the value of the 90th percentile of
the route length distribution?
d. Roughly what is the median route length?
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