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Traveling to work How long do people travel each day to get to work? The following table gives the average travel times to work (in minutes) for workers in each state and the District of Columbia who are at least 16 years old and don鈥檛 work at home. 3

Part (a). Make a histogram to display the travel time data using intervals of width 2 minutes, starting at 14 minutes.

Part (b). Describe the shape of the distribution. What is the most common interval of travel times

Short Answer

Expert verified

Part (a)

Part (b)

Roughly symmetric

22$<$24

Step by step solution

01

Part (a) Step 1. Given information. 

The following table gives the average travel times to work (in minutes) for workers in each state and the District of Columbia who are at least 16 years old and don鈥檛 work at home. 3

02

Part (a) Step 2. Given information. 

Table of frequencies

First, we'll calculate the frequency of each interval, which is the number of data values that fall within each interval. The first interval begins at 14 and has a width of 2, resulting in 14<16. The next intervals will be 16-<18, 18-<20, and so on until all data values are assigned to exactly one interval.

The frequency is then defined as the number of data values that belong to the class.

IntervalFrequency
14<162
16<184
18<202
20<228
22<2414
24<2612
26<285
28<302
30<322

Each bar's width must be the same, and the bars must be bounded by interval boundaries, while the height must be equal to the frequency.

03

Part (b) Step 1. The shape of the distribution. 

The distribution is roughly symmetric because the highest bars are roughly in the middle of the histogram.

The most frequent interval of travel times is 22-$$24.

As a result:

Roughly symmetric

22$<$24

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