Question

"According to data from the city of Toronto, Ontario, Canada, there were nearly 112,000 parking infractions in the city for December 2020, with fines totaling over 5,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2020 are listed below. (Source: City of Toronto)

$Table displaying fines for 105 parking infractions in Toronto, with values ranging from 30 to 250 Canadian dollars.$

In Exercises 1–5, use technology. If possible, print your results.

Draw a histogram for the data. Does the distribution appear to be bell-shaped?"

Accepted Answer

Step 1: Organize the data into intervals (bins). For example, you can group the fines into intervals such as 30-50, 51-100, 101-150, and so on. This helps in creating a histogram. Step 2: Count the frequency of fines within each interval. For instance, count how many fines fall within the range of 30-50, 51-100, etc. Step 3: Use technology or graphing software to plot the histogram. On the x-axis, represent the intervals (bins), and on the y-axis, represent the frequency of fines within each interval. Step 4: Analyze the shape of the histogram. Check if the distribution appears symmetric and bell-shaped, or if it is skewed to the left or right. Step 5: Interpret the results. If the histogram is bell-shaped, it suggests that the data follows a normal distribution. If not, describe the observed pattern (e.g., skewness or uniformity).

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Key Concepts

Histogram

Distribution Shape

Bell-Shaped Distribution