QUESTION IMAGE
Question
in a survey, 26 people were asked how many times per year they had their car in the shop for repairs:
| number of times in shop | frequency |
|---|---|
| 1 | 3 |
| 2 | 0 |
| 3 | 6 |
| 4 | 4 |
| 5 | 3 |
| 6 | 5 |
| total: | 26 |
construct a frequency polygon:
graph with grid, y - axis labeled from 1 to 6, x - axis labeled from 1 to 6, buttons clear all, draw: polygon, and question help options video, message instructor, post to forum
Step1: Identify data points
We have pairs of number - of - times in shop (x - values) and frequency (y - values). The x - values are 0, 1, 2, 3, 4, 5, 6 and the corresponding y - values are 5, 3, 0, 6, 4, 3, 5.
Step2: Plot points
On the x - axis, mark the number of times in shop and on the y - axis, mark the frequency. Plot the points (0, 5), (1, 3), (2, 0), (3, 6), (4, 4), (5, 3), (6, 5).
Step3: Connect points
Connect the plotted points with straight - line segments to form the frequency polygon. Also, to make it a closed polygon, connect the first point (0, 5) to a point with x - value of - 1 and y - value of 0 (an artificial point to close the polygon on the left - hand side) and the last point (6, 5) to a point with x - value of 7 and y - value of 0 (an artificial point to close the polygon on the right - hand side).
Since this is a graphical representation task and not possible to fully show the final polygon in text, the steps to construct it are as above. In a graphical software or on graph paper, follow the above steps to draw the frequency polygon.
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Step1: Identify data points
We have pairs of number - of - times in shop (x - values) and frequency (y - values). The x - values are 0, 1, 2, 3, 4, 5, 6 and the corresponding y - values are 5, 3, 0, 6, 4, 3, 5.
Step2: Plot points
On the x - axis, mark the number of times in shop and on the y - axis, mark the frequency. Plot the points (0, 5), (1, 3), (2, 0), (3, 6), (4, 4), (5, 3), (6, 5).
Step3: Connect points
Connect the plotted points with straight - line segments to form the frequency polygon. Also, to make it a closed polygon, connect the first point (0, 5) to a point with x - value of - 1 and y - value of 0 (an artificial point to close the polygon on the left - hand side) and the last point (6, 5) to a point with x - value of 7 and y - value of 0 (an artificial point to close the polygon on the right - hand side).
Since this is a graphical representation task and not possible to fully show the final polygon in text, the steps to construct it are as above. In a graphical software or on graph paper, follow the above steps to draw the frequency polygon.