Concept explainers
The equation of the median fit line for the data shown below.
Age | 18 | 25 | 35 | 45 | 55 | 65 |
Number of Fire-fighters | 40919 | 245516 | 330516 | 296665 | 167087 | 54559 |
Answer to Problem 14PPS
The equation of median-fit line is
Explanation of Solution
Given: The given data between the age and fire-fighters is shown as,
Age | 18 | 25 | 35 | 45 | 55 | 65 |
Number of Fire-fighters | 40919 | 245516 | 330516 | 296665 | 167087 | 54559 |
Calculation:The equation for the median-fit line using the calculator for the given data is written as,
Here
The graph of median-fit line and plot the points.
Explanation of Solution
Given: The given data between the age and fire-fighters is shown as,
Age | 18 | 25 | 35 | 45 | 55 | 65 |
Number of Fire-fighters | 40919 | 245516 | 330516 | 296665 | 167087 | 54559 |
Graph: The graph for the median-fit line and points are plotted using the calculator as shown below.
Whether the median-fit line gives an accurate picture for the number of fire-fighters. Explain.
Answer to Problem 14PPS
No, the median fit-line does not give an accurate picture for the number of fire-fighters.
Explanation of Solution
Given: The given data between the age and fire-fighters is shown as,
Age | 18 | 25 | 35 | 45 | 55 | 65 |
Number of Fire-fighters | 40919 | 245516 | 330516 | 296665 | 167087 | 54559 |
Calculation:Since, the graph of median-fit line is increasing somewhere and decreasing somewhere as seen from the graph, which means it doesn’t give an accurate picture for the given data. Also, the graph of median fit line will be curved U-shape on joining the given points.
Hence, the obtained median-fit line cannot give an accurate picture for the given data.
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