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प्रश्न
The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:
| Years: | 2002 | 2003 | 2004 | 2005 | 2006 |
| Number of patients: | 150 | 170 | 195 | 225 | 230 |
Represent this information by a graph.
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उत्तर
Here, years is an independent variable and the number of patients is a dependent variable. So, we take years on the x-axis and the number of patients on the y-axis.
Let us choose the following scale:
On x-axis: 2 cm = 1 year
On y-axis: 1 cm = 10 patients
Also, let us assume that on the x-axis, origin (O) represents 2001 and on the y-axis, origin (O) represents 120, i.e. O (2001, 120).
Now, let us plot (2002, 150), (2003, 170), (2004, 195), (2005, 225), (2006, 230). These points are joined to get the graph representing the given information as shown in the figure below.
संबंधित प्रश्न
Use the tables below to draw linear graphs.
Population (in thousands) of men and women in a village in different years.
| Year | 2003 | 2004 | 2005 | 2006 | 2007 |
| Number of men | 12 | 12.5 | 13 | 13.2 | 13.5 |
| Number of women | 11.3 | 11.9 | 13 | 13.6 | 12.8 |
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- What is the scale taken for the time axis?
- How much time did the person take for the travel?
- How far is the place of the merchant from the town?
- Did the person stop on his way? Explain.
- During which period did he ride fastest?
Can there be a time-temperature graph as follows? Justify your answer.
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| Overs: | I | II | III | IV | V | VI | VII | VIII | IX | X | XI | XII | XIII | XIV | XV |
| Runs: | 2 | 1 | 4 | 2 | 6 | 8 | 10 | 21 | 5 | 8 | 3 | 2 | 6 | 8 | 12 |
Draw the graph representing the above data in two different ways as a graph and as a bar chart.
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- Between which days did the length of the plant change the most?
A line graph can also be a whole unbroken line.
The following graph shows the change in temperature of a block of ice when heated. Use the graph to answer the following questions:
- For how many seconds did the ice block have no change in temperature?
- For how long was there a change in temperature?
- After how many seconds of heating did the temperature become constant at 0°C?
- What was the temperature after 25 seconds?
- What will be the temperature after 1.5 minutes? Justify your answer.
The following graph shows the number of people present at a certain shop at different times. Observe the graph and answer the following questions.
- What type of a graph is this?
- What information does the graph give?
- What is the busiest time of day at the shop?
- How many people enter the shop when it opens?
- About how many people are there in the shop at 1:30 pm?
As part of his science project, Prithvi was supposed to record the temperature every hour one Saturday from 6 am to midnight. At noon, he was taking lunch and forgot to record the temperature. At 8:00 pm, his favourite show came on and so forgot again. He recorded the data so collected on a graph sheet as shown below.
- Why does it make sense to connect the points in this situation?
- Describe the overall trend, or pattern, in the way the temperature changes over the time period shown on the graph.
- Estimate the temperature at noon and 8 pm.
