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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
For an experiment in Botany, two different plants, plant A and plant B were grown under similar laboratory conditions. Their heights were measured at the end of each week for 3 weeks. The results are shown by the following graph.
- How high was Plant A after (i) 2 weeks (ii) 3 weeks?
- How high was Plant B after (i) 2 weeks (ii) 3 weeks?
- How much did Plant A grow during the 3rd week?
- How much did Plant B grow from the end of the 2nd week to the end of the 3rd week?
- During which week did Plant A grow most?
- During which week did Plant B grow least?
- Were the two plants of the same height during any week shown here? Specify.
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 |
Can there be a time-temperature graph as follows? Justify your answer.
Draw the temperature-time graph in each of the following cases:
| Time (in hours): | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |
| Temperature (°F) in: | 100 | 101 | 104 | 103 | 99 | 98 | 100 |
Find out from the growth chart
- Between which days did the length of the plant change the most?
A line graph can also be a whole unbroken line.
Plot a line graph for the variables p and q where p is two times q i.e, the equation is p = 2q. Then find the value of q when p = 8
Study the graph and answer the questions that follow.
- What information does the graph give?
- On which day was the temperature the least?
- On which day was the temperature 31°C?
- Which was the hottest day?
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.
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.
