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For Roll No. 27-39:

Mathematics

ScanSolve AI Answer

For Roll No. 27-39:

You are required to prepare a simple daily routine chart for your summer holidays and plot a line graph, bar graph, and pie chart using the data.

Here is a sample daily routine chart:

Daily Routine Chart for Summer Holidays

ActivityTime (hours)Percentage of DayAngle for Pie Chart
Wake up/Morning routine28.33%8.33\%30∘30^\circ
Play/Leisure833.33%33.33\%120∘120^\circ
Study416.67%16.67\%60∘60^\circ
Sleep1041.67%41.67\%150∘150^\circ
Total24100%100\%360∘360^\circ

Plotting the Graphs:

  1. Line Graph:

    • Plot the activities on the horizontal (x) axis and the time spent (in hours) on the vertical (y) axis.
    • Mark a point for each activity corresponding to its time duration.
    • Connect these points with lines. This graph will show the variation in time allocated to different activities.
  2. Bar Graph:

    • Draw a horizontal (x) axis for the activities (Wake up, Play, Study, Sleep) and a vertical (y) axis for the time spent (in hours).
    • For each activity, draw a bar whose height corresponds to the number of hours spent on that activity.
    • Ensure the bars are of equal width and are separated by equal spaces. This graph visually compares the duration of each activity.
  3. Pie Chart:

    • Draw a circle.
    • Calculate the angle for each activity using the formula: Angle=(Time for activityTotal time (24 hours))×360∘\text{Angle} = \left( \frac{\text{Time for activity}}{\text{Total time (24 hours)}} \right) \times 360^\circ
    • Using a protractor, divide the circle into sectors based on these calculated angles:
      • Wake up/Morning routine: (224)×360∘=30∘\left( \frac{2}{24} \right) \times 360^\circ = 30^\circ
      • Play/Leisure: (824)×360∘=120∘\left( \frac{8}{24} \right) \times 360^\circ = 120^\circ
      • Study: (424)×360∘=60∘\left( \frac{4}{24} \right) \times 360^\circ = 60^\circ
      • Sleep: (1024)×360∘=150∘\left( \frac{10}{24} \right) \times 360^\circ = 150^\circ
    • Label each sector with the corresponding activity and its percentage. This chart shows the proportion of the day spent on each activity.
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