Certainly! Let's solve the problem step by step:
### (i) Construct a line graph for the above data
The first step is to plot a line graph using the given data.
1. Prepare the Data:
- The days of the week are: Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday.
- The corresponding expenses are: 400, 600, 1300, 1000, 1200, and 300 Rs.
2. Plot the Data:
- On the horizontal axis (x-axis), we will mark the days of the week: Sunday, Monday, Tuesday, Wednesday, Thursday, and Friday.
- On the vertical axis (y-axis), we will mark the expense amounts. This can range from the minimum expense (300 Rs) to the maximum expense (1300 Rs). A good range for the y-axis could be from 0 to 1400 Rs for clarity.
3. Plot Points and Draw Lines:
- Mark the points corresponding to each day's expense.
- Draw lines connecting these points sequentially to form the line graph.
Here's a simple representation of the data points needed for the graph:
| Day | Expense (in Rs) |
|-----------|------------------|
| Sunday | 400 |
| Monday | 600 |
| Tuesday | 1300 |
| Wednesday | 1000 |
| Thursday | 1200 |
| Friday | 300 |
4. Label the Graph:
- Title: "Daily Expenses of a Family"
- X-axis: "Day"
- Y-axis: "Expense (in Rs)"
### (ii) Identify the days where expenses were more than Rs 1,000
Now, let's look at the given expense data and find out the days where the expenses exceed Rs 1,000:
- Sunday: 400 Rs
- Monday: 600 Rs
- Tuesday: 1300 Rs
- Wednesday: 1000 Rs
- Thursday: 1200 Rs
- Friday: 300 Rs
We compare each day's expense with 1000 Rs:
- Tuesday: 1300 Rs > 1000 Rs
- Thursday: 1200 Rs > 1000 Rs
So, the days where expenses were more than Rs 1,000 are:
- Tuesday
- Thursday
### Summary
1. To construct a line graph, plot the expenses against the days of the week and connect the points with lines.
2. The days with expenses more than Rs 1,000 are Tuesday and Thursday.
