Google-sheets – Making a chart in Google Sheets

1. From your spreadsheet, select the cells with data you'd like to include in the chart. Alternatively, you can select a range or multiple ranges of data from within the charts dialog. You can do so by clicking Select range... and entering one or more ranges by clicking Add another range.
   
   Note: It helps to label the data in your spreadsheet before creating a chart. For example, if you want to chart your expenses, you might have a row of numbers labeled 'Rent' and another labeled 'Groceries.' Then you might label columns by month or week, etc. These labels will appear automatically in the window where you create and preview your chart, as long as the labels are the first row and column of your selected range of cells.

2. Select the Chart icon in the menu bar or choose Insert > Chart. The charts dialog box appears. In the Start tab, you’re able to edit the range of cells to be included in your chart, select basic layout settings, and view recommended charts.

3. In the Start tab, you’re able to edit the range of cells to be included in your chart, select basic layout settings, and view recommended charts.
   Note: If you included labels for your data in your spreadsheet, you can specify that you want to use the first row and first column of your data as labels by checking the box next to ‘Use 1st row as headers’ and ‘Use 1st column as labels.’ These settings are automatically selected when you include labels in Row 1 and Column A in your spreadsheet.

4. If you decide that one of the recommended charts isn’t the right thing for your data or if you want to see more chart options, you can either click More >> or move on to the Charts tab.

5. Preview your chart and edit as necessary.
6. Click Insert. The chart appears in your spreadsheet. If you would like to go back to editing your spreadsheet without an inserted chart, click Cancel.

From the Creating a chart help page.

For the average, you can use the formula =ArrayFormula(AVERAGE(IF(A1:A7 <> 0; A1:A7))). To use this formula within the chart instead of its value, I don't know how to do it or even if it's possible. You could, however, add another cell (say A8) in which you compute the average value for the respective week and use that value to make you average values chart.

If the row you are using for labels contains dates, the spreadsheet supposes that you need an accurate representation of time. So it arranges the data chronologically and marks the time axis at equal time intervals:

If you want the specific dates to be used as labels, this means they should be used like text labels. Select the top row and apply Format->Number->Plain Text:

Now the columns are labeled with the text from the top row, and they are presented in the order of appearance in the spreadsheet.