Pooja collected data on the number of tickets sold at the Bhopal railway station for a few different cities of Madhya Pradesh over a 2-hour period. She used this data and prepared a bar graph on the board to discuss the data with her students, but someone erased a portion of the graph.
Write the number of tickets sold for Vidisha above the bar.
The number of tickets sold for Vidisha is 24.
Write the number of tickets sold for Jabalpur above the bar.
The number of tickets sold for Jabalpur is 20.
The bar for Vidisha is 6 unit lengths and the bar for Jabalpur is 5 unit lengths. What is the scale for this graph?
The scale for this graph is 1 unit length = 4 tickets. This is because Vidisha has 24 tickets with a bar of 6 units, so 24 ÷ 6 = 4 tickets per unit. Similarly, Jabalpur has 20 tickets with a bar of 5 units, so 20 ÷ 5 = 4 tickets per unit.
Draw the correct bar for Sagar.
The bar for Sagar should be 4 units high. Since Sagar has 16 tickets and the scale is 1 unit = 4 tickets, the bar height = 16 ÷ 4 = 4 units.
Add the scale of the bar graph placing the correct numbers on the vertical axis.
The vertical axis should be marked at intervals of 4: 0, 4, 8, 12, 16, 20, 24, 28, 32. The scale should indicate '1 unit = 4 tickets' or 'Scale: 1 unit length = 4 tickets'.
Are the bars for Seoni and Indore correct in this graph? If not, draw the correct bar(s).
The bar for Seoni should be 4 units (16 ÷ 4 = 4) and the bar for Indore should be 7 units (28 ÷ 4 = 7). Students should verify if the existing bars match these heights and correct them if necessary.
Explanation
(a) From the data table, Vidisha has 24 tickets sold. (b) From the data table, Jabalpur has 20 tickets sold. (c) To find the scale, divide the number of tickets by the bar length: 24 ÷ 6 = 4 or 20 ÷ 5 = 4. Both give the same scale of 4 tickets per unit. (d) Using the scale of 4 tickets per unit, Sagar's bar height = 16 ÷ 4 = 4 units. (e) The scale is 1 unit = 4 tickets, so the vertical axis should be marked accordingly with values increasing by 4. (f) Using the scale of 4 tickets per unit: Seoni = 16 ÷ 4 = 4 units, Indore = 28 ÷ 4 = 7 units. The bars should be drawn accordingly.