The following table shows the cumulative number of sale of Red Electric Vehicles (EVs) out of the total number of Red and White EVs sold and the cumulative percentage of the total number of EVs sold in five different months from May to September. Based on the data in the table, answer the questions that follow.
Month-wise Sale Distribution of EVs
Months Cumulative number of sale of Red EVs Cumulative percentage of sale of EVs (Red and White in colour) May 360 25 % Till June 456 41 % Till July 816 61 % Till August 1032 79 % Till September 1232 100 %
Note: Total number of EVs (Red and White) sold in all the 5 months is 2400.
EV Sales Data Analysis
The question asks us to calculate the average number of White Electric Vehicles (EVs) sold across three specific months: May, June, and July. We are provided with a table detailing cumulative sales data for Red EVs and the cumulative percentage of total EVs (Red and White) sold, along with the total number of EVs sold over five months.
Provided EV Sales Data
First, let's establish the total number of EVs sold:
- Total EVs sold (May to September): 2400
To find the number of White EVs sold each month, we need to calculate the total number of EVs sold for each cumulative period and then subtract the cumulative number of Red EVs sold. This will give us the cumulative number of White EVs. To get the sales for a specific month, we subtract the previous month's cumulative White EV sales from the current month's cumulative White EV sales.
White EV Sales Calculation Steps
1. May EV Sales Calculation
We start by calculating the sales for May.
- Cumulative percentage of EVs sold till May: 25%
- Total EVs sold till May: This is calculated as 25% of the total EVs sold over 5 months.
Total EVs (May) = $\\textit{Total EVs} \\times \\textit{Percentage} = 2400 \\times \\frac{25}{100} = 600$
- Cumulative number of Red EVs sold till May (given in the table): 360
- Cumulative number of White EVs sold till May: To find this, we subtract the cumulative Red EV sales from the total EVs sold till May.
Cumulative White EVs (May) = $\\textit{Total EVs (May)} - \\textit{Red EVs (May)} = 600 - 360 = 240$
- Since May is the first month in our consideration, the number of White EVs sold *in* May is 240.
2. June EV Sales Calculation
Next, we calculate the sales for June.
- Cumulative percentage of EVs sold till June (given in the table): 41%
- Total EVs sold till June: Calculated as 41% of the total EVs sold over 5 months.
Total EVs (June) = $\\textit{Total EVs} \\times \\textit{Percentage} = 2400 \\times \\frac{41}{100} = 984$
- Cumulative number of Red EVs sold till June (given in the table): 456
- Cumulative number of White EVs sold till June: Subtract cumulative Red EV sales from total EVs sold till June.
Cumulative White EVs (June) = $\\textit{Total EVs (June)} - \\textit{Red EVs (June)} = 984 - 456 = 528$
- Number of White EVs sold *in* June: This is the difference between cumulative White EVs till June and cumulative White EVs till May.
White EVs (June) = $\\textit{Cumulative White EVs (June)} - \\textit{Cumulative White EVs (May)} = 528 - 240 = 288$
3. July EV Sales Calculation
Finally, we calculate the sales for July.
- Cumulative percentage of EVs sold till July (given in the table): 61%
- Total EVs sold till July: Calculated as 61% of the total EVs sold over 5 months.
Total EVs (July) = $\\textit{Total EVs} \\times \\textit{Percentage} = 2400 \\times \\frac{61}{100} = 1464$
- Cumulative number of Red EVs sold till July (given in the table): 816
- Cumulative number of White EVs sold till July: Subtract cumulative Red EV sales from total EVs sold till July.
Cumulative White EVs (July) = $\\textit{Total EVs (July)} - \\textit{Red EVs (July)} = 1464 - 816 = 648$
- Number of White EVs sold *in* July: This is the difference between cumulative White EVs till July and cumulative White EVs till June.
White EVs (July) = $\\textit{Cumulative White EVs (July)} - \\textit{Cumulative White EVs (June)} = 648 - 528 = 120$
Average White EV Sales Calculation
Now that we have the number of White EVs sold in each of the target months, we can calculate the average.
- White EVs sold in May: 240
- White EVs sold in June: 288
- White EVs sold in July: 120
To find the average number of White EVs sold in these three months (May, June, and July), we sum the sales for these months and divide by the number of months, which is 3.
Average White EVs = $\\frac{\\textit{White EVs (May)} + \\textit{White EVs (June)} + \\textit{White EVs (July)}}{3}$
Average White EVs = $\\frac{240 + 288 + 120}{3}$
Average White EVs = $\\frac{648}{3}$
Average White EVs = 216
Average White EV Sales Conclusion
Therefore, the average number of White EVs sold in May, June, and July together is 216.
Important Questions from Data Interpretation
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