Calculate the weighted mean by weighing each price by the quantity consumed: | Food items | Quantity consumed | Price per kg | |------------|-------------------|--------------| | Flour | 500 | 1.50 | | Ghee | 200 | 25.00 | | Sugar | 30 | 4.50 | | Potato | 15 | 0.50 | | Oil | 40 | 5.50 |

Question

SophiaElizab · Answer

To calculate the weighted mean, we will weigh each price by the quantity consumed. This means we'll multiply each item's price per kilogram by its quantity consumed to find the total cost for each item. Then, we'll sum these costs and divide by the total quantity consumed to find the weighted mean price per kilogram. 
 Here are the steps to calculate the weighted mean: 
 
 Calculate the total cost for each food item by multiplying the quantity consumed by the price per kg: 
 
 Flour: 500 × 1.50 = 750 
 Ghee: 200 × 25.00 = 5000 
 Sugar: 30 × 4.50 = 135 
 Potato: 15 × 0.50 = 7.5 
 Oil: 40 × 5.50 = 220

Sum up all the total costs calculated: 750 + 5000 + 135 + 7.5 + 220 = 6112.5 
 
 Find the total quantity consumed: 500 + 200 + 30 + 15 + 40 = 785 
 
 Calculate the weighted mean by dividing the total cost by the total quantity consumed: Weighted Mean = 785 6112.5 ​ ≈ 7.79

Therefore, the weighted mean price per kilogram, considering the quantities consumed, is approximately $7.79.

Calculate the weighted mean by weighing each price by the quantity consumed: | Food items | Quantity consumed | Price per kg | |------------|-------------------|--------------| | Flour | 500 | 1.50 | | Ghee | 200 | 25.00 | | Sugar | 30 | 4.50 | | Potato | 15 | 0.50 | | Oil | 40 | 5.50 |

Answer (1)

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