A farmer has 144 bags of new potatoes weighing 2.15 kg each. He also has 56 bags of potatoes fro

step 1 Dear students in problem number 7 we have to find the mean weight of potatoes so total as it is

A farmer has 144 bags of new potatoes weighing 2.15 kg each....

A farmer has 144 bags of new potatoes weighing $2.15 \mathrm{kg}$ each. He also has 56 bags of potatoes from last year with an average weight of $1.80 \mathrm{kg}$. Find the mean weight of a bag of potatoes available from this farmer.

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Key Concepts

Data Aggregation

Data aggregation involves summing or combining data from different sources or categories to form a total that can then be used in further calculations, such as calculating an overall mean. It is a key step in analyzing data sets that consist of multiple groups, ensuring that all relevant data is included in the final analysis.

Weighted Average

A weighted average takes into account the different sizes or frequencies of groups when calculating an overall average. Instead of treating all items equally, each group’s average is multiplied by the number of items in that group, these products are summed, and the result is divided by the total number of items. This method is particularly useful when combining results from groups with different contributions.

Arithmetic Mean

The arithmetic mean is a basic measure of central tendency calculated by summing a set of numbers and then dividing by the count of those numbers. It provides a simple representation of an average value across a collection of data points, assuming each data point contributes equally to the final result.

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