Question

the table shows information about the masses of some strawberries.

work out an estimate for the total mass of all the strawberries.

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$$\begin{tabular}{|c|c|} \\hline \\text{mass of strawberries, } w\\text{ (g)} & \\text{frequency} \\\\ \\hline 0 < w \\le 20 & 4 \\\\ \\hline 20 < w \\le 40 & 5 \\\\ \\hline 40 < w \\le 60 & 2 \\\\ \\hline \\end{tabular}$$

Explanation:

Find the midpoints of each interval

Using the Interval Midpoint knowledge point

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Calculate the product of each midpoint and its frequency

Multiply each calculated midpoint by its corresponding frequency:

• For \(0 < w \le 20\): \(10 \times 4 = 40\)
• For \(20 < w \le 40\): \(30 \times 5 = 150\)
• For \(40 < w \le 60\): \(50 \times 2 = 100\)

Sum the products to estimate the total mass

Add the products together to find the estimated total mass:

$$ \text{Total Mass} \approx 40 + 150 + 100 = 290\text{ g} $$

Answer:

\(290\text{ g}\)