Question

1. look at the weekly item production log below. what was the median number of items produced across these five days?

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$$\begin{tabular}{|l|l|} \\hline day & items produced \\\\ \\hline monday & 120 \\\\ \\hline tuesday & 145 \\\\ \\hline wednesday & 110 \\\\ \\hline thursday & 160 \\\\ \\hline friday & 135 \\\\ \\hline \\end{tabular}$$

a. 110
b. 134
c. 135
d. 145

Explanation:

Extract the data values

We identify the production values for each day:

• Monday: \(120\)
• Tuesday: \(145\)
• Wednesday: \(110\)
• Thursday: \(160\)
• Friday: \(135\)

The dataset is:

$$ \{120, 145, 110, 160, 135\} $$

Order the dataset

To find the median, we arrange the values in ascending order:

$$ 110, 120, 135, 145, 160 $$

Identify the median

The median is the middle value of an ordered dataset.
For \(n = 5\) values, the middle position is:

$$ \frac{5 + 1}{2} = 3 $$

The third value in our ordered list is \(135\).
This corresponds to option C.

Answer:

• (A) 110
• (B) 134
• (C) 135 (Correct answer)
• (D) 145