While packaging cookies for the Easter show, Johnny recorded the number of broken cookies in each batch.
Broken cookies per batch
\(05\ ,\ 12\ ,\ 09\ ,\ 02\ ,\ 31\ ,\ 11\ ,\ 10\ ,\ 18\ ,\ 20\)
\(25\ ,\ 23\ ,\ 06\ ,\ 15\ ,\ 21\ ,\ 30\ ,\ 35\ ,\ 19\ ,\ 49\)
- Use the data to complete the stem-and-leaf plot below. (1 mark)
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- What is the range of broken cookies? (1 mark)
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- What is the median number of broken cookies? (1 mark)
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- Is the distribution symmetrical, positively skewed or negatively skewed? (1 mark)
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Show Answers Only
a.
b. \(47\)
c. \(18.5\)
d. \(\text{Positively skewed}\)
Show Worked Solution
a.
b. \(\text{Range} = 49-2=47\)
c. \(\text{18 scores → Median}\)
\(=\dfrac{\text{9th + 10th}}{2}\)
\(=\dfrac{18+19}{2}=18.5\)
d. \(\text{Positively skewed}\)