(c) Construct a Boxplot by Hand

For the boxplot:

Minimum: 11
Q1: 61
Median (Q2): 79
Q3: 91
Maximum: 98
Lower and Upper Fences: Draw dashed lines at 16 and 136 to indicate the fences, but no data points lie outside these bounds, so no circles (outliers) are needed. show the boxplot

Here's the boxplot constructed based on the provided data, with dashed lines indicating the lower and upper fences at 16 and 136. No outliers are present, so only the box and whiskers are displayed within the specified bounds.

Would you like further details on interpreting this boxplot or any other aspect of this data?

Here are some related questions for further exploration:

1. How would adding an outlier outside the fences affect the boxplot?
2. What do the quartiles tell us about the data's distribution?
3. How is the interquartile range (IQR) used to determine the fences?
4. Why are fences marked at 1.5 times the IQR?
5. How could the boxplot change if the median was closer to Q1 or Q3?

**Tip:** In a boxplot, the length of the box represents the interquartile range (IQR), indicating the middle 50% of the data distribution.

Construct a Boxplot by Hand. For the boxplot: Minimum: 11, Q1: 61, Median (Q2): 79, Q3: 91, Maximum: 98, Lower and Upper Fences: Draw dashed lines at 16 and 136 to indicate the fences, but no data points lie outside these bounds, so no circles (outliers) are needed. Show the boxplot.

Learn how to construct a boxplot by hand, using minimum, Q1, median, Q3, and maximum values along with fences to detect outliers. The example includes fences at 16 and 136, but no outliers are present. Suitable for students in Grades 9-11.

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