Grade 12 Box Plots Worksheet
This worksheet focuses on understanding and interpreting box plots, including identifying key statistical measures and comparing distributions for Grade 12 students.
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Grade 12 Box Plots Worksheet
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Read each question carefully and provide your answers in the spaces provided. Show all your work for calculations.
1. Consider the following data set: 12, 15, 18, 20, 22, 24, 25, 28, 30, 32, 35. Construct a box plot for this data set. Clearly label the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.
2. Which of the following statements is true about a box plot?
The mean is always represented by the line inside the box.
The box represents the middle 50% of the data.
The whiskers extend to the full range of the data, including outliers.
Box plots are best for showing the exact value of each data point.
3. What does the length of the box in a box plot represent?
The range of the entire data set.
The interquartile range (IQR).
The standard deviation.
The mean of the data.
4. In a box plot, the line inside the box represents the .
5. Outliers in a box plot are typically represented by individual points beyond the .
6. Two classes took the same math test. Their scores are represented by the following box plots:
a) Which class has a higher median score?
b) Which class has a larger interquartile range (IQR)? What does this tell you about the spread of scores?
7. A box plot provides a good visual representation of the skewness of a data distribution.
True
False
8. The median weight of puppies in a litter is 5 kg, the first quartile is 4 kg, and the third quartile is 6.5 kg. The minimum weight is 3.5 kg and the maximum is 7 kg. Are there any potential outliers in this data set based on the 1.5 IQR rule? Show your calculations.