Box and Whisker Plot Worksheet
This worksheet helps Grade 10 students understand and interpret box and whisker plots, including identifying key statistical measures and comparing data sets.
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Box and Whisker Plot Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
A box and whisker plot displays the five-number summary of a set of data: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
The box represents the interquartile range (IQR), which is the middle 50% of the data. The whiskers extend to the minimum and maximum values within 1.5 times the IQR from the quartiles.
The box and whisker plot below represents the test scores of a Math class.
1. What is the median test score?
2. What is the interquartile range (IQR) of the test scores?
3. What percentage of students scored between 70 and 90?
4. Which of the following is NOT represented in a box and whisker plot?
Mean
Median
Minimum
Maximum
5. If the median of a data set is 50 and the third quartile is 65, what does this tell you about the data?
25% of the data is above 65.
50% of the data is between 50 and 65.
75% of the data is below 65.
The range of the data is 15.
6. The is the middle value of a data set when it is ordered from least to greatest.
7. The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the (Q3).
8. A box and whisker plot effectively displays the of a data set.
9. Explain how a box and whisker plot helps in understanding the spread and distribution of a data set.