Box And Whisker Plot Problems With Answers Pdf 7th Grade
Box and whisker plots are a graphical representation of numerical data that use quartiles to show the spread and central tendency of the data. This type of plot is commonly used in 7th-grade math to introduce students to data analysis and interpretation. In this article, we will discuss some box and whisker plot problems with answers that can help 7th-grade students understand the concept and learn how to solve these types of problems.
What is a Box and Whisker Plot?
A box and whisker plot is a diagram that shows the median, interquartile range (IQR), and outliers of a set of numerical data. The box in the plot represents the IQR, which is the range between the first and third quartiles (Q1 and Q3). The whiskers represent the range of the data, excluding the outliers. Outliers are data points that fall outside the whiskers.
Box and whisker plots are useful for comparing data sets and identifying any patterns or trends that may be present in the data. They are also helpful in identifying any outliers that may be present, which can affect the overall analysis of the data.
Examples of Box and Whisker Plot Problems
Let's take a look at some box and whisker plot problems with answers that 7th-grade students can use to practice their skills:
Example 1:
The following data represents the number of books read by students in a class over a period of one year:
- 10, 12, 8, 6, 18, 14, 16, 20, 24, 22, 26, 28, 30, 32
Create a box and whisker plot to represent this data.
Answer: The median is 20, the lower quartile (Q1) is 12, and the upper quartile (Q3) is 28. The IQR is 16 (Q3 – Q1), and there are no outliers.
Example 2:
The following data represents the height (in inches) of students in a class:
- 60, 62, 57, 66, 58, 64, 60, 61, 63, 65, 68, 67, 59, 62, 68, 70, 72, 73, 69, 74
Create a box and whisker plot to represent this data.
Answer: The median is 64, the lower quartile (Q1) is 60, and the upper quartile (Q3) is 70. The IQR is 10 (Q3 – Q1), and there are no outliers.
Example 3:
The following data represents the scores (out of 100) on a math test for a class of students:
- 85, 77, 92, 68, 95, 82, 70, 89, 94, 76, 80, 73, 87, 90, 88, 83, 78, 91
Create a box and whisker plot to represent this data.
Answer: The median is 85, the lower quartile (Q1) is 77, and the upper quartile (Q3) is 90. The IQR is 13 (Q3 – Q1), and there are no outliers.
Conclusion
Box and whisker plots are an important tool for analyzing numerical data in 7th-grade math. By understanding how to create and interpret box and whisker plots, students can learn how to identify patterns, compare data sets, and make informed conclusions based on the data. By practicing box and whisker plot problems with answers, students can reinforce their understanding of the concept and develop their data analysis skills.
